diff --git a/.gitignore b/.gitignore
index 1fd0376..0661491 100644
--- a/.gitignore
+++ b/.gitignore
@@ -13,7 +13,6 @@ src/RSI_tk.jl
RhombGraph.ipynb
logo_tensorBinding.svg
examples/nontracked/
-GPU_tk.jl
Conductivity_tk.jl
TensorBinding_JOSS_AI.txt
docs/src/joss.txt
diff --git a/examples/dynamics/time_evolution.ipynb b/examples/dynamics/time_evolution.ipynb
index 1bbae8e..0dd4011 100644
--- a/examples/dynamics/time_evolution.ipynb
+++ b/examples/dynamics/time_evolution.ipynb
@@ -1,17 +1,4 @@
{
- "nbformat": 4,
- "nbformat_minor": 5,
- "metadata": {
- "kernelspec": {
- "display_name": "Julia 1.10",
- "language": "julia",
- "name": "julia-1.10"
- },
- "language_info": {
- "name": "julia",
- "version": "1.10.0"
- }
- },
"cells": [
{
"cell_type": "markdown",
@@ -29,7 +16,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 1,
"id": "te_imports",
"metadata": {},
"outputs": [],
@@ -38,7 +25,7 @@
"using Plots\n",
"using ITensors\n",
"using ITensorMPS\n",
- "include(\"../src/TensorBinding.jl\")\n",
+ "include(\"../../src/TensorBinding.jl\")\n",
"using .TensorBinding"
]
},
@@ -5015,5 +5002,20 @@
")"
]
}
- ]
-}
\ No newline at end of file
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Julia 1.12",
+ "language": "julia",
+ "name": "julia-1.12"
+ },
+ "language_info": {
+ "file_extension": ".jl",
+ "mimetype": "application/julia",
+ "name": "julia",
+ "version": "1.12.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/examples/manybody/many_body.ipynb b/examples/manybody/many_body.ipynb
index ed1fed2..1af9397 100644
--- a/examples/manybody/many_body.ipynb
+++ b/examples/manybody/many_body.ipynb
@@ -1,17 +1,4 @@
{
- "nbformat": 4,
- "nbformat_minor": 5,
- "metadata": {
- "kernelspec": {
- "display_name": "Julia 1.10",
- "language": "julia",
- "name": "julia-1.10"
- },
- "language_info": {
- "name": "julia",
- "version": "1.10.0"
- }
- },
"cells": [
{
"cell_type": "markdown",
@@ -30,7 +17,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 16,
"id": "mb_imports",
"metadata": {},
"outputs": [],
@@ -39,7 +26,7 @@
"using Plots\n",
"using ITensors\n",
"using ITensorMPS\n",
- "include(\"../src/TensorBinding.jl\")\n",
+ "include(\"../../src/TensorBinding.jl\")\n",
"using .TensorBinding"
]
},
@@ -53,11 +40,11 @@
"\n",
"An exciton is a correlated electron-hole pair. In the quantics representation\n",
"the two-particle Hilbert space is encoded on a `2L`-qubit chain:\n",
- "sites `1..L` for the electron, sites `L+1..2L` for the hole.\n",
+ "odd sites for the electron position qubits and even sites for the hole position qubits.\n",
"\n",
"The exciton Hamiltonian is\n",
"$$H_{\\rm exc} = H_e \\otimes I_h + I_e \\otimes H_h + V_{eh}$$\n",
- "where $V_{eh}(r_e, r_h) = -U/|r_e - r_h|$ is the Coulomb attraction.\n",
+ "where $V_{eh}(r_e, r_h) = -U(r,r)$ is a Hubbard-type interaction that can be modulated in space.\n",
"\n",
"The `2L`-site MPO makes the standard MPO-mode Chebyshev list expensive;\n",
"the **MPS mode** (`KPM_Tn(H, Ncheb, X; ...)`) propagates a single reference\n",
@@ -65,54 +52,752 @@
]
},
{
- "cell_type": "markdown",
- "id": "sp_exc_intro",
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "sp_exc_build",
"metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "TBHamiltonian | L=5, N=32 [exciton, D=1024], scale=10.0, maxlinkdim=11 | geometry: 32 sites, 1D | no Tn cache\n"
+ ]
+ }
+ ],
"source": [
- "---\n",
- "## 2. Exciton Hamiltonians\n",
+ "# 1D electron + hole on a chain; APSOS-style modulated type-I confinement\n",
+ "L_exc = 5 # 2^5 = 32 sites per particle\n",
+ "t_exc = -1.0\n",
+ "U_exc = 6.0 # contact attraction strength\n",
+ "V0_exc = 1.5 # confinement scale\n",
+ "scale_exc = 10.0\n",
+ "maxdim_exc = 100\n",
"\n",
- "An exciton is a correlated electron-hole pair. In the quantics representation\n",
- "the two-particle Hilbert space is encoded on a `2L`-qubit chain:\n",
- "sites `1..L` for the electron, sites `L+1..2L` for the hole.\n",
+ "N_sites_exc = 2^L_exc\n",
"\n",
- "The exciton Hamiltonian is\n",
- "$$H_{\\rm exc} = H_e \\otimes I_h + I_e \\otimes H_h + V_{eh}$$\n",
- "where $V_{eh}(r_e, r_h) = -U/|r_e - r_h|$ is the Coulomb attraction.\n",
+ "function Vx_exc(x; V0=V0_exc, N=N_sites_exc)\n",
"\n",
- "The `2L`-site MPO makes the standard MPO-mode Chebyshev list expensive;\n",
- "the **MPS mode** (`KPM_Tn(H, Ncheb, X; ...)`) propagates a single reference\n",
- "state $|X, X\\rangle$ and is the recommended approach."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "id": "sp_exc_build",
- "metadata": {},
- "outputs": [],
- "source": [
- "# 1D electron + hole on a chain; Coulomb attraction\n",
- "L_exc = 5 # 2^5 = 32 sites per particle\n",
- "t_exc = 1.0\n",
- "U_exc = 2.0 # Coulomb strength\n",
+ " b = sqrt(3)*N/10\n",
+ " k = 2*pi/b\n",
+ "\n",
+ " return V0*(1 + 0.2*(cos(k*x)))\n",
+ "end\n",
"\n",
- "H_exc = TensorBinding.get_Hamiltonian(\"exciton_1d\", (t=t_exc, U=U_exc); L=L_exc)\n",
+ "H_exc = TensorBinding.exciton_hamiltonian(\"chain_1d\", t_exc, x -> U_exc;\n",
+ " L = L_exc,\n",
+ " on_site = Vx_exc,\n",
+ " scale = scale_exc,\n",
+ " maxdim = maxdim_exc)\n",
"println(H_exc)"
]
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 20,
"id": "sp_exc_kpm",
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "image/svg+xml": [
+ "\n",
+ "\n"
+ ],
+ "text/html": [
+ "
"
+ ]
+ },
+ "execution_count": 20,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
- "# MPS-mode KPM: propagate |X,X> (electron and hole both at site X)\n",
- "X_exc = H_exc.N ÷ 2 # exciton centre\n",
- "Ncheb_e = 80\n",
- "mdim_e = 60\n",
- "TensorBinding.KPM_Tn(H_exc, Ncheb_e, X_exc; maxdim=mdim_e)"
+ "# Exciton LDOS A(X, omega) = \n",
+ "X_list_exc = collect(1:H_exc.N)\n",
+ "Ncheb_exc = 80\n",
+ "mdim_exc = 100\n",
+ "cutoff_exc = 1e-6\n",
+ "m_order_exc = 6\n",
+ "eta_exc = 1 / (Ncheb_exc + 1)\n",
+ "omega_exc = range(-8.0, 8.0; length=160)\n",
+ "\n",
+ "ldos_exc_mat = TensorBinding.get_exciton_ldos_spatial(H_exc, Ncheb_exc, omega_exc;\n",
+ " X_list = X_list_exc,\n",
+ " kernel = :hodc,\n",
+ " eta = eta_exc,\n",
+ " m_order = m_order_exc,\n",
+ " maxdim = mdim_exc,\n",
+ " cutoff = cutoff_exc)\n",
+ "\n",
+ "heatmap(X_list_exc, collect(omega_exc), ldos_exc_mat;\n",
+ " xlabel=\"X\", ylabel=\"energy\", colorbar_title=\"LDOS\",\n",
+ " title=\"Exciton LDOS A(X, omega)\", color=:inferno)"
]
},
{
@@ -120,71 +805,118 @@
"execution_count": null,
"id": "sp_exc_ldos",
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "image/svg+xml": [
+ "\n",
+ "\n"
+ ],
+ "text/html": [
+ "
"
+ ]
+ },
+ "execution_count": 21,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
- "# Exciton LDOS at |X,X>\n",
- "omega_exc = range(-6.0, 6.0; length=120)\n",
- "ldos_exc = [TensorBinding.get_ldos_online(H_exc, Ncheb_e, X_exc, [omega_p]; maxdim=mdim_e)[1]\n",
- " for omega_p in omega_exc]\n",
+ "# Stochastic exciton DOS. The CPU helper supports bound-sector enrichment.\n",
+ "N_sample_exc = 20\n",
+ "N_bound_exc = 12\n",
+ "seed_exc = 42\n",
"\n",
- "plot(collect(omega_exc), ldos_exc;\n",
- " xlabel=\"energy\", ylabel=\"LDOS\", title=\"Exciton LDOS at X=$(X_exc)\",\n",
- " legend=false, lw=2)"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "mb_sec2",
- "metadata": {},
- "source": [
- "---\n",
- "## 2. RPA susceptibility via Wynn ε-algorithm\n",
+ "dos_full_exc = TensorBinding.get_dos_stochastic(H_exc, Ncheb_exc, omega_exc;\n",
+ " N_sample = N_sample_exc,\n",
+ " N_bound = 0,\n",
+ " seed = seed_exc,\n",
+ " kernel = :hodc,\n",
+ " eta = eta_exc,\n",
+ " m_order = m_order_exc,\n",
+ " normalize = false,\n",
+ " dos_weighting = :sample,\n",
+ " maxdim = mdim_exc,\n",
+ " cutoff = cutoff_exc)\n",
"\n",
- "The Random Phase Approximation resums the Dyson series for the interacting\n",
- "susceptibility:\n",
- "$$\\chi = \\chi_0 + \\chi_0 U \\chi_0 + \\cdots = \\frac{\\chi_0}{1 - U\\chi_0}$$\n",
+ "dos_bound_exc = TensorBinding.get_dos_stochastic(H_exc, Ncheb_exc, omega_exc;\n",
+ " N_sample = 0,\n",
+ " N_bound = N_bound_exc,\n",
+ " seed = seed_exc + 1,\n",
+ " kernel = :hodc,\n",
+ " eta = eta_exc,\n",
+ " m_order = m_order_exc,\n",
+ " normalize = false,\n",
+ " dos_weighting = :sample,\n",
+ " maxdim = mdim_exc,\n",
+ " cutoff = cutoff_exc)\n",
"\n",
- "The bare $\\chi_0(q,\\omega)$ is computed from the KPM density matrix and Green's\n",
- "function. Wynn's epsilon algorithm accelerates convergence of the partial sums."
+ "dos_total_exc = dos_full_exc .+ dos_bound_exc\n",
+ "\n",
+ "plot(collect(omega_exc), [dos_full_exc dos_bound_exc dos_total_exc];\n",
+ " xlabel=\"energy\", ylabel=\"sample-weighted DOS\",\n",
+ " title=\"Stochastic exciton DOS\",\n",
+ " label=[\"full-space samples\" \"bound |X,X> samples\" \"sum\"], lw=2)"
]
},
{
"cell_type": "markdown",
"id": "68de97f0",
"metadata": {},
- "source": [
- "---\n",
- "## 5. RPA susceptibility via Wynn ε-algorithm\n",
- "\n",
- "The Random Phase Approximation resums the Dyson series for the interacting\n",
- "susceptibility:\n",
- "\n",
- "$$\\chi_\\text{RPA} = \\Pi_0 + \\Pi_0 V \\Pi_0 + \\Pi_0 V \\Pi_0 V \\Pi_0 + \\cdots\n",
- "= (I - \\Pi_0 V)^{-1} \\Pi_0$$\n",
- "\n",
- "where $\\Pi_0(\\omega)$ is the non-interacting polarization bubble and $V$ is the\n",
- "bare interaction.\n",
- "\n",
- "**Efficient workflow** (two improvements over the raw MPO approach):\n",
- "\n",
- "1. **Density matrix once** — $P = \\theta(\\mu - H)$ is computed a single time via\n",
- " McWeeny purification and cached in `H._density_cache`. All frequencies share\n",
- " the same $P$; no KPM loop is needed.\n",
- "\n",
- "2. **Wynn ε-algorithm** — instead of solving the large linear system $(I - \\Pi_0 V)\\chi = \\Pi_0$\n",
- " at every $\\omega$, we build the Neumann series\n",
- " $T_0 = \\Pi_0$, $T_n = T_{n-1} V \\Pi_0$, extract scalars\n",
- " $s_n(q) = -\\operatorname{Im}\\langle q | T_n | q \\rangle / \\pi$ via `get_spect_k`,\n",
- " and apply the Wynn ε-algorithm to the partial-sum sequence $[S_0, S_1, \\ldots, S_K]$\n",
- " per $(q, \\omega)$. With $K = 6$ terms, the Padé estimate $\\varepsilon_6$ typically\n",
- " converges as well as hundreds of MPO solves.\n",
- "\n",
- "All of this is exposed through the single call `get_rpa_susceptibility_wynn`."
- ]
+ "source": "---\n## 2. RPA susceptibility via Wynn ε-algorithm\n\nThe Random Phase Approximation resums the Dyson series for the interacting\nsusceptibility:\n\n$$\\chi_\\text{RPA} = \\Pi_0 + \\Pi_0 V \\Pi_0 + \\Pi_0 V \\Pi_0 V \\Pi_0 + \\cdots\n= (I - \\Pi_0 V)^{-1} \\Pi_0$$\n\nwhere $\\Pi_0(\\omega)$ is the non-interacting polarization bubble and $V$ is the\nbare interaction.\n\n**Efficient workflow** (two improvements over the raw MPO approach):\n\n1. **Density matrix once** — $P = \\theta(\\mu - H)$ is computed a single time via\n McWeeny purification and cached in `H._density_cache`. All frequencies share\n the same $P$; no KPM loop is needed.\n\n2. **Wynn ε-algorithm** — instead of solving the large linear system $(I - \\Pi_0 V)\\chi = \\Pi_0$\n at every $\\omega$, we build the Neumann series\n $T_0 = \\Pi_0$, $T_n = T_{n-1} V \\Pi_0$, extract scalars\n $s_n(q) = -\\operatorname{Im}\\langle q | T_n | q \\rangle / \\pi$ via `get_spect_k`,\n and apply the Wynn ε-algorithm to the partial-sum sequence $[S_0, S_1, \\ldots, S_K]$\n per $(q, \\omega)$. With $K = 6$ terms, the Padé estimate $\\varepsilon_6$ typically\n converges as well as hundreds of MPO solves.\n\nAll of this is exposed through the single call `get_rpa_susceptibility_wynn`."
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": 22,
"id": "27fc4738",
"metadata": {},
"outputs": [
@@ -192,16 +924,9 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "Pre-computing P via McWeeny purification..."
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "\n",
- "Tr(P) = 15.99996522081863 (target N/2 = 16)\n",
- "maxlinkdim(P) = 13\n",
+ "Pre-computing P via McWeeny purification...\n",
+ "Tr(P) = 15.99999515968329 (target N/2 = 16)\n",
+ "maxlinkdim(P) = 12\n",
"\n",
"Interaction: on-site Hubbard U = 2.0\n"
]
@@ -209,7 +934,12 @@
],
"source": [
"# ── System ────────────────────────────────────────────────────────────────────\n",
- "# Reuse H1 from section 1 (L=5, N=32, 1D nearest-neighbour chain).\n",
+ "\n",
+ "L = 5\n",
+ "t = -1.0\n",
+ "\n",
+ "H1 = TensorBinding.get_Hamiltonian(\"chain_1d\", t; L=L, scale=scale_exc)\n",
+ "\n",
"# The density matrix is computed once via McWeeny purification and\n",
"# stored in H1._density_cache. Every call to get_bubble_mpo with\n",
"# P_method=:purification will find it there and skip recomputation.\n",
@@ -229,58 +959,34 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "id": "6f997278",
+ "id": "f6c3c099",
+ "source": "# ── RPA susceptibility via Wynn ε-acceleration ──────────────────────────────\nK_max = 6\nomegalist_rpa = range(-4.0, 4.0; length=80)\n\nchi_partial, chi_wynn = TensorBinding.get_rpa_susceptibility_wynn(H1, MPOV, omegalist_rpa;\n mode = :charge,\n K_max = K_max,\n verbose = false)\n\nn_wynn = K_max ÷ 2\nprintln(\"chi_partial: \", size(chi_partial), \" chi_wynn: \", size(chi_wynn))",
"metadata": {},
- "outputs": [],
- "source": [
- "q_axis = 0:nq-1\n",
- "ω_axis = collect(ωlist_rpa)\n",
- "\n",
- "# ── Panel 1: Π₀ vs best Wynn estimate ─────────────────────────────────────────\n",
- "# chi_partial[1,...] = partial sum at K=0, i.e. bare Π₀(q,ω)\n",
- "# chi_wynn[n_wynn,...] = highest Padé estimate, using K_max+1 terms total\n",
- "p_pi0 = heatmap(q_axis, ω_axis, chi_partial[1, :, :];\n",
- " title=\"Π₀(q,ω) [bare bubble]\",\n",
- " xlabel=\"q\", ylabel=\"ω\", color=:inferno)\n",
- "\n",
- "p_rpa = heatmap(q_axis, ω_axis, chi_wynn[n_wynn, :, :];\n",
- " title=\"χ_RPA(q,ω) [Wynn ε_$(2n_wynn), $(K_max+1) terms]\",\n",
- " xlabel=\"q\", ylabel=\"ω\", color=:inferno)\n",
- "\n",
- "display(plot(p_pi0, p_rpa; layout=(1, 2), size=(860, 360),\n",
- " plot_title=\"RPA susceptibility (U = $U_hub, N = $(H1.N))\"))\n",
- "\n",
- "# ── Panel 2: Convergence of partial sums vs Wynn estimates ────────────────────\n",
- "# Total spectral weight Σ_{q,ω} |−Im χ| at each approximation level\n",
- "spec_partial = [sum(abs.(chi_partial[k+1, :, :])) for k in 0:K_max]\n",
- "spec_wynn = [sum(abs.(chi_wynn[m, :, :])) for m in 1:n_wynn]\n",
- "\n",
- "p_conv = plot(0:K_max, spec_partial;\n",
- " label=\"Partial sum K\", lw=2, marker=:circle, color=:crimson,\n",
- " xlabel=\"Order K (number of terms = K+1)\",\n",
- " ylabel=\"Σ_{q,ω} |−Im χ|\",\n",
- " title=\"Convergence: Neumann series vs Wynn ε-acceleration\")\n",
- "\n",
- "for m in 1:n_wynn\n",
- " scatter!(p_conv, [2m], [spec_wynn[m]];\n",
- " label=\"Wynn ε_$(2m) ($(2m+1) terms)\",\n",
- " markersize=9, markershape=:star5)\n",
- "end\n",
- "\n",
- "hline!(p_conv, [spec_wynn[end]]; lw=1, ls=:dot, color=:gray,\n",
- " label=\"Wynn ε_$(2n_wynn) (best estimate)\")\n",
- "\n",
- "display(plot(p_conv; size=(680, 400)))"
- ]
+ "execution_count": null,
+ "outputs": []
},
{
"cell_type": "code",
"execution_count": null,
- "id": "b7771ce7",
+ "id": "6f997278",
"metadata": {},
"outputs": [],
- "source": []
+ "source": "nq = H1.N\nq_axis = 0:nq-1\nomega_axis = collect(omegalist_rpa)\n\n# ── Panel 1: Π₀ vs best Wynn estimate ─────────────────────────────────────────\n# chi_partial[1,...] = partial sum at K=0, i.e. bare Π₀(q,ω)\n# chi_wynn[n_wynn,...] = highest Padé estimate, using K_max+1 terms total\np_pi0 = heatmap(q_axis, omega_axis, chi_partial[1, :, :];\n title=\"Π₀(q,ω) [bare bubble]\",\n xlabel=\"q\", ylabel=\"ω\", color=:inferno)\n\np_rpa = heatmap(q_axis, omega_axis, chi_wynn[n_wynn, :, :];\n title=\"χ_RPA(q,ω) [Wynn ε_$(2n_wynn), $(K_max+1) terms]\",\n xlabel=\"q\", ylabel=\"ω\", color=:inferno)\n\ndisplay(plot(p_pi0, p_rpa; layout=(1, 2), size=(860, 360),\n plot_title=\"RPA susceptibility (U = $U_hub, N = $(H1.N))\"))\n\n# ── Panel 2: Convergence of partial sums vs Wynn estimates ────────────────────\n# Total spectral weight Σ_{q,ω} |−Im χ| at each approximation level\nspec_partial = [sum(abs.(chi_partial[k+1, :, :])) for k in 0:K_max]\nspec_wynn = [sum(abs.(chi_wynn[m, :, :])) for m in 1:n_wynn]\n\np_conv = plot(0:K_max, spec_partial;\n label=\"Partial sum K\", lw=2, marker=:circle, color=:crimson,\n xlabel=\"Order K (number of terms = K+1)\",\n ylabel=\"Σ_{q,ω} |−Im χ|\",\n title=\"Convergence: Neumann series vs Wynn ε-acceleration\")\n\nfor m in 1:n_wynn\n scatter!(p_conv, [2m], [spec_wynn[m]];\n label=\"Wynn ε_$(2m) ($(2m+1) terms)\",\n markersize=9, markershape=:star5)\nend\n\nhline!(p_conv, [spec_wynn[end]]; lw=1, ls=:dot, color=:gray,\n label=\"Wynn ε_$(2n_wynn) (best estimate)\")\n\ndisplay(plot(p_conv; size=(680, 400)))"
}
- ]
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Julia 1.12",
+ "language": "julia",
+ "name": "julia-1.12"
+ },
+ "language_info": {
+ "file_extension": ".jl",
+ "mimetype": "application/julia",
+ "name": "julia",
+ "version": "1.12.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
}
\ No newline at end of file
diff --git a/examples/manybody/nonhermitian_loss_chain.ipynb b/examples/manybody/nonhermitian_loss_chain.ipynb
index c2c3650..a7e46e6 100644
--- a/examples/manybody/nonhermitian_loss_chain.ipynb
+++ b/examples/manybody/nonhermitian_loss_chain.ipynb
@@ -16,7 +16,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 1,
"id": "794ec812",
"metadata": {},
"outputs": [],
@@ -26,7 +26,7 @@
"using ITensors\n",
"using ITensorMPS\n",
"\n",
- "include(\"../src/TensorBinding.jl\")\n",
+ "include(\"../../src/TensorBinding.jl\")\n",
"using .TensorBinding"
]
},
@@ -42,10 +42,18 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 2,
"id": "e496bd95",
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "TBHamiltonian | L=3, N=8, scale=auto, maxlinkdim=3 | geometry: 8 sites, 1D | no Tn cache\n"
+ ]
+ }
+ ],
"source": [
"L = 3 # N = 2^L sites\n",
"t = 1.0\n",
@@ -72,9 +80,17 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 3,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "z = 0.0 + 0.15im, scale = 4.0\n"
+ ]
+ }
+ ],
"source": [
"z = 0.0 + 0.15im\n",
"scale = 4.0\n",
@@ -95,9 +111,18 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 4,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "NonHermitianHamiltonian | z=0.0 + 0.15im, blockdim=2, hermitized maxlinkdim=4\n",
+ "TBHamiltonian | L=3, N=8, scale=4.0, maxlinkdim=4 | geometry: 8 sites, 1D | no Tn cache\n"
+ ]
+ }
+ ],
"source": [
"NH = TensorBinding.hermitize(H; z=z, scale=scale, maxdim=maxdim,\n",
" convention=:z_minus_H)\n",
@@ -108,14 +133,415 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 6,
"id": "9bdf9423",
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0.6499999999999997\n",
+ "-0.6500000000000004\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "image/svg+xml": [
+ "\n",
+ "\n"
+ ],
+ "text/html": [
+ "
"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"#check the proper hermitrized Hamiltonian\n",
"hermitized_mpo = NH.hermitized\n",
- "M = TensorBinding.get_matrix(hermitized_mpo.mpo, hermitrized_mpo.sites)\n",
+ "M = TensorBinding.get_matrix(hermitized_mpo.mpo, hermitized_mpo.sites)\n",
"println(maximum(imag.(M)))\n",
"println(minimum(imag.(M)))\n",
"heatmap(imag.(M),yflip=true)"
@@ -132,9 +558,18 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 10,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "total spectral weight at z = -2.309436793446442 + 8.079261817456338e-15im\n",
+ "computed 40 partial moments\n"
+ ]
+ }
+ ],
"source": [
"A_mps, dos_point, partials = TensorBinding.nh_spectral_function(\n",
" NH, Ncheb_half;\n",
@@ -148,19 +583,95 @@
"println(\"total spectral weight at z = \", dos_point)\n",
"println(\"computed \", length(partials), \" partial moments\")"
]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "658989aa",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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M8OdKqtnlCtbRE99LQEoiHBGWl5d//fXX7777rpeX19ixY+Pj47/88ssGz1m0aNGQIUP8/PyGDh06fPjwX3/91f73BWgFBCfkAyEKkAkRZoScnBxCyH333Wf5a9++fS9cuNDUkysrK9PT0wcMGGD/+wK0wg4EJ+QEIQqQA2s7RLt27SosLGzwYEREREJCQllZmZeXV92D3t7ely9fbvRFGGMvvvhinz59xo0b19QbFRcXh4WF1f310Ucf/de//mXlINWkoqJC6iGo0JkbnI64duBul5eL/+Imk4lSWltbK/5Lq9eDPtz0QteSG1VuOmkGgB1Ncaqrq/V6vV5vbfFyd3d3cXFp/jnWvtbJkyfPnj3b4MH+/fsnJCS0b9++vN68cvPmzQYnCOu8+uqrly5d2rFjRzNvFBAQkJaWFhoaauXAVKz+1wsQxf4sOjaSOegXaymEbm5ujnhxtfIiJNrXfKrK85EQyQ7TsaMpi4uLi02F0BrWvtbrr7/e1I8iIiIopZmZmZ07dyaEnD17NjEx8d6nzZ0795dfftm9e7enp2frxgpgJ2M+ndNHokMPaIIlRPFICD4XkIwI5wi9vb0nTJiwZMmS2tran3/++Zdffpk8eTIh5Pz5888//7zlOfPmzfvXv/712WefXb9+PSsrq7i42P73BbDJLRM5XsKGBOMEobwgRAGSE+fo8qOPPnr22Wf9/PwCAgI2btwYFBRECCkvLz9y5IjlCQcOHNDr9ZMmTbL89Yknnli6dKkobw1gJQQn5AkhCpCcOLNChw4dtm3b1uDB2NjYkydPWv68f/9+Ud4IoNUQnJAnniOJofz2fDatOwohSAPzAmgFghOyhRAFSAuFEDThVBlzwYoTcjUqjN+LlShAOiiEoAnGPDYGK07IFVaiAGmhEIImGPMpThDKGVaiAAlhagD1Q3BC/hCiAAmhEIL67SqggzogOCFrdSEKqQcCWoRCCOpnzGNYiVfm6kIUUg8EtAizA6jf9nw2GsEJ2UOIAqSCQihTs465lFRLPQhVOF3G3HQITijAyDB+7xVaiytmxHC0hK04hV+ltVAI5eh0GfvH77rFx5GrEoExn40KQxVUAD830sOH++UqDgpF8Oph4b3jAqKZVkIhlKNvsumfooSvs+jvNzEp2GtbHh2NE4QKMSqMT83HcYy9tmTTChOJ8ee245dpHUwQcrQlm03tIrzaS/f2UWzHdkFwQllG4zSh3cyUvHOUrozXPRHFp2Tjl2kVFELZOVXGqgXSz5f+Ty/+12vsEG63YQcEJ5RlgD9XjBCFfdadpx09SWIo93gn/qc8Wo3uqBVQCGUnJZsmd+I4Qtx1ZGF//s0j2JBbD8EJZUGIwk4VJvLeCWFprI4QEuBO+rVHd9QqmCNkZ3M2S46687n8qStfYSLfX8am3Eo7CpgBV8ooCkIU9lhxShgZxsf43dnmk9EdtQ4KobycLGM1Ahngf2c75jmyNFb3Rjo1oxTa7lQZ03OkqzcKoZJgJYpWu1JF/vccXdT/j1n98U78tjx62yzhoJQBhVBeUrLopCiu/sw9KoyL8CSfX0QltBlWnFCi9m6kuw936BqOY2y24JgwrTsf4fnHNh/gTmL8uB0FmD1agEIoL1tyWHKnhh/KynjdwmNCuUmSESkYVpxQKEMYVqKw2fkbbOtlOruPrsHjyZ3QHW0ZpgkZsfRF+/s3PIjp254bFsKvPoOpwQYITigXThO2wux04a2+Ol+3ho9PRHfUCiiEMpKSRZ+4uy9aZ8lAfs0Z4eptZw9JuRCcUK6B/ty1apaLEIXV9l9lZ6+T6T0amc8t3dHt6I42C4VQRhrti1p09OSe7ca/ewyXEFgLwQnl4jkyAiEKqzFC3kwXlsXybg3bonckd+JTsvDLbA5mCrk4UcpqBRJzT1+0zrwY3ZYceu4GNmirIDihaIZwrNNrra8zqZmRSVFNTuaPd+KN+eiONgeFUC5SshteL9qAjyuZ3Uf3dgZaHC07XcZ0CE4o2YhQfm8hVqJoWS0l7xyly2N1zWzr/u6kP7qjzUIhlItvm+6L1pnRkz9VxnB7/hYZ89kYLECoZP7u5D4f7iDuL9iS/z1He/hwj4S0sLUnR6E72hwUQlk4XspqG7tetAFXnizsz89KF7BFN8+YR3GCUOkQomjRzVqy/KSwLLblTX1iJLqjzcFkIQuW60WteeaULryZkm+zMUE06ZaJHCthCQhOKBxCFC1aflJ4rCPf07flTd3fnQzw57DEVVNQCGVhc84f9xdtHkfIqnjdG+k4fdIkBCfUASGK5hVUss/O0/kx1s7hSNY3A4VQesdLmUBJ3X1yW5QQzHXzJp+dRyVsHIIT6oCVKJr39lH6cjQf1tbaeWNCJJ+K7mgTMF9Iz/q+aJ0Vcbolx4VbuOlaYxCcUA1DGEIUjTtVxlLz6Ov33FCtGZbuqBHd0cagEEovJdvavmid3u05Qzi/6hTy9Q0hOKEmI8MQomjcG+nCOzG6di62/V/ojjYFhVBix0oYZTb0RessHsD/7zmaV4nN+i4ITqiJJURxCCGKu+29wrLLyQvdbZ69J0Tyxjxaie7oPVAIJZaSTZ/s3JqJO7QtN607/+4xfFu+C4ITKoMQRQOUkdlpwrJY3sX2zdzfncQFYM36RmDKkNjm7JZz9E2Z20/3Ux49cx3fl+8oR3BCdQzh3DaEKOr5MpPqeZIU2cpJA93RRqEQSulYCWOE9LO9L2rh5ULm9NHNPYIzhXfsKqAPIDihLghR1FdLycKjdFVcczdUa14SuqONQSGUUkq2zdeLNvBSNH/+BtldiGmCEEKM+Qwr8aoMQhT1fXyG9vPjHgpq/aRh6Y6mott8N8waUrKnL2rhwpMlA/m5R3DTNUII2Z7PDLhSRnUQorC4XkNWnRaWDLR30kZ39F4ohJI5WsJ4rvV90TqTong9R77O1PpXPEtwohuCE6qDEIXFeyeExzvxPXzs3cIndOJT89EdvQsKoWRSsmlyJxFmbY6Q5XG6tzJojbbPFSI4oVb+7qSbt9ZDFDnlbOPv9J0YGxL0TfFzI/Hojt4NhVAyW2zP0TdlcBDXy5f79DdNb9kITqiYIZzTeIji7aN0Rk9dUBtxXi05Ct3Ru2DikIalL9q3vWhHMCvi+KUnhLIasV5PYRCcUDdDGK/l04QnStnPV9jM3qJN10mR6I7eBYVQGpb16EV8we4+XFIkv1KrN11DcELdYgO4otvaDVHMThcWxPBtxdu8Ld1RjR9k14dCKA37rxe91+IBug0XqDYnCwQn1E3LIYpteSy/kjzbTeTNG93R+jB3SCCjhOk40ke8vqhFYBvyYg9+/lEtfstDcEL1tBmioIzMyxBWxPF6safqiZH8DnRH/wuFUAIpWSL3RevM7qPbWcCOlWhrvjhzHcEJ9dNmiOKL32k7FzI2QvyJ2teNxAeiO3oHCqEEtuSI3xe18HQh8/rxb2Vo60zhtjwEJ9RPgyGK22ay6BhdHidCZKJRSNbXQSF0tiPFDumL1pnWnc+tIDsLNLR9IzihEVoLUaw+Qx8I5B4IdNRcMQHd0f/C9OFs9t9ftHl6niwZyM9OE6g2SiGCE9qhqRBFSTVZfUaEG6o1w9eN3B/IbdPSd4umoBA627cO64vWmRDJe7qQL7Vx0zUEJ7RDUyGKxceFKV34Lu0c+w0vOYpPydLE77N5KIROdaSY6TnS22F90TofxOvmHaG3NdD0QHBCO3iODA/hd2ig7Z9dzv6VSd/q66izg3WSOvI7C9AdRSF0LtFz9E2JD+RiA7i/nVP/QSGCE5piCOeMGlin980j9PXeukCRbqjWDEt39Kdc9U8UzUMhdKotDsjRN2VZLL/ylFCq6puuITihNaPC+D1qD1GkF7NDRWxGTydNFEjWExRCZ0ovZi68M/qiFt28ueQoftkJNUcpjHlsNA4HtUQLIYq5R4TFA3innfaeEMnvKqAVJie9nTyhEDpPSpZjrxe918L+uo2/08xbqp01EJzQIHWHKLZepsXV5P90dd5W7eNKHuig9WtHMYk4z7c5oq27ZKUAdzKjp27BMXVu4uUmklHChgThiFBbVByiEBiZl0FXxOl0zt2okaxHIXQSS1+0l6+zZ+1ZvfkDV9lRNd50bVcBHdSB83SRehzgXCoOUay/QAPcyagwZ88SSZrvjqIQOklKFn2yswTHLm305O1+/Kw0FZ4pRHBCm9Qaoqg0k3eP0VXxDo9M3MvSHf1Jw91RzCPOwAjZ7PgcfVOm3scXV5NtqrvoHMEJzVJliGLVKfpICDfAX5pNWuPdURRCZ0i/xtx1pKfT+6IWOo4si+VnpQlmFX3hQ3BCyywhCpOKtudrt8nfzgmLBkg2ISdF8rs13B1FIXQGR99ftEVjI/hgD7LpknpmDgQntMzfnXRVV4hi4THhz135KC/JNmkfVzJIw91RFEKHY45Zj95Wy2N184/SKrXcSwnBCY0zhHHGfJXM2hdvss3Z9M1+EpwdrE/L3VFMJQ6Xdo210UvWF60TG8A91IH76Iwa5o4KEzmK4IS2GcJ51ZwmfPMIndNX5+cm8TDGR/I782m5JrujKIQOJ3lftM6yWH71GaHottTjsNuuQnp/IIITmhYXwF1VRYji12vseCn7a7T0U7GPK3koSKP3HZX+t69ujJAt2WySc3P0TenkxU3pwi9V/k3XjHkMfVGNU02IYlaasGQA7yZxW/QOzXZHMZs4lqUvGu0jiyNCQsiCGN3XWfT3m8re1hGcAKKKEMXmbFphIk91lss8PD6S311Ib2mvOyqXD0CtUrLpk/I4HLTwdSOv9dK9fVTB3Y8z1xnPkfsQnNA8pYcozJTMP0pXxet42WzLPq7koQ7cNu11R2U0R6uPpS+aLI8ThHVe68X/eo0p99JzBCfAQukhir+fp5FeZHiovDZmba7KhELoQL9eY54uMuqLWrjryKL+/JtHlHqmEMEJqKPcEEWFiSw9Ibw3UB7nBusZ15HfVaC57igmFAdKyaKSxwcb9UxXvsJEvr+svBkEwQmoT7khivdPCaPC+Bg/2W3JPq5kcLDmrh2V4zStDuzOukuy29AJITxHlsbq3kinirvpGoITUF9cAHeliuVVKqwWFlaxT8/Rhf1lOv1q8NpRmX4SKvDrNeYlv75onVFhXIQn2XBRYZUQwQmoj+fI8FB+h9KWJ1xwlE7rzkd4ynRyeKwjv1tj3VHR5pT09PRNmzadOHGi0Z9euXLlxx9/3Lhx4549eyhV2OTbOilZ1MnL8NpqZbxu4VFBWTeSQHACGjCEc8pap/f8DfZjLp3TV3ZnB+tYuqM/aqk7Ks5MvXDhwuTk5IMHDz766KMffvjhvU+YMmXKZ599duDAgddee+3++++vrKwU5X1lixGyJYcld5L1lN23PTc8lP/wtGI297MITsA9DGH87gIlhShmpwtz++m8XaUeR7OSO/EpWUr6emEnvf0vUVxcvGLFipMnT3bt2vX48eMJCQkvvPCCl5dX/efs2bPH8geTydS1a9fU1NSJEyfa/9aydbiIebuSHnLti9ZZMpAf8J35Lz34oDZSD8UKRhwOwj3qQhRDghWwbey/ys5eJ5uHybpXRAgZH8nPOGy6ZdK108b5eBE+j507d3bv3r1r166EkJiYmICAgH379jX1ZJPJZDKZ/Pz87H9fOUvJlun1og109OSe7ca/e0wZUQpjHsWS9HAvpYQoGCFvpgvLY+VyQ7VmtHMhg4N47XRHRTgiLCgoCA0NrftraGhoQUHBvU9bv3791q1bT5w4MWPGjISEhKZerbq6etOmTT4+Ppa/RkREjBgxwv5BOhMjZEs2+SmRmEytLzCWbwwijqopb/Qivf5Dpt9He3g74d1ar8JEMorJg/5mp/xWWsNkMlFKeR6l2tkSg8lLh8nifq2ZtZ22oxFCvs4mZkrGhwv2zAxOM6Ej+foSSY6Q3VBNJhNjjDFrO7c6na7FvdLaQnj//ffX1NQ0ePD1119/+umnBUGo/zZ6vd5sbmTVu1dnfqoAAB6pSURBVIceeig0NDQtLe3jjz9OSkrq1q1bo29kMplOnTrVtm3bur8Kguw+ieYdLua8XfmunnYNXBAE5/zDvXTkf6L5d46Sr4fI+tvfrkIuzp9rw1PZbg6CIFBKFbe5qkCMLyms4i+X0zAPm/9fp+1otZQsOK77JJ5SQRnn3kaHkNd+5a9XU7l1RwVB4DiO46zthFvz3dTaQrhhw4Z7r/YMDg62/Le4uLjuwaKiopCQkHtfoXv37t27dzcYDBcvXly/fv2KFSsafSMvL69Vq1bVP8RUnK0FwqQozt3drs3HZDK5u7uLNaTmzexLojebM264PCTjoPquq8KYjpy7u3yPt3Q6HaXUzU3qZeU0aUSYsK9Y/9x9Nm8eTtvRPj1De7VnoyJlVlWa5u5OBgcLO4v0U7rIbqfT6/V6vQjtzD9e0Mrn9ezZs6kfPfzww9OnTy8tLfXz88vPz8/MzBw0aBAhpLq62mQyNbhqhhBSUlISHR3d6hHLHCPkuxyWOkp2m04zXHmyqD8/K104/JhetpVwez6b2VtJv1VwJkM4t/Uye+4+qcfRhBu15P2Twu7RYs7dTpAcxaVksyldpB6H44kws0RFRU2cOHHs2LFr1qwZN27cc88916FDB0LIqlWrkpKSCCElJSVDhgxZuHDhqlWrHnvssbNnz06dOtX+95WnQ0XMRwnXizYwuQtvpuTbbJl2RxGcgOaNkneIYvlJYVxHvqevwjbg8R35fVfozVqpx+F44nzF/uKLL6ZNm1ZYWDhr1qw1a9ZYHhwzZszMmTMJIb6+vrNnz+Y47saNG+PGjTt//nyjvVN1UMr1og1whKyK172RTmtlOZUgOAHNC3AnXdpxh6/J8fRbQSVbf56+E6O8acHLhQwO1sS1o5z11944R1hYWFpamkLPETJCOn5l3m7Q2X9EWF5efm9X2dFGbzePDuf/Gi27PXbYNvP/9NI9GiHrWmi5ahTnCKWy4KhQS8myWNuiCU7Y0f68T+joSRYNkH1mojH/vEQ3Z7P/JMpo8NXV1aKfI5TdlKdoB68yXzfl9UXrvB+rW3JckNs9BivNJKOYJSghLg0SMoTz2+S3EsWpMrY9n77eR0aFxCbjtNEdRSEUk0L7onV6t+dGh/MrT8krALCrgMZjxQloSWwAV1jFCmS2EsUb6cL8/gq+P4uXCxkSzP+g9u6ogmdtuaGMbMlhj8v7/qItWjyA//QcldW6NlhxAqyh40hiKJ8qpxtw773CssvJ87aHOmQluROn+lWZlP0JycqhIubvRrorti9qEdqWm9adf/eYjL4Apuaz0bhSBqwgq5UoKCOz04TlsbyLwmfZxzry+9XeHVX4RyQnKdlyX3fJSnP76X7Ko2euy2JCQXACrCerEMWXmdSFJ+MjFT8naKE7qvgPSSYsfdGJkWqYr71cyJw+urlHZHGmEMEJsJ58QhTVAnkng66K16lj21V9dxSFUBwHi1iAu+L7onVeiubP3yC7C6Xf9LHiBNjEEM4Z86Q/dllzlg4M4B7soJIJQfXdUUwx4lD69aINuPBkyUB+dppAJS2FCE6ArQzhvFHqEMX1GvLBaWHxAPVMCF4uJCGY/1693VH1fFQSoox8m8MmqKIvWmdSFN9GT77JknLTR3ACbBUXwBVIHaJYckJI7sQrN0/cqOQoTsVr1qMQikBlfVELjpDlsbq3MmiNdOcKEZwAW0keosgpZxsv0rdjlJqgb8rYCH7fFXq94Vp8KoFZRgQq64vWeTiI692e+/Q3yQ4KU/OZIUxVXy/ACaQNUczLoK/20gW1ker9HcXLhTwSotprR1U4fTsZZWRLNpuo8Bx9U1bE8UtPCGVSfA20BCdUdpwNTiBhiOJEKdt3VbXrhSVHcSlyXaDGTur8wJzplyLWoY1qg273eXNJkfwKKW66huAEtI6EIYrZ6cLC/nxbhS07aK3HIvj9V5gqu6MohPZKyVJJjr4piwfoPr9AcyucPa0gOAGtJkmIYlsey68kf+6q2o3W04UMC1Vnd1S1n5lzWK4XfVxd14s2ENiGvNiDn3/UqVs/ghNgD+eHKCgj8zKElXE6varn1ORO6uyOqvpDc7wDV1mHNqSrSvuidWb30e0sYMdKnDezIDgB9nB+iOKL32k7FyLzJTPtNzaCP3BVhd1RFEK7qOb+os3zdCHz+vFvZTjvTCGCE2APHUeGh/LbC5xUCG+bycKjdHmc2iIT9/J0IY+EqDBZj7mm9Sgj3+WwZJVeL9rAtO58bgXZ6ayZBcEJsJMhjHNad/TDM/TBIO6BQE1sscmduBRJ77PhCCiErXfgKgvyIF3aaWLr1zvxpmvnbjAOwQmwjyGc3+WUEEVJNfnojKpuqNa8xzryB4uYJJEqx9HKh+cIas3RN2VCJO/pQr7MdPjUYszD4SDYy2khinePC0934TXyhZgQ0lavwmS9huZxcVn6okpfj95WH8Tr5h2ht82OfRdjHkWCEOznhBBFVjn7OovO66f+s4P1qa87ikLYSvu11BetEx/IxQVyfzvnwH2g0kyOFLOhwdgywV5OCFG8mU7/p5fO392hbyI7Y1XXHcV000pa64vWWTqQX3lKKHXYPoDgBIjF0SGK9GJ2+Bqb0VNz80BbPRkWyn9/WT0HhZr7CEVBGfmP9vqiFt28uUlR/NITjopSIDgBYnF0iOLNdGHxAN5DpTdUa57KkvWYcVpj/1UWrL2+aJ0F/XWbfqeZtxwyvyA4ASJyXIhi62VaWkP+j3pvqNa8sRH8IRV1RzX6KdpJs31RiwB3MqOnzhE3XUNwAsTloBCFwMi8DLoiTqfT6qbqoSfDQvmtaumOanc2bzXKyHc5VJt90TqzevO/FLEMsW+6huAEiCvAnXRux/0qdohi/QUa6E5GantbVVN3FIXQZvuuslAPrrNW+6IWbfTk7X78rDSRzxQiOAGiEz1EUWEi7x6jK+O1FZm419gI/rBauqMohDZT/bpLVpp6H19STbaJdwIGwQlwBEMYL+6C9atOC8NCuAH+Wv/G5qEnw9XSHcWkYxvKyH8u04mqXnfJSjqOLIvlZ6UJZpF2hN0FNA7BCRBbfCCXXylaiOLabfLJObpQMzdUa55quqP4OG3z8xX0Rf8wNoIP9iCbLomzJxjzGVbiBdGJG6JYcEx4thsf5YUZgBBCHlVLdxTzjm00su6S9ZbH6uYfpVVi3HQtNZ+NxglCcACxQhQXbrIt2fTNvlo/O1jH0h39j/K7o5jTbSAw8l0O+qJ3iQ3gHurAfXTG3j3h3A1GGYIT4BBihSjeTKdz+urau4kxJrVQx31HUQhtsO8Ki/BEX7ShZbH86jNC0W27XsSYx8bgcBAcQ5QQxa/X2Iky9tdozJl3eTSC//Uac9w9F50DH6oNNJ6jb0onL+7pLvbedA3BCXAo+0MUs9KEJQN4N7RF7+ahJ4nKv3YU07q1LH3RCeiLNmZ+jO7rLPr7zVZ+40ZwAhzNzhDF5mxaaSZPdcYm2ojkKMV3R/G5Wutn9EWb5utGXuulm5fRyp0BwQlwtPhALq+CFVa1phaaKHkrg66M0/HY+xszJlzx3VEUQmulZKEv2pzXevFpxexQUWsmGgQnwNHuhChadVC47jzt2o4MD0UZbJylO/qfHAUfFGL2sYpgydFr+/6izXPXkUX9+TePtOZM4Y58hhOE4GiG8NaEKMpNZOkJ4b2BODfYnOQoZSfrUQit8vMV1tGTQ4q2ec905StMxNbT5r/dYCZKeiA4AQ5mCON3Fdoconj/pGAI4/v5YftsjqU7Wlwt9ThaC4XQKri/qDV4jiyN1c1JpzbddG1bHns0ArMMOFxgGxLlZVuIorCK/f033FCtZR56MjJMwWvW4wNumaUv+jiuF7XCqDAuwpNsuGjD/oDgBDiNrSGK+UfpX3rw4W2xfbZM0fcdRSFs2d5CFunFRaIvap2V8bqFR4Vyk1VPRnACnMmmEMVvN9hPufSNPjg7aJXRSu6OYgJqGXL0Nunbnhseyn942qrvhghOgDPZFKKYnSbM7afzdnX0oFTCQ09GhSk1WY/5vQUCI1ux7pKNlsXyn5wTrlpx0zUEJ8CZrA9R7LvCzt0gf+mOjdMGyr3vKD7mFuxBX9R2YW25P3Xl3z3WcpQCwQlwMmtCFIyQWWnC8ljcUM02hnA+vViR3VEUwhagL9o682J0W3LouRvNzTgIToDzWROi+Hcm5TmCC8VtZbl2VInJenzSzTFTsvUyfRw5etv5uJI3+ujebvama8Y8NgbBCXCuwDakkxeX1nSIopaSd47S5XE6bJqtoNBrR1EIm7P3Covy4jp6Yo9ojVd68qfK2C9Xm5xxjPnUEIbfLTibIYwz5jc5WX9yjvby5YYGY8tsjTERfEYJu2bfomzOh0LYHPRF7eHKk0X9+dfThEYrYaWZpF9jQ0Pw6wVnM4TzTZ0mvFFL3j8pvDcQm2UruevISAVeO4rPu0mWvijuL2qPyV14gZEtjbVKLMEJLwQnwOnuD+RymwhRLDshjO/I9/TFXt96SuyOohA2aQ/6onbjCFkVr5uTTmvv2S8QnACpNBWiKKhk//ciXdAfl4raZXS48rqjmImahHWXRJEQzN3nQ/5xvmElRHACJNRoiOKtDPpSNB/sIcmI1MPSHf2PorqjmOgbZ6bk+1z0RcXxfqxuyXHhVr2briE4AdIaGcbvLLgrRHGqjO3IpzN743BQBIrrjqIQNm7PFdYZfVGR9G7PjQ7nV576I1+P4ARIK6gNiWp3V4hidpowv7+uHU5ai2F0OH9UUd1RFMLGYd0lcS0ewH96juZV3pl3EJwAydUPUey9wnIqyPP3YZcXh7uOjFJUdxQffCMsfdEJuL+oeELbctO68+8eowTBCZCHuhAFZXduqOaCTVI8yuqO4pNvxO5C9EXFN7efblseO3Od7SmksQEIToDELCGKK7fJPy9RV56Mj8RkKCaDorqj+OwbkZKNvqj4vFzInL783COCMY8ZwvHrBYnpODIslN9WoJt/lK6Kxw3VRGbpjn6nkO4o5qOGTJR8j/uLOsb0HvxvN8g/L2FJepCF0eHcOyf1A/y5BztggxSfglZlQiFsaE8h69KOC2+LHUN8rjxZOpD3d+eiEZwAGRgZxpsZtywW06BDGML5Y6XK6I5iC2gIfVGHmhTFHx2vl3oUAIQQEtSGXHyspps3vpY5hLuOGBTSHcWMfxcTxXr0DufrJvUIAP7Lx7Xl1eqh1ZKjlNEdRSG8y+5Cdp83F4HrRQEA7GYI448roTuKQngX3F8UAEAsbjpiCOe/lf2a9Zj0/2DpiyahLwoAIBJFJOtRCP+wq4B190FfFABANKPC+BOlrEje3VEUwj9gPXoAAHEpojuKef8OS45+AnL0AACikn+yHoXwjl0FrIcvcvQAACIbFcafKGNXqqQeR9PEKYR79uxJTEyMi4tbvHixIAhNPS0tLW3SpEn79u0T5U3Fhb4oAIAjuOnImHBZr8okwtSfm5s7fvz4Z5999h//+Me333774YcfNvq06urqF1988dChQzk5Ofa/qbhMlPyQixw9AIBDyLw7KkIh3LBhw8iRIydPntyvX7/33nvvk08+afRpixYteuKJJ0JDQ+1/R9HtLGDdfbhQ9EUBABxgpLy7oyIUwlOnTsXFxVn+HBcXd/ny5Zs3bzZ4zvHjx3fu3Dlz5kz7384R0BcFAHAcS3f0O7leO2rV7Y9v3rx54sSJex+PjY318PAoLi728fGxPOLr60sIKSoq8vb2rnua2WyeNm3aunXrXFxaXoy1tLT0gQce0Ol0lr8OGjRo3bp11gyy1UyU/HDZdW732ooKh76PbSorKzkOR6hKYjKZKKUmk0nqgYANsKM5zdhg/m8XdM9E2LuDVFdX6/V6vd7ae/e7u7u3+GSrXisnJ2fx4sX3Pr5hw4aOHTu2a9eusrLS8khFRQUhpK4uWixfvnzAgAFRUVHXr183m81VVVVVVVUeHh6Nvpevr+/XX3/doUMHy1+9vb09PT2tGWSrbctj0b5Ct0DHvoutGGOO/oeDuCyF0M0N9xRXEuxoTjOuC5mebrrFtw3xsOubh/6/xBoYsbIQ9u3bd9euXU39NDIy8vfff7f8+ffff/f09PT396//hN9++81oNH7zzTeEkPLy8tmzZ1+4cOGjjz5q9NV4no+IiHDmqUT0RQEAHM1NRx4N5/+Tw16Klt0huAgF4Omnn968eXNhYSEhZO3atZMnT+Z5nhCyfv36gwcPEkK+/PLLsv/q37//J5980lQVdD4TJT9cphORowcAcLDkKJned1SEQjho0KAXXnihZ8+eYWFhFy9erGuifvXVVxkZGQ2e7OXlJave0Y4C1tOXs/NQHQAAWjQyjD9dxgqrZLcGJMeYOGOqqqoqLy+vO7fXamFhYWlpaU5rjf55nzAwgPtrtOxao+Xl5V5eXlKPAmyAc4RKhB3NyZ75WYgP5F62Y8q19WIZa4hWADw8POyvgk5mouTHXDoBOXoAAKeQZ3dUdkdCzrQ9H31RAADnGRnGn5Ffd1TThTAlmyZHafo3AADgTK48GRPBf5eDQigPtZT8hL4oAIBzJXfi5dYd1W4h3JHPerVHXxQAwKlGhnFy645qtxAiRw8A4HwuPHk0gv9WTt1RjVYCS180CX1RAACnS47iZbUqk0YL4fZ8ir4oAIAkRoRyZ6/LqDuq0UKYksXQFwUAkISlO7olG4VQOjUC+TEPfVEAAMkkR8no2lEtFsIdBbQv+qIAANIZEcqdu84KKmVxUKjFQoi+KACAtFx4MrajXK4d1Vw9sPRFx6MvCgAgKfkk6zVXCLfn037oiwIASC0xlPvthiy6o5orhCnZDPcXBQCQ3J1rR2XQHdVWSagRyE95dHxHbf2rAQDkSSbdUW2VhNR82q89F+wh9TgAAICQxFDuvAy6o9oqhOiLAgDIhwtPxsqgO6qhqlAjkG3oiwIAyIkcuqMaqgqp+TTGD31RAAAZGR7K/Xad5UnaHdVQIUzJRo4eAEBeXHjyWEf+W0nvO6qVwlAjEGMeTYrUyr8XAEApJO+OaqUwGPNpPz+uQxupxwEAAHcbHspduMlyKyQ7KNRKIcT9RQEA5MmFJ49F8N9Jd+2oJmpDtUBS8+kE9EUBAGRJ2lWZNFEbLNeLBqIvCgAgS8NCpOyOaqIQpmQhRw8AIF8uPBkn3apM6i8P1QIx5tMk5OgBAGRMwmtH1V8ejHm0P/qiAADyNiyEu3RLmu6o+gsh7i8KACB/eunuO6ryCmG5XhR9UQAA+UvuxKdkSdAdVXmFMObRAf7oiwIAKMCwEC6znF12endU5YUQ9xcFAFAKPU8ei5Dg2lE1FwlLXxTrLgEAKEVylATdUTUXiW15dCD6ogAAyvFIsATdUTUXQvRFAQCUxdId3eLcVZlUWyeqBbI9n45DXxQAQFGcf99R1daJn3LRFwUAUJ5Hgrks53ZHVVsI0RcFAFAiPU/GdXRqd1SdpaLKTLbn0/FYdwkAQIGcfN9RdZYKYx6NC+AC3KUeBwAA2G6oc7uj6iyEuL8oAIByWbqjm53VHVVhtagyk1RcLwoAoGTO7I6qsFpsy6Px6IsCACjZIyFcTjnLKXfGQaEKCyH6ogAASqfjyLiOTlqVSW0Fw3K9KPqiAABK57TuqNoKxrY8en8g+qIAAIo31FndUbUVQuToAQDUQceR8R35zY7vjqqqZlSZyQ7k6AEA1MI5qzKpqmb8lEfvD+T83KQeBwAAiCEhmLtcwbIc3B1VVSFMycL1ogAA6mHpjjr6vqPqKRtVZrKzANeLAgCoihNWZVJP2fgxF31RAAC1SQjmcitY5i0HHhSqpxAiRw8AoD46jiRF8t868tpRlVSOKjPZVUDHoy8KAKA6jk7Wq6Ry/JhLH+jAtUdfFABAdYY4uDuqkkKIHD0AgFpZuqOOu++oGoqHpS+K60UBANQquZMDk/VqKB4/oC8KAKBqCcFcQZWjuqNqKIToiwIAqBtvSdY7pjuq+PpRZSa70RcFAFA7x913VPH144dcOgh9UQAAtRsSxBVUsaxy8V9Z8YUQfVEAAC3gOZIUyX+XK/6Er+wSYumLPoa+KACABiR34rdcFv9llV1Cvr9MH0RfFABAGwYHcVdvc5lid0eVXQgv3iJ/6qbsfwIAAFiJ58jTUfS3GyJfO6oX9+WcbH4MqiAAgIa8G8P0ek7c10QhAQAATUMhBAAATUMhBAAATROtEF67dm3Pnj0FBQWN/rS4uDjrv7Kzs8V6UxX7+OOPa2pqpB4F2CAtLW3Pnj1SjwJswBhbuXKl1KMA26Smpp44cULc1xSnEKakpERHR69cubJfv35r1qy59wlz5syJi4tLTExMTEwcM2aMKG+qbp988klZWZnUowAbHDhwYPfu3VKPAmxgMpnef/99qUcBttm+ffvhw4fFfU0RCqHJZHrttdc2bdpkNBr37Nnz1ltvNTqDz507NzMzMzMz89y5c/a/KQAAgChEKISHDh0ym80Gg4EQ0rt37x49emzbtu3ep1VUVJw7d66qqsr+dwQAABCLCDnCvLy8iIgIjrsT7OjYsWNubu69T9uwYcPmzZszMzNfffXVZcuWNfVqtbW1P/zwQ/v27S1/7dSp04ABA+wfpBJRSil11EKUIDrGGGMMH5mCWD4sfGTKYuuOxvMtH+9ZWwhfeOGF4uLiBg9OmDDhmWeeqa6udnV1rXvQzc3t9u3bDZ65atUqS227ePHigw8+GBcXl5SU1Ogb3bhx4/XXX68rqy4uLj4+PlYOUk1KSkoGDRpkzUcIMnHr1i1K6bfffiv1QMBajDGz2dy5c2epBwI2KCsrc3V1Xb16tZXPnzx58nvvvdf8c6wthE8++eS95a1Lly6EkKCgoNLS0roHS0pKHnzwwQbPrDvC69at29ixY3/55ZemCmFOTk51dbWVo1KxmpoaNzfcRFVJBEFgjOn1yr5bk9ZgR1Mcs9nMcZxOp7Py+cHBwS0+x9qddtiwYU39qH///tnZ2VeuXAkODq6pqUlLS2um80kIycrKGjlyZFM/DQkJsXJIAAAA9uMYE+HupX/+85/z8vJmzJjx5ZdflpSUWNJUX3zxxbp16yzXuT711FPDhw/38PAwGo1Go/HkyZMoeAAAIAe6hQsX2v8qBoOhtLR0+/bt0dHRH330kbu7OyHEbDb7+vrGx8cTQq5cuZKenn7+/PnOnTt//vnn1hyrAgAAOIE4R4QAAAAKhYsSAQBA03CFm+xkZGTs3LmztLQ0Ojp68uTJlj4zKMKuXbvy8vKeffZZqQcCVsnIyPjuu+9qa2vvv//+iRMnSj0caNlPP/104MABV1fXMWPGWM67iQJHhPJSVFSUlJRUWloaHh7++eefJyQkmEwmqQcFVjl//vyUKVNmzJgh9UDAKp9//vmoUaM4jgsJCdmxY4fUw4GWvf/++y+//HJkZGS7du1Gjhz5448/ivXKOEcoL4IgUEpdXFwIIZWVlYGBgXv27BHxiw84CKV06NChSUlJ77zzTnl5udTDgRaUlpZ27Nhx7969sbGxUo8FrBUXF/fiiy9aOi6zZ88uLi7+4osvRHllHBHKi06ns1RBQgil1Gw2e3p6SjsksMbHH38cExMzaNAgqQcCVtm3b19UVJSHh8fHH3/81Vdf1dbWSj0iaFl0dPTx48cJIWaz+dSpU7169RLrlVEI5WvmzJkjR47s2bOn1AOBFmRnZ69fv37x4sVSDwSslZ2dff369eeff76qqmrDhg0JCQlms1nqQUEL1q5dm5GRERkZGRoa6ufnN3PmTLFeGYVQpj744IP9+/d/9tlnUg8EWsAYmzZt2vLly728vKQeC1iL5/mioqKtW7fOnTt327Ztubm5qampUg8KWvDGG2/4+vp+//33W7duPXfu3CeffCLWK+OqUTn64IMP/vGPf/z8888dOnSQeizQgoKCgn379l2/fn3RokWVlZVVVVUDBw786quvunbtKvXQoEkhISH+/v6BgYGEEFdX165du16+fFnqQUFzBEFYv359RkZGnz59CCFz5sxZunTpK6+8IsqLoxDKzpo1a9auXbtv3z7cf0cRAgMD69bLPnv27Isvvrhu3bqwsDBpRwXNGzFiREVFRVZWVlRUVEVFxZkzZ+bPny/1oKA5Op3O19c3MzOzb9++hJDMzEx/f3+xXhxXjcrL5cuXO3XqFBERUfcZL1u2LDExUdpRgZXS09OHDRuGq0YV4YMPPlizZo3BYDhw4MCAAQM2bdok9YigBZ999tmcOXOSkpIqKip27ty5ZcuWoUOHivLKKITyUlNTc+bMmfqPREVF+fr6SjUesEllZeXFixdjYmKkHghY5ezZs6dPn+7SpcvAgQOlHgtYJTc3NyMjw9XV9YEHHvDz8xPrZVEIAQBA03DVKAAAaBoKIQAAaBoKIQAAaBoKIQAAaBoKIQAAaBoKIQAAaBoKIQAAaBoKIQAAaBoKIQAAaBoKIQAAaBoKIQAAaNr/B1KlP6tGf2qiAAAAAElFTkSuQmCC",
+ "image/svg+xml": [
+ "\n",
+ "\n"
+ ],
+ "text/html": [
+ "
"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "plot(ldos, label=\"LDOS\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "d4b1d899",
+ "metadata": {},
+ "outputs": [],
+ "source": []
}
],
"metadata": {
"kernelspec": {
- "display_name": "Julia 1.11.6",
+ "display_name": "Julia 1.12",
"language": "julia",
- "name": "julia-1.11"
+ "name": "julia-1.12"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
- "version": "1.11.6"
+ "version": "1.12.3"
}
},
"nbformat": 4,
diff --git a/examples/manybody/scf_examples.ipynb b/examples/manybody/scf_examples.ipynb
index cd72376..00ad31d 100644
--- a/examples/manybody/scf_examples.ipynb
+++ b/examples/manybody/scf_examples.ipynb
@@ -15,7 +15,7 @@
},
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": null,
"id": "a002",
"metadata": {},
"outputs": [],
@@ -25,7 +25,7 @@
"using ITensors\n",
"using ITensorMPS\n",
"\n",
- "include(\"../src/TensorBinding.jl\")\n",
+ "include(\"../../src/TensorBinding.jl\")\n",
"using .TensorBinding"
]
},
diff --git a/examples/misc/miscellaneous.ipynb b/examples/misc/miscellaneous.ipynb
index f88e815..64da1ce 100644
--- a/examples/misc/miscellaneous.ipynb
+++ b/examples/misc/miscellaneous.ipynb
@@ -16,7 +16,7 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": null,
"id": "misc_imports",
"metadata": {},
"outputs": [],
@@ -825,1662 +825,17 @@
" lw=2, ls=:dash)\n",
"vline!([0.0]; ls=:dot, color=:gray, alpha=0.6, label=\"ω = 0\")"
]
- },
- {
- "cell_type": "markdown",
- "id": "c66d9c65",
- "metadata": {},
- "source": [
- "---\n",
- "## 5. QPI — 1D chain scattering wavevector map\n",
- "\n",
- "A single on-site impurity scatters quasiparticles between time-reversed Fermi\n",
- "points. In 1D the backscattering wavevector $q = 2k_F(\\omega)$ follows the\n",
- "dispersion $\\varepsilon(k) = -2t\\cos(ka)$ exactly, so the QPI map\n",
- "$|\\delta\\tilde{A}(q,\\omega)|^2$ should trace two symmetric arcs in $(q,\\omega)$\n",
- "space that touch $q = \\pi$ at $\\omega = 0$ and fan out to $q \\to 0, 2\\pi$ at\n",
- "the band edges.\n",
- "\n",
- "A smooth disk window (via `sdf_interval` + logistic sigmoid, same machinery as\n",
- "`mask_hamiltonian`) is applied to $\\delta A(r,\\omega)$ before the QFT to\n",
- "suppress open-boundary ringing.\n",
- "\n",
- "**Impurity MPO check:** before the main run a small $L=3$, $N=8$ system verifies\n",
- "that `_impurity_mpo` places $V$ exactly at site $x_0$ and is zero elsewhere."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 25,
- "id": "096321ee",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Impurity MPO check (L=3, N=8, x0=4, V=0.1)\n",
- "Diagonal entries : [0.0, 0.0, 0.0, 0.1, 0.0, 0.0, 0.0, 0.0]\n",
- "Expected : all zeros except index 4 → 0.1\n",
- "Max off-diagonal : 0.0\n",
- "Impurity MPO: OK\n",
- "\n",
- "TBHamiltonian | L=8, N=256, scale=2.0, maxlinkdim=3 | geometry: 256 sites, 1D | no Tn cache\n",
- "QPI: impurity at site 128 / 256, V = 2.0, Ncheb = 80\n",
- "KPM_Tn: estimating spectral bounds via DMRG…\n",
- " E_min = -1.9974, E_max = 2.8284\n",
- " center = 0.4155, scale = 2.6542\n",
- "QPI: online KPM clean…\n",
- " QPI clean 10/80 maxlinkdim=4\n",
- " QPI clean 20/80 maxlinkdim=4\n",
- " QPI clean 30/80 maxlinkdim=4\n",
- " QPI clean 40/80 maxlinkdim=4\n",
- " QPI clean 50/80 maxlinkdim=4\n",
- " QPI clean 60/80 maxlinkdim=4\n",
- " QPI clean 70/80 maxlinkdim=4\n",
- " QPI clean 80/80 maxlinkdim=4\n",
- "QPI: online KPM impurity…\n",
- " QPI imp 10/80 maxlinkdim=12\n",
- " QPI imp 20/80 maxlinkdim=17\n",
- " QPI imp 30/80 maxlinkdim=25\n",
- " QPI imp 40/80 maxlinkdim=34\n",
- " QPI imp 50/80 maxlinkdim=44\n",
- " QPI imp 60/80 maxlinkdim=50\n",
- " QPI imp 70/80 maxlinkdim=52\n",
- " QPI imp 80/80 maxlinkdim=52\n",
- "QPI: building spatial window (fraction=0.6, σ=1.5)…\n",
- "QPI: processed 10 / 100 energies\n",
- "QPI: processed 20 / 100 energies\n",
- "QPI: processed 30 / 100 energies\n",
- "QPI: processed 40 / 100 energies\n",
- "QPI: processed 50 / 100 energies\n",
- "QPI: processed 60 / 100 energies\n",
- "QPI: processed 70 / 100 energies\n",
- "QPI: processed 80 / 100 energies\n",
- "QPI: processed 90 / 100 energies\n"
- ]
- },
- {
- "data": {
- "image/png": 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",
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- "# ── Impurity MPO sanity check (L=3, N=8) ─────────────────────────────────────\n",
- "# Build the impurity MPO directly and inspect its 8×8 dense matrix.\n",
- "# Expected: V on the diagonal at row/col x0 (0-indexed), zeros everywhere else.\n",
- "L_chk = 3; x0_chk = 4; V_chk = 0.1\n",
- "H_chk = TensorBinding.get_Hamiltonian(\"chain_1d\", 1.0; L=L_chk, scale=4.0)\n",
- "imp_chk = TensorBinding._impurity_mpo(x0_chk, L_chk, H_chk.sites, V_chk)\n",
- "mat_chk = TensorBinding.get_matrix(imp_chk, H_chk.sites)\n",
- "diag_chk = real.(diag(mat_chk))\n",
- "max_od = maximum(abs.(mat_chk .- Diagonal(diag(mat_chk))))\n",
- "\n",
- "println(\"Impurity MPO check (L=$L_chk, N=$(2^L_chk), x0=$x0_chk, V=$V_chk)\")\n",
- "println(\"Diagonal entries : \", round.(diag_chk; digits=8))\n",
- "println(\"Expected : all zeros except index $x0_chk → $V_chk\")\n",
- "println(\"Max off-diagonal : \", max_od)\n",
- "@assert abs(diag_chk[x0_chk] - V_chk) < 1e-10 \"diagonal at x0 wrong\"\n",
- "@assert maximum(abs.(diag_chk[setdiff(1:2^L_chk, [x0_chk])])) < 1e-10 \"unwanted diagonal leak\"\n",
- "@assert max_od < 1e-10 \"off-diagonal leak\"\n",
- "println(\"Impurity MPO: OK\")\n",
- "\n",
- "# ── 1D chain Hamiltonian ──────────────────────────────────────────────────────\n",
- "L_fs = 8 # N = 64 sites\n",
- "H_fs = TensorBinding.get_Hamiltonian(\"chain_1d\", 1.0; L=L_fs, bc = :periodic, scale=2.0)\n",
- "println(\"\\n\", H_fs)\n",
- "\n",
- "# ── QPI sweep ─────────────────────────────────────────────────────────────────\n",
- "# ε(k) = -2t cos(2πk/N), bandwidth [-2, 2]. Stay 10% inside to avoid band edge.\n",
- "Ncheb_fs = 80\n",
- "ω_fs = range(-2.0, 2.0; length=100)\n",
- "\n",
- "qpi_fs = TensorBinding.get_qpi(H_fs, Ncheb_fs, ω_fs;\n",
- " V = 2.0,\n",
- " window_fraction = 0.6,\n",
- " window_sigma = 1.5,\n",
- " maxdim = 60,\n",
- " cutoff = 1e-6,\n",
- " verbose = true)\n",
- "\n",
- "# ── QPI heatmap: q vs ω ───────────────────────────────────────────────────────\n",
- "# Circshift by N/2 so Γ (q=0) sits in the centre; LSB-first k → physical q = k·2π/N\n",
- "N_fs = H_fs.N\n",
- "qpi_plot = circshift(qpi_fs, (0, N_fs ÷ 2)) .* N_fs\n",
- "q_ax = ((-(N_fs÷2)):(N_fs÷2 - 1)) ./ N_fs .* 2π # [-π, π)\n",
- "\n",
- "heatmap(q_ax, collect(ω_fs), qpi_plot;\n",
- " xlabel = \"q\",\n",
- " ylabel = \"ω / t\",\n",
- " title = \"QPI — 1D chain (N=$N_fs, V=2.0, bulk window)\",\n",
- " color = :inferno,\n",
- " xticks = ([-π, -π/2, 0, π/2, π], [\"-π\", \"-π/2\", \"0\", \"π/2\", \"π\"]),\n",
- " size = (600, 420))"
- ]
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- "---\n",
- "## 6. QPI — 2D square lattice\n",
- "\n",
- "The square lattice dispersion $\\varepsilon(\\mathbf{k}) = -2t(\\cos k_x + \\cos k_y)$\n",
- "has bandwidth $[-4t,\\, 4t]$. At half-filling ($\\omega = 0$) the Fermi surface\n",
- "is a diamond rotated 45°, with perfect nesting along $\\mathbf{q} = (\\pi,0)$,\n",
- "$(0,\\pi)$, and $(\\pi,\\pi)$.\n",
- "\n",
- "The impurity response\n",
- "$\\delta A(\\mathbf{r},\\omega) = A_\\mathrm{imp}(\\mathbf{r},\\omega) - A_\\mathrm{clean}(\\mathbf{r},\\omega)$\n",
- "is Fourier-transformed with the forward QFT MPO and the QPI pattern\n",
- "$|\\delta\\tilde{A}(\\mathbf{q},\\omega)|^2$ is displayed for representative energies.\n",
- "A circular apodization window (`window_fraction=0.7`) suppresses open-boundary\n",
- "ringing before the transform."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "id": "b765b018",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "TBHamiltonian | L=10, N=1024, scale=4.4, maxlinkdim=4 | geometry: 1024 sites, 2D | no Tn cache\n",
- "QPI: impurity at site 496 / 1024, V=2.0, mode=:delta, Ncheb=100\n",
- "KPM_Tn: estimating spectral bounds via DMRG…\n",
- " E_min = -3.9784, E_max = 4.0575\n",
- " center = 0.0395, scale = 4.4197\n",
- "QPI: online KPM clean…\n",
- " QPI clean 10/100 maxlinkdim=30\n",
- " QPI clean 20/100 maxlinkdim=40\n",
- " QPI clean 30/100 maxlinkdim=50\n",
- " QPI clean 40/100 maxlinkdim=54\n",
- " QPI clean 50/100 maxlinkdim=62\n",
- " QPI clean 60/100 maxlinkdim=65\n",
- " QPI clean 70/100 maxlinkdim=67\n",
- " QPI clean 80/100 maxlinkdim=67\n",
- " QPI clean 90/100 maxlinkdim=70\n",
- " QPI clean 100/100 maxlinkdim=76\n",
- "QPI: online KPM impurity…\n",
- " QPI imp 10/100 maxlinkdim=63\n",
- " QPI imp 20/100 maxlinkdim=100\n",
- " QPI imp 30/100 maxlinkdim=100\n",
- " QPI imp 40/100 maxlinkdim=100\n",
- " QPI imp 50/100 maxlinkdim=100\n",
- " QPI imp 60/100 maxlinkdim=100\n",
- " QPI imp 70/100 maxlinkdim=100\n",
- " QPI imp 80/100 maxlinkdim=100\n",
- " QPI imp 90/100 maxlinkdim=100\n",
- " QPI imp 100/100 maxlinkdim=100\n",
- "QPI: building spatial window (fraction=0.8, σ=1.5)…\n",
- "QPI: processed 10 / 80 energies\n",
- "QPI: processed 20 / 80 energies\n",
- "QPI: processed 30 / 80 energies\n",
- "QPI: processed 40 / 80 energies\n",
- "QPI: processed 50 / 80 energies\n",
- "QPI: processed 60 / 80 energies\n",
- "QPI: processed 70 / 80 energies\n",
- "QPI: processed 80 / 80 energies\n"
- ]
- },
- {
- "data": {
- "image/png": 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",
- "image/svg+xml": [
- "\n",
- "\n"
- ],
- "text/html": [
- "
"
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- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# ── Square lattice Hamiltonian ────────────────────────────────────────────────\n",
- "Lx_sq = 5; Ly_sq = 5 # 32×32 = 1024 sites\n",
- "L_sq = Lx_sq + Ly_sq\n",
- "t_sq = 1.0\n",
- "scale_sq = 4.0 * t_sq * 1.1 # analytic bandwidth × 10 % buffer\n",
- "\n",
- "H_sq = TensorBinding.get_Hamiltonian(\"square_2d\", t_sq;\n",
- " L=L_sq, Lx=Lx_sq, scale=scale_sq)\n",
- "println(H_sq)\n",
- "\n",
- "# ── QPI sweep (Gaussian impurity mode) ───────────────────────────────────────\n",
- "# A smooth Gaussian V·exp(-|r-r₀|²/2σ²) is built via add_onsite! rather than\n",
- "# the exact rank-1 projector. The smooth potential is compressible by QTCI and\n",
- "# yields a much lower-BD impurity MPO, keeping the KPM recursion manageable.\n",
- "Ncheb_sq = 100\n",
- "ω_sq = range(-3.6, 3.6; length=80)\n",
- "\n",
- "qpi_sq = TensorBinding.get_qpi(H_sq, Ncheb_sq, ω_sq;\n",
- " V = 2.0,\n",
- " window_fraction = 0.8,\n",
- " window_sigma = 1.5,\n",
- " maxdim = 100,\n",
- " cutoff = 1e-6,\n",
- " verbose = true)\n",
- "\n",
- "# ── Reshape and plot for representative energies ──────────────────────────────\n",
- "# qpi_sq[iω, k+1]: k = kx + Nx*ky (x varies fast, LSB-first)\n",
- "# reshape(row, Nx, Ny)' → matrix indexed [qy, qx] for heatmap\n",
- "Nx_sq = 2^Lx_sq; Ny_sq = 2^Ly_sq\n",
- "qx_ax = ((-(Nx_sq÷2)):(Nx_sq÷2 - 1)) ./ Nx_sq .* 2π\n",
- "qy_ax = ((-(Ny_sq÷2)):(Ny_sq÷2 - 1)) ./ Ny_sq .* 2π\n",
- "\n",
- "ω_targets = [0.0, -1.5, -3.0] # Fermi level, van Hove singularity, near band edge\n",
- "ω_arr = collect(ω_sq)\n",
- "\n",
- "ps = map(ω_targets) do ω_p\n",
- " iω = argmin(abs.(ω_arr .- ω_p))\n",
- " qpi_2d = reshape(qpi_sq[iω, :], Nx_sq, Ny_sq)'\n",
- " qpi_c = circshift(qpi_2d, (Ny_sq÷2, Nx_sq÷2))\n",
- " heatmap(qx_ax, qy_ax, sqrt.(qpi_c);\n",
- " xlabel=\"qx\", ylabel=\"qy\",\n",
- " title=\"ω ≈ $(round(ω_arr[iω]; digits=2))\",\n",
- " color=:inferno, aspect_ratio=1,\n",
- " xticks=([-π, 0, π], [\"-π\", \"0\", \"π\"]),\n",
- " yticks=([-π, 0, π], [\"-π\", \"0\", \"π\"]))\n",
- "end\n",
- "\n",
- "plot(ps...;\n",
- " layout = (1, length(ω_targets)),\n",
- " size = (300 * length(ω_targets), 300),\n",
- " plot_title = \"QPI — square lattice, Gaussian impurity (σ=1.5, N=$(H_sq.N), V=2.0)\")"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "id": "36af7ce1",
- "metadata": {},
- "outputs": [],
- "source": []
}
],
"metadata": {
"kernelspec": {
- "display_name": "Julia 1.12.4",
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"language": "julia",
- "name": "julia-1.12"
+ "name": "julia-1.10"
},
"language_info": {
- "file_extension": ".jl",
- "mimetype": "application/julia",
"name": "julia",
- "version": "1.12.4"
+ "version": "1.10.0"
}
},
"nbformat": 4,
diff --git a/examples/spectral/aux_ldos_examples.ipynb b/examples/spectral/aux_ldos_examples.ipynb
index b8fe6a0..0fbaf70 100644
--- a/examples/spectral/aux_ldos_examples.ipynb
+++ b/examples/spectral/aux_ldos_examples.ipynb
@@ -12,7 +12,7 @@
"using LaTeXStrings\n",
"using ITensors\n",
"using ITensorMPS\n",
- "include(\"../src/TensorBinding.jl\")\n",
+ "include(\"../../src/TensorBinding.jl\")\n",
"using .TensorBinding\n",
"using QuanticsTCI\n",
"import TensorCrossInterpolation as TCI"
@@ -12818,15 +12818,15 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Julia 1.11.6",
+ "display_name": "Julia 1.12",
"language": "julia",
- "name": "julia-1.11"
+ "name": "julia-1.12"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
- "version": "1.11.6"
+ "version": "1.12.3"
}
},
"nbformat": 4,
diff --git a/examples/spectral/momentum_spectral_functions.ipynb b/examples/spectral/momentum_spectral_functions.ipynb
index 4468b2b..e14e89f 100644
--- a/examples/spectral/momentum_spectral_functions.ipynb
+++ b/examples/spectral/momentum_spectral_functions.ipynb
@@ -16,7 +16,7 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": 1,
"id": "6919ba61",
"metadata": {},
"outputs": [],
@@ -26,7 +26,7 @@
"using LaTeXStrings\n",
"using ITensors\n",
"using ITensorMPS\n",
- "include(\"../src/TensorBinding.jl\")\n",
+ "include(\"../../src/TensorBinding.jl\")\n",
"using .TensorBinding\n",
"using QuanticsTCI\n",
"import TensorCrossInterpolation as TCI"
@@ -6932,9 +6932,9 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Julia (18 threads) 1.11.2",
+ "display_name": "Julia 1.12",
"language": "julia",
- "name": "julia-_18-threads_-1.11"
+ "name": "julia-1.12"
},
"language_info": {
"file_extension": ".jl",
diff --git a/examples/topology/real_space_topology.ipynb b/examples/topology/real_space_topology.ipynb
index 5b8e4cd..1a946f1 100644
--- a/examples/topology/real_space_topology.ipynb
+++ b/examples/topology/real_space_topology.ipynb
@@ -15,7 +15,7 @@
},
{
"cell_type": "code",
- "execution_count": 47,
+ "execution_count": 1,
"id": "top001",
"metadata": {},
"outputs": [],
@@ -25,7 +25,9 @@
"using ITensors\n",
"using ITensorMPS\n",
"include(\"../../src/TensorBinding.jl\")\n",
- "using .TensorBinding"
+ "using .TensorBinding\n",
+ "using QuanticsTCI\n",
+ "import TensorCrossInterpolation as TCI"
]
},
{
@@ -3578,7 +3580,7 @@
},
{
"cell_type": "code",
- "execution_count": 36,
+ "execution_count": 2,
"id": "27b1542b",
"metadata": {},
"outputs": [
@@ -3607,19 +3609,10 @@
},
{
"cell_type": "code",
- "execution_count": 34,
+ "execution_count": null,
"id": "12dbb990",
"metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Unique eigenvalues of V (rounded to 2 dp):\n",
- "[-0.92, -0.92, -0.84, -0.84, -0.8, -0.8, -0.75, -0.75, -0.68, -0.68, -0.63, -0.63, -0.62, -0.62, -0.58, -0.58, -0.5, -0.5, -0.48, -0.48, -0.45, -0.45, -0.43, -0.43, -0.38, -0.38, -0.34, -0.34, -0.31, -0.31, -0.29, -0.29, -0.26, -0.26, -0.25, -0.25, -0.21, -0.21, -0.17, -0.17, -0.16, -0.16, -0.14, -0.14, -0.14, -0.14, -0.11, -0.11, -0.1, -0.1, -0.08, -0.08, -0.04, -0.04, -0.03, -0.03, -0.0, -0.0, -0.0, -0.0, -0.0, -0.0, -0.0, -0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.03, 0.03, 0.04, 0.04, 0.08, 0.08, 0.1, 0.1, 0.11, 0.11, 0.14, 0.14, 0.14, 0.14, 0.16, 0.16, 0.17, 0.17, 0.21, 0.21, 0.25, 0.25, 0.26, 0.26, 0.29, 0.29, 0.31, 0.31, 0.34, 0.34, 0.38, 0.38, 0.43, 0.43, 0.45, 0.45, 0.48, 0.48, 0.5, 0.5, 0.58, 0.58, 0.62, 0.62, 0.63, 0.63, 0.68, 0.68, 0.75, 0.75, 0.8, 0.8, 0.84, 0.84, 0.92, 0.92]\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Sanity check: eigenvalues of the valley operator V\n",
"# For a valid valley operator the spectrum should be ±1 (or scaled versions).\n",
@@ -3632,7 +3625,7 @@
},
{
"cell_type": "code",
- "execution_count": 37,
+ "execution_count": 3,
"id": "8dd218f1",
"metadata": {},
"outputs": [
@@ -3642,20 +3635,18 @@
"text": [
"KPM_Tn: estimating spectral bounds via DMRG…\n",
" E_min = -2.9602, E_max = 2.9602\n",
- " center = -0.0, scale = 3.2562\n",
+ " center = 0.0, scale = 3.2562\n",
"Quenched operator products done\n",
"C1 done\n",
"C2 done\n",
"C3 done\n",
"C4 done\n",
- "PK wrapping done\n",
"K valley done\n",
"Quenched operator products done\n",
"C1 done\n",
"C2 done\n",
"C3 done\n",
"C4 done\n",
- "PK wrapping done\n",
"K′ valley done\n"
]
}
@@ -3665,17 +3656,17 @@
"\n",
"# Purified P is cached in H_sem._density_cache after the first call and reused.\n",
"C_K_at = TensorBinding.get_valley_C(H_sem; sequential=false,\n",
- " valley=:K, method=:mcweeny, maxdim=mdim_s, l=Lx_s, Λ=15, cutoff=1e-8, fermi=0.0)\n",
+ " valley=:K, method=:mcweeny, maxdim=mdim_s, l=Lx_s, Λ=15, cutoff=1e-8)\n",
"println(\"K valley done\")\n",
"\n",
"C_Kp_at = TensorBinding.get_valley_C(H_sem; sequential=false,\n",
- " valley=:K_prime, method=:mcweeny, maxdim=mdim_s, l=Lx_s, Λ=15, cutoff=1e-8, fermi=0.0)\n",
+ " valley=:K_prime, method=:mcweeny, maxdim=mdim_s, l=Lx_s, Λ=15, cutoff=1e-8)\n",
"println(\"K′ valley done\")"
]
},
{
"cell_type": "code",
- "execution_count": 39,
+ "execution_count": 5,
"id": "359d206a",
"metadata": {},
"outputs": [
@@ -3689,117 +3680,117 @@
},
{
"data": {
- "image/png": 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",
+ "image/png": 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",
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