diff --git a/docs/examples/DoS_Calculation.ipynb b/docs/examples/DoS_Calculation.ipynb deleted file mode 100644 index fb18ac5..0000000 --- a/docs/examples/DoS_Calculation.ipynb +++ /dev/null @@ -1,211 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "84a69e80", - "metadata": {}, - "source": [ - "# Density of States Calculation" - ] - }, - { - "cell_type": "markdown", - "id": "1b311241", - "metadata": {}, - "source": [ - "The **Density of States (DOS)** is a fundamental concept in condensed matter physics and materials science. It describes how many states are available within a specific energy range for particle to occupy. In essence, it quantifies the number of quantum states per unit energy interval at each energy level, giving insight into a material's electronic, optical, and thermal properties.\n", - "\n", - "Mathematically, the DOS $D(E)$ is defined as:\n", - "\n", - "$$\n", - "D(E) = \\frac{dN}{dE}\n", - "$$\n", - "\n", - "where $N(E)$ is the number of states with energy less than or equal to $E$.\n", - "\n", - "Direct computation of the DOS involves diagonalizing the system’s Hamiltonian, which has a computational complexity of $\\mathcal{O}(n^3)$, where $n$ is the system size. This becomes infeasible for large or complex systems, such as disordered materials or many-body interacting systems. To address this, we use the **Kernel Polynomial Method (KPM)** \\[1], an efficient and scalable technique for estimating the DOS. KPM reduces the problem to a **trace estimation**, which scales as $\\mathcal{O}(n)$ - $\\mathcal{O}(n^3)$, making it highly suitable for large sparse Hamiltonians.\n", - "\n", - "### The KPM Algorithm\n", - "\n", - "The core idea of KPM is to approximate the DOS using a series expansion in **Chebyshev polynomials**, which are numerically stable and well-suited for functions defined on the interval $[-1, 1]$. The method proceeds in the following steps:\n", - "\n", - "#### 1. **Rescale the Hamiltonian**\n", - "\n", - "Since Chebyshev polynomials are defined on $[-1, 1]$, the Hamiltonian $H$ must be linearly rescaled so that all its eigenvalues fall within this interval:\n", - "\n", - "$$\n", - "\\tilde{H} = \\frac{H - b}{a}\n", - "$$\n", - "\n", - "where $a$ and $b$ are determined based on the spectral bounds (minimum and maximum eigenvalues) of $H$.\n", - "\n", - "#### 2. **Expand DOS in Chebyshev Polynomials**\n", - "\n", - "The DOS is approximated by a finite sum over Chebyshev polynomials $T_n(E)$:\n", - "\n", - "$$\n", - "\\rho(E) \\approx \\frac{1}{\\pi \\sqrt{1 - E^2}} \\left[ \\mu_0 + 2 \\sum_{n=1}^{N-1} \\mu_n T_n(E) \\right]\n", - "$$\n", - "\n", - "where $\\mu_n$ are the **Chebyshev moments**, given by:\n", - "\n", - "$$\n", - "\\mu_n = \\text{Tr}[T_n(\\tilde{H})]\n", - "$$\n", - "\n", - "These moments encode how each polynomial contributes to reconstructing the DOS.\n", - "\n", - "#### 3. **Estimate the Trace Stochastically**\n", - "\n", - "Instead of computing the trace exactly (which can be costly), we approximate it using a small number of random vectors $|r\\rangle$:\n", - "\n", - "$$\n", - "\\mu_n \\approx \\frac{1}{R} \\sum_{r=1}^{R} \\langle r | T_n(\\tilde{H}) | r \\rangle\n", - "$$\n", - "\n", - "This is known as **stochastic trace estimation** (typically sclaes as $\\mathcal{O(n)}$), and it significantly reduces computational cost while maintaining accuracy for large matrices (as R is inversly proportional to the dimension of the Hamiltonian).\n", - "\n", - "#### 4. **Apply a Smoothing Kernel**\n", - "\n", - "To mitigate Gibbs oscillations caused by truncating the polynomial series, a smoothing kernel (such as the **Jackson kernel**) is applied to the coefficients:\n", - "\n", - "$$\n", - "\\mu_n \\rightarrow g_n \\mu_n\n", - "$$\n", - "\n", - "where $g_n$ are kernel weights that damp high-frequency components, leading to a smoother and more physically accurate approximation of the DOS.\n", - "\n", - "### Practical Usage with Kwant\n", - "\n", - "To demonstrate KPM in practice, we will use the excellent Python library **[Kwant](https://kwant-project.org/)** \\[2], which provides built-in functions for computing the DOS and related observables efficiently using methods like KPM." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "8c05eda4", - "metadata": {}, - "outputs": [], - "source": [ - "##import the necesaary libraries\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "##import the lattice types (triagle, square, hexagonal..etc)\n", - "from moirepy import BilayerMoireLattice, TriangularLayer, SquareLayer, KagomeLayer, HexagonalLayer" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "c0f80cce", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/jabed/miniconda3/envs/quant/lib/python3.10/site-packages/kwant/solvers/default.py:16: RuntimeWarning: MUMPS is not available, SciPy built-in solver will be used as a fallback. Performance can be very poor in this case.\n", - " warnings.warn(\"MUMPS is not available, \"\n" - ] - } - ], - "source": [ - "#import kwant for calculations\n", - "import kwant\n", - "#!pip install kwant" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "id": "08c0d867", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "twist angle = 0.1646 rad (9.4300 deg)\n", - "1332 points in lower lattice\n", - "1332 points in upper lattice\n" - ] - } - ], - "source": [ - "## Make the lattice (Lattice type, a(ll1), b(ll2), m(ul1), n(ul2), x_no, y_no)--- \n", - "## don't put fractional values for x_no and y_no, which are number of moire unit cells\n", - "lattice = BilayerMoireLattice(TriangularLayer, 3, 4, 4, 3, 6, 6)\n", - "## make the hamiltonian (tuu, tdd, tud, tdu, tdd, mu1, mu2)\n", - "ham = lattice.generate_hamiltonian(1, 1, 0.01, 0.01, 0, 0.0)" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "id": "8e328714", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "## estimate the spectral density of states\n", - "x = kwant.kpm.SpectralDensity(ham, params=None, operator=None, num_vectors=10, num_moments=100)\n", - "e, rho = x()\n", - "plt.plot(e, rho)\n", - "plt.xlabel('Energy')\n", - "plt.ylabel('Density of States')\n", - "plt.title('Spectral Density of States')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "44c85bea", - "metadata": {}, - "source": [ - "### Expectation value of Operator calculation using KPM" - ] - }, - { - "cell_type": "markdown", - "id": "9a5dc40e", - "metadata": {}, - "source": [ - "## References\n", - "1. Alexander Weibe, Gerhard Wellein, Andreas Alvermann and Holger Fehske, The kernel polynomial method, Reviews of Modern Physics, Volume 78, January 2006\n", - " \n", - "2. C. W. Groth, M. Wimmer, A. R. Akhmerov, X.Waintal, Kwant: a software package for quantum transport, New J. Phys. 16, 063065 (2014)." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "quant", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.10.18" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/docs/getting_started/custom_hoppings.ipynb b/docs/getting_started/custom_hoppings.ipynb index 1fd7dcd..a1bc65f 100644 --- a/docs/getting_started/custom_hoppings.ipynb +++ b/docs/getting_started/custom_hoppings.ipynb @@ -133,7 +133,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 93, "id": "743f7655", "metadata": {}, "outputs": [ @@ -180,7 +180,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 94, "id": "bbb795c0", "metadata": {}, "outputs": [], @@ -212,7 +212,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 95, "id": "b122847a", "metadata": {}, "outputs": [ @@ -253,25 +253,116 @@ }, { "cell_type": "markdown", - "id": "16217da9", + "id": "dcc9c37e", "metadata": {}, "source": [ - "## 7. Seeing the Effect: DOS vs Decay Length\n", + "## 7. Exploring Hopping: Study of Non-Hermitian Systems" + ] + }, + { + "cell_type": "markdown", + "id": "1f300ab1", + "metadata": {}, + "source": [ + "Non-Hermitian systems are unique because they break one of the fundamental postulates of quantum mechanics—that all operators are Hermitian, which ensures real spectra. These systems exhibit a rich variety of phenomena and have been the subject of extensive research in recent years. In this section, we will illustrate one quick example how to construct a Non-Hermitian Hamiltonian using MoirePy." + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "id": "f46100cc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "twist angle = 0.1052 rad (6.0256 deg)\n", + "181 cells in upper lattice\n", + "181 cells in lower lattice\n" + ] + } + ], + "source": [ + "## Designing custom lattice with open boundary conditions to show the effect of non-Hermiticity\n", + "params = {\n", + " \"latticetype\": SquareLayer,\n", + " \"ll1\": 9, \"ll2\": 10, \"ul1\": 10, \"ul2\": 9,\n", + " \"n1\": 1, \"n2\": 1\n", + "} \n", + "# 1. Open Boundary Conditions\n", + "lattice_obc = BilayerMoireLattice(**params, pbc=False)\n", + "lattice_obc.generate_connections(inter_layer_radius=1)\n", + "llat = np.array([[1, 0], [0, 1]]) # square lattice vectors for the lower layer\n", + "ulat = llat" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "id": "608c0c3e", + "metadata": {}, + "outputs": [], + "source": [ + "### custom hooping function for styding the Non Hermitian effects\n", + "def tuudd(this_coo, neigh_coo, llat, ulat, this_type, neigh_type):\n", + " gamma = 0.3 # anisotropy parameter\n", + " t0 = 1 # hopping parameter\n", + " theta = np.rad2deg(np.arctan2(neigh_coo[1] - this_coo[1], neigh_coo[0] - this_coo[0]))\n", + " return t0 + np.cos(np.deg2rad(theta)) * gamma \n", + "## this cosine term introduces anisotropy in the hopping based on the angle between the two sites\n", "\n", - "We compute the Density of States (DOS) for two values of `rc`. A short decay length means only the closest inter-layer pairs couple strongly. A longer one lets distant pairs contribute, which broadens the hybridisation features in the spectrum.\n" + "### lets contrcuct the hamiltonian with this new hopping function\n", + "ham = lattice_obc.generate_hamiltonian(\n", + " tll=tuudd, # float: same hop for every intra-lower bond\n", + " tuu=tuudd, # float: same hop for every intra-upper bond\n", + " tul=2, # callable\n", + " tlu=1, # callable \n", + " tlself=0.0, # float: zero on-site energy\n", + " tuself=0.0, # float: zero on-site energy\n", + ").toarray()" ] }, { "cell_type": "code", - "execution_count": 4, - "id": "c96c49b7", + "execution_count": 98, + "id": "e9353177", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Is the Hamiltonian Hermitian? False\n" + ] + } + ], + "source": [ + "## Chk if the Ham is Hermitian\n", + "print(\"Is the Hamiltonian Hermitian?\", np.allclose(ham, ham.conj().T))" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "id": "7c552261", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Eigenvalues of the Hamiltonian')" + ] + }, + "execution_count": 99, + "metadata": {}, + "output_type": "execute_result" + }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -279,48 +370,271 @@ } ], "source": [ - "def get_dos(rc):\n", - " ham = lattice.generate_hamiltonian(\n", - " tll=INTRA_T, tuu=INTRA_T,\n", - " tul=gaussian_inter, tlu=gaussian_inter,\n", - " extra_inputs={\"t0\": T0, \"rc\": rc},\n", - " ).toarray()\n", - " return np.linalg.eigvalsh(ham)\n", - "\n", - "fig, axes = plt.subplots(1, 2, figsize=(10, 4), sharey=True)\n", - "\n", - "for ax, rc, label in zip(\n", - " axes,\n", - " [0.4, 1.0],\n", - " [r\"Short range ($r_c = 0.4$)\", r\"Long range ($r_c = 1.0$)\"],\n", - "):\n", - " evals = get_dos(rc)\n", - " ax.hist(evals, bins=80, orientation=\"horizontal\", color=\"steelblue\", edgecolor=\"white\", linewidth=0.3)\n", - " ax.set_title(label)\n", - " ax.set_xlabel(\"Count\")\n", - " ax.axhline(0, color=\"gray\", lw=0.8, ls=\"--\")\n", - "\n", - "axes[0].set_ylabel(\"Energy (eV)\")\n", - "plt.suptitle(\"Density of States: effect of inter-layer decay length\")\n", - "plt.tight_layout()\n", + "##plot the eigenvalues\n", + "e, v = np.linalg.eig(ham)\n", + "plt.plot(e.real, e.imag, 'o', color='steelblue')\n", + "plt.xlabel('Real Part')\n", + "plt.ylabel('Imaginary Part')\n", + "plt.title('Eigenvalues of the Hamiltonian')" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "id": "794d06e1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## plot one eigenvector\n", + "plt.figure()\n", + "plt.plot(np.abs(v[6]), 'o-', color='steelblue')\n", + "plt.xlabel('Site Index')\n", + "plt.ylabel('Amplitude')\n", + "plt.title('Eigenvector corresponding to the 7th eigenvalue')\n", "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": 101, + "id": "6d6b31b3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## Lets plot the |eigenvectors| (amplitude of a given state) of the Hamiltonian for a specific eigenvalue----\n", + "N = lattice_obc.lower_lattice.points.shape[0]\n", + "R = 6\n", + "\n", + "plt.figure(figsize=(4, 4))\n", + "nx = lattice_obc.n1\n", + "ny = lattice_obc.n2\n", + "mlv1 = lattice_obc.mlv1\n", + "mlv2 = lattice_obc.mlv2\n", + "\n", + "# Draw large unit cell\n", + "plt.plot([0, nx*mlv1[0]], [0, nx*mlv1[1]], 'k', linewidth=1)\n", + "plt.plot([0, ny*mlv2[0]], [0, ny*mlv2[1]], 'k', linewidth=1)\n", + "plt.plot([nx*mlv1[0], nx*mlv1[0] + ny*mlv2[0]], \n", + " [nx*mlv1[1], nx*mlv1[1] + ny*mlv2[1]], 'k', linewidth=1)\n", + "plt.plot([ny*mlv2[0], nx*mlv1[0] + ny*mlv2[0]], \n", + " [ny*mlv2[1], nx*mlv1[1] + ny*mlv2[1]], 'k', linewidth=1)\n", + "\n", + "# Draw base unit cell\n", + "plt.plot([0, mlv1[0]], [0, mlv1[1]], 'k--', linewidth=1)\n", + "plt.plot([0, mlv2[0]], [0, mlv2[1]], 'k--', linewidth=1)\n", + "plt.plot([mlv1[0], mlv1[0] + mlv2[0]], \n", + " [mlv1[1], mlv1[1] + mlv2[1]], 'k--', linewidth=1)\n", + "plt.plot([mlv2[0], mlv1[0] + mlv2[0]], \n", + " [mlv2[1], mlv1[1] + mlv2[1]], 'k--', linewidth=1)\n", + "\n", + "# Plot upper and lower lattice points\n", + "sc1 = plt.scatter(lattice_obc.upper_lattice.points[:, 0], \n", + " lattice_obc.upper_lattice.points[:, 1],\n", + " c=np.abs(v[:N, R]), cmap='Reds', s=8, label='Upper')\n", + "sc2 = plt.scatter(lattice_obc.lower_lattice.points[:, 0], \n", + " lattice_obc.lower_lattice.points[:, 1],\n", + " c=np.abs(v[N:, R]), cmap='Reds', s=8, label='Lower')\n", + "\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", + "\n", + "# Colorbar\n", + "cbar = plt.colorbar(sc2)\n", + "cbar.set_label(r'$|\\psi|$', rotation=270, labelpad=20, fontsize=15)\n", + "\n", + "# Axis labels\n", + "plt.xlabel('x', fontsize=16)\n", + "plt.ylabel('y', fontsize=16)\n", + "\n", + "# Clean grid and layout\n", + "plt.grid(True, linestyle='--', linewidth=0.5, alpha=0.4)\n", + "plt.tight_layout()\n", + "\n", + "plt.show()\n" + ] + }, { "cell_type": "markdown", - "id": "b95e4940", + "id": "0986b4a8", "metadata": {}, "source": [ - "With `rc=0.4` the layers are nearly decoupled: the DOS looks like two weakly split copies of the monolayer spectrum. With `rc=1.0` more distant bonds contribute, the hybridisation is stronger, and the peak structure changes visibly. This is the direct fingerprint of the custom hopping function." + "In the eigenstate, we can see the pile up of the state (known as `Non-Hermitian Skin effect`). This example illustartes that you can use MoirePy to make a non-hermitian system and analyze such system. The more about this can be found **[here](examples.md)**." ] }, { "cell_type": "markdown", - "id": "e585b987", + "id": "2ca12769", "metadata": {}, "source": [ - "!!! note\n", - " `generate_hamiltonian` runs in $O(N)$ time once connections are established. You can call it repeatedly with different `rc` or `t0` values without rebuilding the lattice or re-running `generate_connections`." + "## 8. Moiré System with Multiple Orbitals" + ] + }, + { + "cell_type": "markdown", + "id": "e485ac3f", + "metadata": {}, + "source": [ + "We have explored so many phenomena with single orbital. Now, we will illustrate the Hamiltonian construction with multiple orbitals. " + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "id": "fffccdb4", + "metadata": {}, + "outputs": [], + "source": [ + "from moirepy import BilayerMoireLattice, TriangularLayer" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "id": "c17702a1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "twist angle = 0.3803 rad (21.7868 deg)\n", + "7 cells in upper lattice\n", + "7 cells in lower lattice\n" + ] + } + ], + "source": [ + "lattice = BilayerMoireLattice(\n", + " latticetype=TriangularLayer,\n", + " ll1=1, ll2=2,\n", + " ul1=2, ul2=1,\n", + " n1=1, n2=1,\n", + " k = 2,\n", + " pbc=True # for k-space \n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "f360106d", + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "float() argument must be a string or a real number, not 'list'", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mTypeError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[107]\u001b[39m\u001b[32m, line 2\u001b[39m\n\u001b[32m 1\u001b[39m lattice.generate_connections(inter_layer_radius=\u001b[32m1\u001b[39m)\n\u001b[32m----> \u001b[39m\u001b[32m2\u001b[39m real_ham = \u001b[43mlattice\u001b[49m\u001b[43m.\u001b[49m\u001b[43mgenerate_hamiltonian\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 3\u001b[39m \u001b[43m \u001b[49m\u001b[43mtll\u001b[49m\u001b[43m=\u001b[49m\u001b[43m[\u001b[49m\u001b[43m[\u001b[49m\u001b[32;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[32;43m0\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[32;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[32;43m1\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtuu\u001b[49m\u001b[43m=\u001b[49m\u001b[32;43m1.2\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 4\u001b[39m \u001b[43m \u001b[49m\u001b[43mtul\u001b[49m\u001b[43m=\u001b[49m\u001b[32;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtlu\u001b[49m\u001b[43m=\u001b[49m\u001b[32;43m1\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 5\u001b[39m \u001b[43m \u001b[49m\u001b[43mtuself\u001b[49m\u001b[43m=\u001b[49m\u001b[32;43m0.2\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtlself\u001b[49m\u001b[43m=\u001b[49m\u001b[32;43m0.2\u001b[39;49m\n\u001b[32m 6\u001b[39m \u001b[43m)\u001b[49m.toarray().real \u001b[38;5;66;03m## How to set the multij orbital index for the hoppings?\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m~/miniconda3/envs/kwant-env/lib/python3.11/site-packages/moirepy/moire.py:359\u001b[39m, in \u001b[36mBilayerMoireLattice.generate_hamiltonian\u001b[39m\u001b[34m(self, tll, tuu, tlu, tul, tuself, tlself, data_type, extra_inputs)\u001b[39m\n\u001b[32m 356\u001b[39m v_tlself = \u001b[38;5;28mself\u001b[39m._prepare_self_input(tlself, instr[\u001b[33m\"\u001b[39m\u001b[33mtlself\u001b[39m\u001b[33m\"\u001b[39m], l_lat, extra_inputs)\n\u001b[32m 357\u001b[39m v_tuself = \u001b[38;5;28mself\u001b[39m._prepare_self_input(tuself, instr[\u001b[33m\"\u001b[39m\u001b[33mtuself\u001b[39m\u001b[33m\"\u001b[39m], u_lat, extra_inputs)\n\u001b[32m--> \u001b[39m\u001b[32m359\u001b[39m v_tll = \u001b[38;5;28;43mself\u001b[39;49m\u001b[43m.\u001b[49m\u001b[43m_prepare_hopping_input\u001b[49m\u001b[43m(\u001b[49m\u001b[43mtll\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43minstr\u001b[49m\u001b[43m[\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mtll\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43ml_lat\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43ml_lat\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mextra_inputs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 360\u001b[39m v_tuu = \u001b[38;5;28mself\u001b[39m._prepare_hopping_input(tuu, instr[\u001b[33m\"\u001b[39m\u001b[33mtuu\u001b[39m\u001b[33m\"\u001b[39m], u_lat, u_lat, extra_inputs)\n\u001b[32m 361\u001b[39m v_tlu = \u001b[38;5;28mself\u001b[39m._prepare_hopping_input(tlu, instr[\u001b[33m\"\u001b[39m\u001b[33mtlu\u001b[39m\u001b[33m\"\u001b[39m], l_lat, u_lat, extra_inputs)\n", + "\u001b[36mFile \u001b[39m\u001b[32m~/miniconda3/envs/kwant-env/lib/python3.11/site-packages/moirepy/moire.py:259\u001b[39m, in \u001b[36mBilayerMoireLattice._prepare_hopping_input\u001b[39m\u001b[34m(self, val, instruction, layer_i, layer_j, extra_inputs)\u001b[39m\n\u001b[32m 236\u001b[39m \u001b[38;5;250m\u001b[39m\u001b[33;03m\"\"\"Normalize pair-hopping input for Rust Hamiltonian builders.\u001b[39;00m\n\u001b[32m 237\u001b[39m \n\u001b[32m 238\u001b[39m \u001b[33;03mParameters\u001b[39;00m\n\u001b[32m (...)\u001b[39m\u001b[32m 255\u001b[39m \u001b[33;03m ``N * k * k``.\u001b[39;00m\n\u001b[32m 256\u001b[39m \u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 257\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28mcallable\u001b[39m(val):\n\u001b[32m 258\u001b[39m \u001b[38;5;66;03m# If scalar, we still send a float. Rust will handle the 'Scalar' variant.\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m259\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mfloat\u001b[39m(val) \u001b[38;5;28;01mif\u001b[39;00m val \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m \u001b[38;5;28;01melse\u001b[39;00m \u001b[32m0.0\u001b[39m\n\u001b[32m 261\u001b[39m k = \u001b[38;5;28mself\u001b[39m.orbitals\n\u001b[32m 262\u001b[39m \u001b[38;5;66;03m# 1. Map IDs to string labels\u001b[39;00m\n", + "\u001b[31mTypeError\u001b[39m: float() argument must be a string or a real number, not 'list'" + ] + } + ], + "source": [ + "lattice.generate_connections(inter_layer_radius=1)\n", + "real_ham = lattice.generate_hamiltonian(\n", + " tll=[[1, 0], [0, 1]], tuu=1.2,\n", + " tul=1, tlu=1,\n", + " tuself=0.2, tlself=0.2\n", + ").toarray().real ## How to set the multij orbital index for the hoppings?" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "id": "60f20185", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Hamiltonian shape: [[0.2 0.2 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 1. 1. 1. 1.\n", + " 1. 1. 0. 0. 0. 0. 0. 0. 1. 1. ]\n", + " [0.2 0.2 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 1. 1. 1. 1.\n", + " 1. 1. 0. 0. 0. 0. 0. 0. 1. 1. ]\n", + " [2. 2. 0.2 0.2 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 1. 1. 0. 0.\n", + " 1. 1. 1. 1. 0. 0. 1. 1. 0. 0. ]\n", + " [2. 2. 0.2 0.2 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 1. 1. 0. 0.\n", + " 1. 1. 1. 1. 0. 0. 1. 1. 0. 0. ]\n", + " [2. 2. 2. 2. 0.2 0.2 2. 2. 2. 2. 2. 2. 2. 2. 0. 0. 0. 0.\n", + " 0. 0. 1. 1. 1. 1. 0. 0. 1. 1. ]\n", + " [2. 2. 2. 2. 0.2 0.2 2. 2. 2. 2. 2. 2. 2. 2. 0. 0. 0. 0.\n", + " 0. 0. 1. 1. 1. 1. 0. 0. 1. 1. ]\n", + " [2. 2. 2. 2. 2. 2. 0.2 0.2 2. 2. 2. 2. 2. 2. 1. 1. 1. 1.\n", + " 1. 1. 1. 1. 0. 0. 0. 0. 1. 1. ]\n", + " [2. 2. 2. 2. 2. 2. 0.2 0.2 2. 2. 2. 2. 2. 2. 1. 1. 1. 1.\n", + " 1. 1. 1. 1. 0. 0. 0. 0. 1. 1. ]\n", + " [2. 2. 2. 2. 2. 2. 2. 2. 0.2 0.2 2. 2. 2. 2. 1. 1. 1. 1.\n", + " 0. 0. 1. 1. 1. 1. 0. 0. 0. 0. ]\n", + " [2. 2. 2. 2. 2. 2. 2. 2. 0.2 0.2 2. 2. 2. 2. 1. 1. 1. 1.\n", + " 0. 0. 1. 1. 1. 1. 0. 0. 0. 0. ]\n", + " [2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 0.2 0.2 2. 2. 0. 0. 0. 0.\n", + " 1. 1. 0. 0. 1. 1. 1. 1. 0. 0. ]\n", + " [2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 0.2 0.2 2. 2. 0. 0. 0. 0.\n", + " 1. 1. 0. 0. 1. 1. 1. 1. 0. 0. ]\n", + " [2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 0.2 0.2 0. 0. 1. 1.\n", + " 0. 0. 0. 0. 0. 0. 1. 1. 1. 1. ]\n", + " [2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 0.2 0.2 0. 0. 1. 1.\n", + " 0. 0. 0. 0. 0. 0. 1. 1. 1. 1. ]\n", + " [1. 1. 1. 1. 0. 0. 1. 1. 1. 1. 0. 0. 0. 0. 0.1 0.1 1.2 1.2\n", + " 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2]\n", + " [1. 1. 1. 1. 0. 0. 1. 1. 1. 1. 0. 0. 0. 0. 0.1 0.1 1.2 1.2\n", + " 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2]\n", + " [1. 1. 0. 0. 0. 0. 1. 1. 1. 1. 0. 0. 1. 1. 1.2 1.2 0.1 0.1\n", + " 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2]\n", + " [1. 1. 0. 0. 0. 0. 1. 1. 1. 1. 0. 0. 1. 1. 1.2 1.2 0.1 0.1\n", + " 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2]\n", + " [1. 1. 1. 1. 0. 0. 1. 1. 0. 0. 1. 1. 0. 0. 1.2 1.2 1.2 1.2\n", + " 0.1 0.1 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2]\n", + " [1. 1. 1. 1. 0. 0. 1. 1. 0. 0. 1. 1. 0. 0. 1.2 1.2 1.2 1.2\n", + " 0.1 0.1 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2]\n", + " [0. 0. 1. 1. 1. 1. 1. 1. 1. 1. 0. 0. 0. 0. 1.2 1.2 1.2 1.2\n", + " 1.2 1.2 0.1 0.1 1.2 1.2 1.2 1.2 1.2 1.2]\n", + " [0. 0. 1. 1. 1. 1. 1. 1. 1. 1. 0. 0. 0. 0. 1.2 1.2 1.2 1.2\n", + " 1.2 1.2 0.1 0.1 1.2 1.2 1.2 1.2 1.2 1.2]\n", + " [0. 0. 0. 0. 1. 1. 0. 0. 1. 1. 1. 1. 0. 0. 1.2 1.2 1.2 1.2\n", + " 1.2 1.2 1.2 1.2 0.1 0.1 1.2 1.2 1.2 1.2]\n", + " [0. 0. 0. 0. 1. 1. 0. 0. 1. 1. 1. 1. 0. 0. 1.2 1.2 1.2 1.2\n", + " 1.2 1.2 1.2 1.2 0.1 0.1 1.2 1.2 1.2 1.2]\n", + " [0. 0. 1. 1. 0. 0. 0. 0. 0. 0. 1. 1. 1. 1. 1.2 1.2 1.2 1.2\n", + " 1.2 1.2 1.2 1.2 1.2 1.2 0.1 0.1 1.2 1.2]\n", + " [0. 0. 1. 1. 0. 0. 0. 0. 0. 0. 1. 1. 1. 1. 1.2 1.2 1.2 1.2\n", + " 1.2 1.2 1.2 1.2 1.2 1.2 0.1 0.1 1.2 1.2]\n", + " [1. 1. 0. 0. 1. 1. 1. 1. 0. 0. 0. 0. 1. 1. 1.2 1.2 1.2 1.2\n", + " 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 0.1 0.1]\n", + " [1. 1. 0. 0. 1. 1. 1. 1. 0. 0. 0. 0. 1. 1. 1.2 1.2 1.2 1.2\n", + " 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 0.1 0.1]]\n" + ] + } + ], + "source": [ + "print(f\"Hamiltonian shape: {real_ham}\")" ] }, { @@ -352,7 +666,7 @@ ], "metadata": { "kernelspec": { - "display_name": ".venv", + "display_name": "kwant-env", "language": "python", "name": "python3" }, @@ -366,7 +680,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.7" + "version": "3.11.15" } }, "nbformat": 4, diff --git a/docs/getting_started/k_space_hamiltonian.ipynb b/docs/getting_started/k_space_hamiltonian.ipynb index 09518a3..732167a 100644 --- a/docs/getting_started/k_space_hamiltonian.ipynb +++ b/docs/getting_started/k_space_hamiltonian.ipynb @@ -22,7 +22,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 17, "id": "e564fb9b", "metadata": {}, "outputs": [], @@ -34,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 18, "id": "a7ee19a4", "metadata": {}, "outputs": [ @@ -70,7 +70,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 19, "id": "53c345d6", "metadata": {}, "outputs": [], @@ -95,22 +95,69 @@ }, { "cell_type": "code", - "execution_count": 4, - "id": "3cc48f09", + "execution_count": 20, + "id": "6a0c66ab", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Matrix shape: (28, 28)\n" + "Moire Unit cell Area: 6.06\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_10746/3871110008.py:5: DeprecationWarning: Arrays of 2-dimensional vectors are deprecated. Use arrays of 3-dimensional vectors instead. (deprecated in NumPy 2.0)\n", + " moire_area = abs(np.cross(mlv1, mlv2))\n" ] } ], "source": [ - "k = np.array([0.1, 0.2])\n", - "Hk = real_ham * lattice.get_phase(k).toarray()\n", - "print(f\"Matrix shape: {Hk.shape}\")" + "## Get Moire Lattice Vectors\n", + "mlv1 = np.array(lattice.mlv1) # 1st moire lattice vector\n", + "mlv2 = np.array(lattice.mlv2) # 2nd moire lattice vector\n", + "## Compute the 2D cross product (area of the parallelogram)\n", + "moire_area = abs(np.cross(mlv1, mlv2))\n", + "print(f\"Moire Unit cell Area: {moire_area:.2f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "73c50ff4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1st Moire Reciprocal Lattice Vector: [2.6927937 0.51822839]\n", + "2nd Moire Reciprocal Lattice Vector: [-1.7951958 2.07291356]\n", + "Moire Reciprocal Lattice Area: 6.512250008873207\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_10746/824813082.py:9: DeprecationWarning: Arrays of 2-dimensional vectors are deprecated. Use arrays of 3-dimensional vectors instead. (deprecated in NumPy 2.0)\n", + " print(\"Moire Reciprocal Lattice Area: \", abs(np.cross(k1, k2)))\n" + ] + } + ], + "source": [ + "# Prefactor (2π / Area)\n", + "prefactor = (2 * np.pi) / moire_area\n", + "\n", + "# Compute K-space lattice vectors\n", + "k1 = prefactor * np.array([mlv2[1], -mlv2[0]]) # (lv2_y, -lv2_x)\n", + "k2 = prefactor * np.array([-mlv1[1], mlv1[0]]) # (-lv1_y, lv1_x)\n", + "print(\"1st Moire Reciprocal Lattice Vector: \", k1)\n", + "print(\"2nd Moire Reciprocal Lattice Vector: \", k2)\n", + "print(\"Moire Reciprocal Lattice Area: \", abs(np.cross(k1, k2)))" ] }, { @@ -148,20 +195,21 @@ "source": [ "### Step 1: Define the Path\n", "\n", - "We sample the zone by interpolating between High-Symmetry points ($\\Gamma$, $K$, $M$) in the MBZ. This path captures the essential physics of the system." + "We sample the zone by interpolating between High-Symmetry points ($\\Gamma$, $K$, $Kp$ $M$) in the MBZ. This path captures the essential physics of the system." ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 22, "id": "72f6a3dc", "metadata": {}, "outputs": [], "source": [ "# Defined using the reciprocal lattice vectors of the moire system\n", "G = np.array([0, 0])\n", - "K = (1/3) * (lattice.mlv1 + lattice.mlv2) \n", - "M = (1/2) * lattice.mlv1\n", + "K = (1/3) * k1 + 2/3 * k2\n", + "Kp = 2/3 * k1 + 1/3 * k2\n", + "M = (1/2) * k1\n", "\n", "def get_path(points, steps=50):\n", " path = []\n", @@ -170,7 +218,7 @@ " path.append(points[i] * (1 - t) + points[i + 1] * t)\n", " return np.array(path)\n", "\n", - "k_path = get_path([G, K, M, G])" + "k_path = get_path([G, K, Kp, M, G])" ] }, { @@ -185,7 +233,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 23, "id": "b795b6c3", "metadata": {}, "outputs": [], @@ -211,13 +259,13 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 25, "id": "8b8a216f", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -235,11 +283,12 @@ "plt.axvline(x=50, linestyle='--', color='gray', alpha=0.5)\n", "plt.axvline(x=100, linestyle='--', color='gray', alpha=0.5)\n", "\n", - "plt.xticks([0, 50, 100, 150], [r'$\\Gamma$', 'K', 'M', r'$\\Gamma$'])\n", + "plt.xticks([0, 50, 100, 150], [r'$\\Gamma$', 'K', \"Kp\", 'M'])\n", "# plt.ylim(-4, 4)\n", "plt.ylabel(\"Energy (t)\")\n", "plt.title(\"Moiré Band Structure\")\n", "plt.grid(axis='y', alpha=0.3)\n", + "plt.ylim(-2, 2)\n", "plt.show()" ] }, @@ -249,7 +298,7 @@ "metadata": {}, "source": [ "!!! note\n", - " Using constant hopping ($t=1$) over a large supercell results in a dense, folded band structure. To see the isolated flat bands characteristic of the Magic Angle, refer to the Replicated Papers section where we implement distance-dependent (exponential) hopping." + " Using constant hopping ($t=1$) over a large supercell results in a dense, folded band structure. To see the isolated flat bands characteristic of the Magic Angle, refer to the Replicated Papers section where we implement distance-dependent (exponential) hopping. what is this bro .... " ] }, { @@ -282,7 +331,7 @@ ], "metadata": { "kernelspec": { - "display_name": ".venv", + "display_name": "kwant-env", "language": "python", "name": "python3" }, @@ -296,7 +345,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.7" + "version": "3.11.15" } }, "nbformat": 4, diff --git a/docs/getting_started/obc_vs_pbc.ipynb b/docs/getting_started/obc_vs_pbc.ipynb index febcf1f..9a51834 100644 --- a/docs/getting_started/obc_vs_pbc.ipynb +++ b/docs/getting_started/obc_vs_pbc.ipynb @@ -45,12 +45,12 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "ba16f8e5", "metadata": {}, "outputs": [], "source": [ - "# Parameters for a ~9.43 degree twist\n", + "# Parameters for around ~9.43 degree twist\n", "params = {\n", " \"latticetype\": HexagonalLayer,\n", " \"ll1\": 3, \"ll2\": 4, \"ul1\": 4, \"ul2\": 3,\n", @@ -216,7 +216,7 @@ "source": [ "## 5. Spectrum Comparison\n", "\n", - "The choice of boundary conditions significantly affects the energy eigenvalues. OBC introduces \"edge states\" that may appear in gaps where the bulk (PBC) system has no states." + "The choice of boundary conditions significantly affects the energy eigenvalues. For example in a toplogically non trivial system [1] OBC introduces \"edge states\" that may appear in gaps where the bulk (PBC) system has no states." ] }, { @@ -268,6 +268,15 @@ "This demonstrates how boundary conditions control whether you simulate a finite system or an infinite periodic system." ] }, + { + "cell_type": "markdown", + "id": "7a3805ea", + "metadata": {}, + "source": [ + "## References\n", + "1. Physics with Coffee and Doughnuts: Understanding the Physics Behind Topological Insulators Through Su-Schrieffer-Heeger Model, Batra, Navketan and Sheet, Goutam, 10.1007/s12045-020-0995-x" + ] + }, { "cell_type": "markdown", "id": "85501f0f", diff --git a/docs/theory/DoS_Calculation.ipynb b/docs/theory/DoS_Calculation.ipynb new file mode 100644 index 0000000..29a7076 --- /dev/null +++ b/docs/theory/DoS_Calculation.ipynb @@ -0,0 +1,369 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "84a69e80", + "metadata": {}, + "source": [ + "# Density of States Calculation" + ] + }, + { + "cell_type": "markdown", + "id": "1b311241", + "metadata": {}, + "source": [ + "The **Density of States (DOS)** is a fundamental concept in condensed matter physics and materials science. It describes how many states are available within a specific energy range for particle to occupy. In essence, it quantifies the number of quantum states per unit energy interval at each energy level, giving insight into a material's electronic, optical, and thermal properties.\n", + "\n", + "Mathematically, the DOS $D(E)$ is defined as:\n", + "\n", + "$$\n", + "D(E) = \\frac{dN}{dE}\n", + "$$\n", + "\n", + "where $N(E)$ is the number of states with energy less than or equal to $E$.\n", + "\n", + "Direct computation of the DOS involves diagonalizing the system’s Hamiltonian, which has a computational complexity of $\\mathcal{O}(n^3)$, where $n$ is the system size. This becomes infeasible for large or complex systems, such as disordered materials or many-body interacting systems. To address this, we use the **Kernel Polynomial Method (KPM)** \\[1], an efficient and scalable technique for estimating the DOS. KPM reduces the problem to a **trace estimation**, which scales as $\\mathcal{O}(n)$ - $\\mathcal{O}(n^3)$, making it highly suitable for large sparse Hamiltonians.\n", + "\n", + "### The KPM Algorithm\n", + "\n", + "The core idea of KPM is to approximate the DOS using a series expansion in **Chebyshev polynomials**, which are numerically stable and well-suited for functions defined on the interval $[-1, 1]$. The method proceeds in the following steps:\n", + "\n", + "#### 1. **Rescale the Hamiltonian**\n", + "\n", + "Since Chebyshev polynomials are defined on $[-1, 1]$, the Hamiltonian $H$ must be linearly rescaled so that all its eigenvalues fall within this interval:\n", + "\n", + "$$\n", + "\\tilde{H} = \\frac{H - b}{a}\n", + "$$\n", + "\n", + "where $a$ and $b$ are determined based on the spectral bounds (minimum and maximum eigenvalues) of $H$.\n", + "\n", + "#### 2. **Expand DOS in Chebyshev Polynomials**\n", + "\n", + "The DOS is approximated by a finite sum over Chebyshev polynomials $T_n(E)$:\n", + "\n", + "$$\n", + "\\rho(E) \\approx \\frac{1}{\\pi \\sqrt{1 - E^2}} \\left[ \\mu_0 + 2 \\sum_{n=1}^{N-1} \\mu_n T_n(E) \\right]\n", + "$$\n", + "\n", + "where $\\mu_n$ are the **Chebyshev moments**, given by:\n", + "\n", + "$$\n", + "\\mu_n = \\text{Tr}[T_n(\\tilde{H})]\n", + "$$\n", + "\n", + "These moments encode how each polynomial contributes to reconstructing the DOS.\n", + "\n", + "#### 3. **Estimate the Trace Stochastically**\n", + "\n", + "Instead of computing the trace exactly (which can be costly), we approximate it using a small number of random vectors $|r\\rangle$:\n", + "\n", + "$$\n", + "\\mu_n \\approx \\frac{1}{R} \\sum_{r=1}^{R} \\langle r | T_n(\\tilde{H}) | r \\rangle\n", + "$$\n", + "\n", + "Where R is the number of moment. This is known as **stochastic trace estimation** (typically sclaes as $\\mathcal{O(n)}$), and it significantly reduces computational cost while maintaining accuracy for large matrices (as R is inversly proportional to the dimension of the Hamiltonian).\n", + "\n", + "#### 4. **Apply a Smoothing Kernel**\n", + "\n", + "To mitigate Gibbs oscillations caused by truncating the polynomial series, a smoothing kernel (such as the **Jackson kernel**) is applied to the coefficients:\n", + "\n", + "$$\n", + "\\mu_n \\rightarrow g_n \\mu_n\n", + "$$\n", + "\n", + "where $g_n$ are kernel weights that damp high-frequency components, leading to a smoother and more physically accurate approximation of the DOS.\n", + "\n", + "### Practical Usage with Kwant\n", + "\n", + "To demonstrate KPM in practice, we will use the excellent Python library **[Kwant](https://kwant-project.org/)** \\[2], which provides built-in functions for computing the DOS and related observables efficiently using methods like KPM." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "8c05eda4", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from moirepy import BilayerMoireLattice, HexagonalLayer" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "0dd3ab25", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "twist angle = 0.3803 rad (21.7868 deg)\n", + "1400 cells in upper lattice\n", + "1400 cells in lower lattice\n" + ] + } + ], + "source": [ + "lattice = BilayerMoireLattice(\n", + " latticetype=HexagonalLayer,\n", + " ll1=1, ll2=2,\n", + " ul1=2, ul2=1,\n", + " n1=10, n2=10, ## u need to reasonably large system for better convergence of DoS\n", + " ## Dont worry as kpm is very efficient for large systems!!!\n", + " pbc=False \n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "c0f80cce", + "metadata": {}, + "outputs": [], + "source": [ + "#import kwant for calculations for DoS calculations\n", + "import kwant\n", + "#!pip install kwant" + ] + }, + { + "cell_type": "markdown", + "id": "494a6214", + "metadata": {}, + "source": [ + "## Case 1: Study of DoS with random onsite disorder!" + ] + }, + { + "cell_type": "markdown", + "id": "e0ce80cc", + "metadata": {}, + "source": [ + "We will show the density of states (DoS) of the moiré system under random onsite potential. This study is very useful for understanding the effects of disorder on electronic properties, such as localization, gap filling, transport behavior in moiré materials and many more." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "08b57e0d", + "metadata": {}, + "outputs": [], + "source": [ + "w = np.random.uniform(-1, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "08c0d867", + "metadata": {}, + "outputs": [], + "source": [ + "lattice.generate_connections(inter_layer_radius=1)\n", + "\n", + "real_ham = lattice.generate_hamiltonian(\n", + " tll=1, tuu=1,\n", + " tul=1, tlu=1,\n", + " tuself=w, tlself=w\n", + ").toarray().real" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8e328714", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "the strength of the onside disorder is w: -0.04769177819134929\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## estimate the spectral density of states\n", + "x = kwant.kpm.SpectralDensity(real_ham, params=None, operator=None, num_vectors=20, num_moments=200)\n", + "# By dafault it choose Jacson Kernel.\n", + "print(f\"the strength of the onside disorder is w: {w}\")\n", + "e, rho = x()\n", + "plt.plot(e, rho)\n", + "plt.xlabel('Energy')\n", + "plt.ylabel('Density of States')\n", + "plt.title('Spectral Density of States')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "af3635ba", + "metadata": {}, + "source": [ + "## Case 2: Study of DoS under Gaussian hopping" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "3cfcd1e8", + "metadata": {}, + "outputs": [], + "source": [ + "## Define the Gaussian-decay inter-layer hopping function\n", + "def gaussian_inter(pos_i, pos_j, R, type_i, type_j, lattice, t0, rc):\n", + " \"\"\"Gaussian-decay inter-layer hopping.\"\"\"\n", + " # R maps pos_j to its true physical coordinate inside the supercell\n", + " r = np.linalg.norm(pos_i - (pos_j + R), axis=1) \n", + " return t0 * np.exp(-(r / rc) ** 2) " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "3d67d7a6", + "metadata": {}, + "outputs": [], + "source": [ + "T0 = 0.5 # inter-layer amplitude at r=0\n", + "RC = 1.0 # Gaussian decay length\n", + "\n", + "ham = lattice.generate_hamiltonian(\n", + " tll=1, # float: same hop for every intra-lower bond\n", + " tuu=1, # float: same hop for every intra-upper bond\n", + " tul=gaussian_inter, # callable\n", + " tlu=gaussian_inter, # callable (tlu = tul dagger for a Hermitian system)\n", + " tlself=0.0, # float: zero on-site energy\n", + " tuself=0.0, # float: zero on-site energy\n", + " extra_inputs={\"t0\": T0, \"rc\": RC},\n", + ").toarray()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "286abf1d", + "metadata": {}, + "outputs": [], + "source": [ + "def get_kpm_dos(rc):\n", + " sys = lattice.generate_hamiltonian(\n", + " tll=1, tuu=1,\n", + " tul=gaussian_inter, tlu=gaussian_inter,\n", + " extra_inputs={\"t0\": T0, \"rc\": rc},\n", + " ).toarray()\n", + "\n", + "\n", + " spectrum = kwant.kpm.SpectralDensity(sys, params=None, operator=None, num_vectors=20, num_moments=200) \n", + " ## adjust num_vectors and num_moments for better accuracy\n", + " energies, densities = spectrum()\n", + "\n", + " return energies, densities" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "8ac4c6a6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for rc, label in zip(\n", + " [0.4, 1.0],\n", + " [r\"Short range ($r_c = 0.4$)\", r\"Long range ($r_c = 1.0$)\"],\n", + "):\n", + " energies, densities = get_kpm_dos(rc)\n", + " plt.plot(energies, densities, label=label)\n", + "\n", + "plt.xlabel(\"Energy (eV)\")\n", + "plt.ylabel(\"Density of States\")\n", + "plt.title(\"KPM Density of States\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "0410295f", + "metadata": {}, + "source": [ + "It is clear that for different `rc` values the layers coupled differently and the peak structure changes visibly. " + ] + }, + { + "cell_type": "markdown", + "id": "f457476f", + "metadata": {}, + "source": [ + "!!! note\n", + " `generate_hamiltonian` runs in $O(N)$ time once connections are established. You can call it repeatedly with different `rc` or `t0` values without rebuilding the lattice or re-running `generate_connections`." + ] + }, + { + "cell_type": "markdown", + "id": "a5c7c6c4", + "metadata": {}, + "source": [ + "Also this exmaple illustrate that you can use `kwant` library to compute the physical observable and analyse the physics of moire system. " + ] + }, + { + "cell_type": "markdown", + "id": "9a5dc40e", + "metadata": {}, + "source": [ + "## References\n", + "1. Alexander Weibe, Gerhard Wellein, Andreas Alvermann and Holger Fehske, The kernel polynomial method, Reviews of Modern Physics, Volume 78, January 2006\n", + " \n", + "2. C. W. Groth, M. Wimmer, A. R. Akhmerov, X.Waintal, Kwant: a software package for quantum transport, New J. Phys. 16, 063065 (2014)." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "kwant-env", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.15" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}