{ "cells": [ { "cell_type": "markdown", "id": "5071455e", "metadata": {}, "source": [ "# BKT Transition: Vortices, Helicity, and Correlations\n", "\n", "The Berezinskii-Kosterlitz-Thouless (BKT) transition in the 2D XY model is not driven by symmetry breaking but by the unbinding of topological defects: vortex-antivortex pairs. Below $T_{\\mathrm{BKT}} \\approx 0.893$ vortices and antivortices remain bound into dipole pairs that contribute only weakly to thermodynamic fluctuations. Above $T_{\\mathrm{BKT}}$ these pairs dissociate into free vortices, destroying the algebraic quasi-long-range order and introducing a finite correlation length [[1]](#Bibliography) [[2]](#Bibliography).\n", "\n", "This notebook examines three complementary signatures of the BKT transition:\n", "\n", "1. **Vortex density** $n_v(T)$: the fraction of plaquettes carrying nonzero winding number, which rises sharply near $T_{\\mathrm{BKT}}$ as bound pairs proliferate and eventually unbind.\n", "2. **Helicity modulus** $\\Upsilon(T)$: the superfluid stiffness, which exhibits a universal discontinuous jump $\\Upsilon(T_{\\mathrm{BKT}}^{-}) = 2T_{\\mathrm{BKT}}/\\pi$ at the transition, proportional to the density of the superfluid component in the dual Coulomb-gas picture [[2]](#Bibliography).\n", "3. **Correlation function** $G(r)$: algebraic decay $G(r) \\sim r^{-\\eta(T)}$ with a continuously varying exponent below $T_{\\mathrm{BKT}}$, switching to exponential decay $G(r) \\sim e^{-r/\\xi}$ above the transition [[1]](#Bibliography).\n", "\n", "Each section loads precomputed data from `results/xy/` when available and falls back to a lightweight inline computation otherwise." ] }, { "cell_type": "code", "execution_count": 1, "id": "fa45633e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "T_BKT (theoretical) = 0.893\n", "Repository root: /workspaces/vibespin\n" ] } ], "source": [ "from __future__ import annotations\n", "\n", "from pathlib import Path\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from models.xy_model import XYSimulation\n", "from utils.equilibration import convergence_equilibrate\n", "from utils.observables import get_averaged_correlation\n", "\n", "\n", "def _find_repo_root() -> Path:\n", " cwd = Path.cwd().resolve()\n", " for candidate in (cwd, *cwd.parents):\n", " if (candidate / 'pyproject.toml').exists() and (candidate / 'results').exists():\n", " return candidate\n", " return cwd\n", "\n", "\n", "REPO_ROOT = _find_repo_root()\n", "T_BKT = 0.893\n", "CACHE_DIR = REPO_ROOT / 'results' / 'xy'\n", "PALETTE = {\n", " 'vortex': '#D65F5F',\n", " 'helicity': '#4878CF',\n", " 'corr_low': '#4878CF',\n", " 'corr_high': '#D65F5F',\n", " 'jump_line': '#956CB4',\n", "}\n", "\n", "plt.rcParams['figure.dpi'] = 120\n", "\n", "print(f'T_BKT (theoretical) = {T_BKT}')\n", "print(f'Repository root: {REPO_ROOT}')" ] }, { "cell_type": "markdown", "id": "c1dece63", "metadata": {}, "source": [ "## Part I: Vortex Density\n", "\n", "### Data\n", "\n", "The vortex density is the fraction of lattice plaquettes that carry a nonzero winding number. In the ground state this fraction is zero. As $T$ increases, thermally generated vortex-antivortex pairs appear at a rate that grows rapidly near $T_{\\mathrm{BKT}}$. The cached data comes from `scripts/xy/bkt_transition.py`; the fallback sweeps a $32 \\times 32$ lattice with short equilibration and measurement." ] }, { "cell_type": "code", "execution_count": 2, "id": "025cd106", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Computed fallback vortex sweep (18 points, L=32)\n" ] } ], "source": [ "vortex_cache = CACHE_DIR / 'bkt_transition.npz'\n", "vortex_min_points = 8\n", "\n", "\n", "def _compute_vortex_sweep(\n", " *,\n", " size: int = 32,\n", " n_temps: int = 18,\n", " meas_steps: int = 80,\n", " eq_probe: int = 200,\n", " eq_max: int = 8_000,\n", ") -> tuple[np.ndarray, np.ndarray]:\n", " temps = np.linspace(0.3, 1.5, n_temps)\n", " densities = np.empty_like(temps)\n", " for idx, t in enumerate(temps):\n", " sim_r = XYSimulation(size=size, temp=float(t), update='checkerboard', init_state='random', seed=100 + idx)\n", " sim_o = XYSimulation(size=size, temp=float(t), update='checkerboard', init_state='ordered', seed=100 + idx)\n", " convergence_equilibrate(sim_r, sim_o, chunk_size=eq_probe, max_steps=eq_max)\n", " total = 0.0\n", " for _ in range(meas_steps):\n", " sim_r.step()\n", " total += sim_r._get_vortex_density()\n", " densities[idx] = total / meas_steps\n", " return temps, densities\n", "\n", "\n", "vortex_loaded = False\n", "if vortex_cache.exists():\n", " d = np.load(vortex_cache)\n", " if 'temperatures' in d.files and 'vortex_densities' in d.files and d['temperatures'].size >= vortex_min_points:\n", " vortex_temps = np.asarray(d['temperatures'], dtype=float)\n", " vortex_densities = np.asarray(d['vortex_densities'], dtype=float)\n", " vortex_source = f'Loaded {vortex_temps.size} points from cache ({vortex_cache.name})'\n", " vortex_loaded = True\n", "\n", "if not vortex_loaded:\n", " vortex_temps, vortex_densities = _compute_vortex_sweep()\n", " vortex_source = f'Computed fallback vortex sweep ({vortex_temps.size} points, L=32)'\n", "\n", "print(vortex_source)" ] }, { "cell_type": "markdown", "id": "d6c1659e", "metadata": {}, "source": [ "### Vortex Density vs Temperature\n", "\n", "The vortex density curve rises gently at low temperature as tightly bound pairs form, then sharpens near $T_{\\mathrm{BKT}}$ as the binding energy vanishes and free vortices proliferate. The dashed vertical line marks the theoretical $T_{\\mathrm{BKT}} \\approx 0.893$." ] }, { "cell_type": "code", "execution_count": 3, "id": "b72542dc", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7.5, 4.8))\n", "\n", "ax.plot(vortex_temps, vortex_densities, 'o-', color=PALETTE['vortex'], lw=2, ms=5)\n", "ax.axvline(T_BKT, color='0.3', ls='--', lw=1.2, label=rf'$T_{{\\mathrm{{BKT}}}} = {T_BKT}$')\n", "ax.set_xlabel('Temperature $T$')\n", "ax.set_ylabel('Vortex density $n_v$')\n", "ax.set_title('Topological defect density across the BKT crossover')\n", "ax.grid(alpha=0.25)\n", "ax.legend(fontsize=9)\n", "\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "68b646b8", "metadata": {}, "source": [ "## Part II: Helicity Modulus\n", "\n", "### Data\n", "\n", "The helicity modulus (superfluid stiffness) $\\Upsilon$ measures the free-energy cost of imposing a twist across the lattice boundary. It is computed from the fluctuations of the spin-angle current:\n", "\n", "$$\\Upsilon = \\frac{1}{L^2}\\left( \\langle C \\rangle - \\frac{1}{T}\\langle S^2 \\rangle \\right)$$\n", "\n", "where $C = \\sum_{\\langle i,j \\rangle_x} \\cos(\\theta_i - \\theta_j)$ and $S = \\sum_{\\langle i,j \\rangle_x} \\sin(\\theta_i - \\theta_j)$ are summed over nearest-neighbor bonds in the $x$-direction.\n", "\n", "The BKT theory predicts a universal jump: $\\Upsilon(T_{\\mathrm{BKT}}^-) = 2T_{\\mathrm{BKT}}/\\pi$ with $\\Upsilon = 0$ above the transition (in the thermodynamic limit). On finite lattices the jump is rounded into a smooth crossover [[2]](#Bibliography) [[3]](#Bibliography)." ] }, { "cell_type": "code", "execution_count": 4, "id": "aabe4b3c", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n", "convergence_equilibrate: detected quasi-steady stuck state before max_steps=8000; stopping early without convergence.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Computed fallback helicity sweep (20 points, L=32)\n" ] } ], "source": [ "helicity_cache = CACHE_DIR / 'helicity_modulus.npz'\n", "helicity_min_points = 8\n", "\n", "\n", "def _compute_helicity_sweep(\n", " *,\n", " size: int = 32,\n", " n_temps: int = 20,\n", " meas_steps: int = 2_000,\n", " eq_probe: int = 200,\n", " eq_max: int = 8_000,\n", ") -> tuple[np.ndarray, np.ndarray]:\n", " temps = np.linspace(0.1, 1.5, n_temps)\n", " helicity = np.empty_like(temps)\n", " for idx, t in enumerate(temps):\n", " sim_r = XYSimulation(size=size, temp=float(t), update='checkerboard', init_state='random', seed=200 + idx)\n", " sim_o = XYSimulation(size=size, temp=float(t), update='checkerboard', init_state='ordered', seed=200 + idx)\n", " convergence_equilibrate(sim_r, sim_o, chunk_size=eq_probe, max_steps=eq_max)\n", " cos_sums = np.empty(meas_steps)\n", " sin_sums = np.empty(meas_steps)\n", " for k in range(meas_steps):\n", " sim_r.step()\n", " cos_sums[k], sin_sums[k] = sim_r._get_helicity_data()\n", " avg_cos = np.mean(cos_sums)\n", " avg_sq_sin = np.mean(sin_sums ** 2)\n", " helicity[idx] = (avg_cos - (1.0 / float(t)) * avg_sq_sin) / (size ** 2)\n", " return temps, helicity\n", "\n", "\n", "helicity_loaded = False\n", "if helicity_cache.exists():\n", " d = np.load(helicity_cache)\n", " if 'temperatures' in d.files and 'helicity_modulus' in d.files and d['temperatures'].size >= helicity_min_points:\n", " helicity_temps = np.asarray(d['temperatures'], dtype=float)\n", " helicity_vals = np.asarray(d['helicity_modulus'], dtype=float)\n", " helicity_source = f'Loaded {helicity_temps.size} points from cache ({helicity_cache.name})'\n", " helicity_loaded = True\n", "\n", "if not helicity_loaded:\n", " helicity_temps, helicity_vals = _compute_helicity_sweep()\n", " helicity_source = f'Computed fallback helicity sweep ({helicity_temps.size} points, L=32)'\n", "\n", "print(helicity_source)" ] }, { "cell_type": "markdown", "id": "35c5734c", "metadata": {}, "source": [ "### Helicity Modulus vs Temperature\n", "\n", "The helicity curve approaches a constant (the spin-wave stiffness) at low temperature, then drops toward zero near $T_{\\mathrm{BKT}}$. The dashed purple line shows the Nelson-Kosterlitz universal-jump criterion $\\Upsilon = 2T/\\pi$; the intersection with the data curve locates $T_{\\mathrm{BKT}}$ on the finite lattice [[2]](#Bibliography)." ] }, { "cell_type": "code", "execution_count": 5, "id": "22dbe9b0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7.5, 4.8))\n", "\n", "ax.plot(helicity_temps, helicity_vals, 'o-', color=PALETTE['helicity'], lw=2, ms=5, label=r'$\\Upsilon(T)$')\n", "\n", "jump_line_t = np.linspace(helicity_temps.min(), helicity_temps.max(), 100)\n", "jump_line_y = 2.0 * jump_line_t / np.pi\n", "ax.plot(jump_line_t, jump_line_y, '--', color=PALETTE['jump_line'], lw=1.5, label=r'$2T/\\pi$ (universal jump criterion)')\n", "\n", "ax.axvline(T_BKT, color='0.3', ls='--', lw=1.2, label=rf'$T_{{\\mathrm{{BKT}}}} = {T_BKT}$')\n", "ax.set_xlabel('Temperature $T$')\n", "ax.set_ylabel(r'Helicity modulus $\\Upsilon$')\n", "ax.set_title('Superfluid stiffness across the BKT crossover')\n", "ax.set_ylim(bottom=-0.05)\n", "ax.grid(alpha=0.25)\n", "ax.legend(fontsize=9)\n", "\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b98e111d", "metadata": {}, "source": [ "## Part III: Correlation Function\n", "\n", "### Data\n", "\n", "The spin-spin correlation function $G(r) = \\langle \\vec{s}_0 \\cdot \\vec{s}_r \\rangle$ reveals the nature of order in each regime. Below $T_{\\mathrm{BKT}}$ the decay is algebraic: $G(r) \\sim r^{-\\eta(T)}$ with $\\eta(T_{\\mathrm{BKT}}) = 1/4$. Above $T_{\\mathrm{BKT}}$ the decay crosses over to exponential: $G(r) \\sim \\exp(-r/\\xi)$ with a finite correlation length $\\xi$ [[1]](#Bibliography) [[2]](#Bibliography). The precomputed data comes from `scripts/xy/compare_correlations.py`; the fallback uses `get_averaged_correlation()` on a $40 \\times 40$ lattice." ] }, { "cell_type": "code", "execution_count": 6, "id": "13249261", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "convergence_equilibrate: detected quasi-steady stuck state before max_steps=6000; stopping early without convergence.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Computed fallback correlations (L=40)\n" ] } ], "source": [ "corr_cache = CACHE_DIR / 'correlation_comparison.npz'\n", "T_LOW = 0.4\n", "T_HIGH = 1.5\n", "\n", "\n", "def _compute_correlations(\n", " *,\n", " temp: float,\n", " size: int = 40,\n", " total_steps: int = 2_000,\n", " sample_interval: int = 20,\n", " eq_probe: int = 200,\n", " eq_max: int = 6_000,\n", " seed: int = 0,\n", ") -> tuple[np.ndarray, np.ndarray]:\n", " sim_r = XYSimulation(size=size, temp=temp, update='checkerboard', init_state='random', seed=seed)\n", " sim_o = XYSimulation(size=size, temp=temp, update='checkerboard', init_state='ordered', seed=seed)\n", " convergence_equilibrate(sim_r, sim_o, chunk_size=eq_probe, max_steps=eq_max)\n", " r, G = get_averaged_correlation(\n", " sim=sim_r,\n", " total_steps=total_steps,\n", " sample_interval=sample_interval,\n", " )\n", " return np.asarray(r, dtype=float), np.asarray(G, dtype=float)\n", "\n", "\n", "corr_loaded = False\n", "if corr_cache.exists():\n", " d = np.load(corr_cache)\n", " if all(k in d.files for k in ('r_low', 'G_low', 'r_high', 'G_high')):\n", " r_low = np.asarray(d['r_low'], dtype=float)\n", " G_low = np.asarray(d['G_low'], dtype=float)\n", " r_high = np.asarray(d['r_high'], dtype=float)\n", " G_high = np.asarray(d['G_high'], dtype=float)\n", " T_LOW = float(d['T_low']) if 'T_low' in d.files else T_LOW\n", " T_HIGH = float(d['T_high']) if 'T_high' in d.files else T_HIGH\n", " corr_source = f'Loaded correlation data from cache ({corr_cache.name})'\n", " corr_loaded = True\n", "\n", "if not corr_loaded:\n", " r_low, G_low = _compute_correlations(temp=T_LOW, seed=400)\n", " r_high, G_high = _compute_correlations(temp=T_HIGH, seed=401)\n", " corr_source = f'Computed fallback correlations (L=40)'\n", "\n", "print(corr_source)" ] }, { "cell_type": "markdown", "id": "fd055f59", "metadata": {}, "source": [ "### Correlation Functions on Log-Log and Semi-Log Scales\n", "\n", "A log-log plot reveals algebraic decay as a straight line: the negative slope gives $\\eta(T)$. A semi-log plot makes exponential decay appear linear. Below $T_{\\mathrm{BKT}}$ the log-log curve is approximately straight (power-law). Above $T_{\\mathrm{BKT}}$ the semi-log plot linearizes (exponential)." ] }, { "cell_type": "code", "execution_count": 7, "id": "900112b5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(12, 4.8))\n", "\n", "mask_low = (r_low > 0) & (G_low > 0)\n", "mask_high = (r_high > 0) & (G_high > 0)\n", "\n", "# Log-log: algebraic regime\n", "axes[0].loglog(r_low[mask_low], G_low[mask_low], 'o-', color=PALETTE['corr_low'], ms=3, lw=1.5,\n", " label=rf'$T = {T_LOW}$ (below $T_{{\\mathrm{{BKT}}}}$)')\n", "axes[0].loglog(r_high[mask_high], G_high[mask_high], 's-', color=PALETTE['corr_high'], ms=3, lw=1.5,\n", " label=rf'$T = {T_HIGH}$ (above $T_{{\\mathrm{{BKT}}}}$)')\n", "axes[0].set_xlabel('Distance $r$')\n", "axes[0].set_ylabel('$G(r)$')\n", "axes[0].set_title('Log-log (algebraic decay is linear)')\n", "axes[0].grid(alpha=0.25, which='both')\n", "axes[0].legend(fontsize=8)\n", "\n", "# Semi-log: exponential regime\n", "axes[1].semilogy(r_low[mask_low], G_low[mask_low], 'o-', color=PALETTE['corr_low'], ms=3, lw=1.5,\n", " label=rf'$T = {T_LOW}$')\n", "axes[1].semilogy(r_high[mask_high], G_high[mask_high], 's-', color=PALETTE['corr_high'], ms=3, lw=1.5,\n", " label=rf'$T = {T_HIGH}$')\n", "axes[1].set_xlabel('Distance $r$')\n", "axes[1].set_ylabel('$G(r)$')\n", "axes[1].set_title('Semi-log (exponential decay is linear)')\n", "axes[1].grid(alpha=0.25, which='both')\n", "axes[1].legend(fontsize=8)\n", "\n", "fig.suptitle('Correlation function below and above the BKT transition', y=1.02)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3b113626", "metadata": {}, "source": [ "## Synthesis\n", "\n", "The three observables jointly confirm the BKT mechanism. The vortex density curve shows the onset of topological defect proliferation near $T_{\\mathrm{BKT}}$. The helicity modulus tracks the vanishing of the superfluid stiffness, crossing the $2T/\\pi$ universal-jump line in the vicinity of the predicted transition temperature. The correlation function changes from algebraic to exponential decay across the same temperature region. Together these signatures distinguish the BKT transition from conventional order-disorder transitions: the correlation length diverges exponentially (rather than as a power law) from the high-temperature side, and the helicity modulus jumps discontinuously (rather than vanishing continuously) as the temperature decreases through $T_{\\mathrm{BKT}}$." ] }, { "cell_type": "markdown", "id": "4ca4d84c", "metadata": {}, "source": [ "## Bibliography\n", "\n", "[[1]](#Bibliography) V. L. Berezinskii, \"Destruction of Long-range Order in One-dimensional and Two-dimensional Systems Possessing a Continuous Symmetry Group. II. Quantum Systems,\" *Soviet Physics JETP* 34, 610 (1972). [JETP link](http://www.jetp.ras.ru/cgi-bin/e/index/e/34/3/p610?a=list)\n", "\n", "[[2]](#Bibliography) J. M. Kosterlitz and D. J. Thouless, \"Ordering, metastability and phase transitions in two-dimensional systems,\" *Journal of Physics C* 6, 1181 (1973). [IoP Open Access](https://iopscience.iop.org/article/10.1088/0022-3719/6/7/010)\n", "\n", "[[3]](#Bibliography) D. R. Nelson and J. M. Kosterlitz, \"Universal Jump in the Superfluid Density of Two-Dimensional Superfluids,\" *Physical Review Letters* 39, 1201 (1977). [APS](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.39.1201)" ] } ], "metadata": { "kernelspec": { "display_name": ".venv (3.12.12)", "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": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 5 }