Dynamic Simulations of the Kosterlitz-Thouless Phase Transition

TL;DR

This paper introduces a new dynamic simulation method for the Kosterlitz-Thouless phase transition, accurately estimating critical parameters and exponents in the 2D XY model near the transition temperature.

Contribution

A novel dynamic approach based on short-time scaling is proposed to numerically analyze the Kosterlitz-Thouless transition, improving near-critical data accuracy.

Findings

Estimated transition temperature T_{KT}

Computed critical exponents

Achieved data closer to T_{KT} than equilibrium Monte Carlo

Abstract

Based on the short-time dynamic scaling form, a novel dynamic approach is proposed to tackle numerically the Kosterlitz-Thouless phase transition. Taking the two-dimensional XY model as an example, the exponential divergence of the spatial correlation length, the transition temperature $T_{KT}$ and all critical exponents are computed. Compared with Monte Carlo simulations in equilibrium, we obtain data at temperatures nearer to $T_{KT}$.