Dynamic Monte Carlo Study of the Two-Dimensional Quantum XY Model

TL;DR

This paper uses dynamic Monte Carlo simulations to analyze the phase transition in the 2D quantum XY model, determining key critical exponents at the transition temperature.

Contribution

It provides a novel dynamic Monte Carlo approach to study the Kosterlitz-Thouless transition in the 2D quantum XY model and extracts critical exponents.

Findings

Identified short-time dynamic scaling behaviour.

Determined the dynamical exponent θ and z.

Measured the static exponent η.

Abstract

We present a dynamic Monte Carlo study of the Kosterlitz-Thouless phase transition for the spin-1/2 quantum XY model in two dimensions. The short-time dynamic scaling behaviour is found and the dynamical exponent $\theta$, $z$ and the static exponent $\eta$ are determined at the transition temperature.