Dynamic Approach to the Fully Frustrated XY Model

TL;DR

This paper uses Monte Carlo simulations to study the non-equilibrium dynamics and phase transition properties of the chiral degree of freedom in the 2D fully frustrated XY model, estimating critical exponents and transition temperature.

Contribution

It introduces a systematic Monte Carlo approach to analyze the non-equilibrium dynamics and critical behavior of the model, including estimation of critical exponents.

Findings

Critical initial increase of staggered chiral magnetization observed

Estimated transition temperature T_c and critical exponents θ, z, β, ν

Demonstrated the effectiveness of short-time dynamics in phase transition analysis

Abstract

Using Monte Carlo simulations, we systematically investigate the non-equilibrium dynamics of the chiral degree of freedom in the two-dimensional fully frustrated XY model. The critical initial increase of the staggered chiral magnetization is observed. By means of the short-time dynamics approach, we estimate the second order phase transition temperature $T_{c}$ and all the dynamic and static critical exponents $\theta$, z, $\beta$ and $\nu$.