High precision Monte Carlo study of the 3D XY-universality class

TL;DR

This paper uses high-precision Monte Carlo simulations to accurately determine critical exponents of the 3D XY universality class, improving upon previous theoretical estimates.

Contribution

It provides the most precise Monte Carlo estimates of the critical exponents for the 3D XY universality class by eliminating leading order corrections to scaling.

Findings

Critical exponent ν = 0.6723(3)[8]

Critical exponent η = 0.0381(2)[2]

Enhanced precision over previous estimates

Abstract

We present a Monte Carlo study of the two-component $\phi^4$ model on the simple cubic lattice in three dimensions. By suitable tuning of the coupling constant $\lambda$ we eliminate leading order corrections to scaling. High statistics simulations using finite size scaling techniques yield $\nu=0.6723(3)[8]$ and $\eta=0.0381(2)[2]$, where the statistical and systematical errors are given in the first and second bracket, respectively. These results are more precise than any previous theoretical estimate of the critical exponents for the 3D XY universality class.