Monte Carlo study of phase transitions out of Symmetry-Enriched Topological phases of bosons in two dimensions

TL;DR

This paper uses sign-free Monte Carlo simulations to analyze phase transitions between topologically distinct phases in a two-species boson model with mutual statistics, revealing continuous transitions and critical exponents.

Contribution

It introduces a Monte Carlo study of phase transitions in a fractionalized bosonic topological phase with mutual statistics, providing new insights into their critical behavior.

Findings

Transitions are continuous between topological and trivial phases

Critical exponents are measured for the phase transitions

The model realizes a fractionalized bosonic quantum Hall effect

Abstract

We study a statistical mechanics model of two species of bosons with mutual statistics $\theta=2\pi/n$ in (2+1) dimensions. This model realizes a fractionalized topological phase of bosons, which is a fractionalized version of the boson integer quantum Hall effect. The model can be studied with sign-free Monte Carlo simulations. We study the phase transitions between the fractionalized topological phase and a trivial insulator, and between different topological phases. We find that these transitions are continuous, and we measure their critical exponents.