# Quantum Monte Carlo simulation of a two-dimensional Majorana lattice model

## TL;DR

This paper employs quantum Monte Carlo simulations to investigate a two-dimensional Majorana fermion lattice, revealing insights into time-reversal symmetry breaking in topological superconductors.

## Contribution

It introduces an ab-initio quantum Monte Carlo approach for Majorana systems with a semi-positive Pfaffian measure, advancing simulation techniques for topological phases.

## Key findings

- Spontaneous time-reversal symmetry breaking observed at finite temperature.
- Successful implementation of quantum Monte Carlo for Majorana fermions with a semi-positive measure.
- Provides a new computational framework for studying topological superconductors.

## Abstract

We study interacting Majorana fermions in two dimensions as a low-energy effective model of a vortex lattice in two-dimensional time-reversal-invariant topological superconductors. For that purpose, we implement ab-initio quantum Monte Carlo simulation to the Majorana fermion system in which the path-integral measure is given by a semi-positive Pfaffian. We discuss spontaneous breaking of time-reversal symmetry at finite temperature.