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

@article{Hayata2017QuantumMC,
title={Quantum Monte Carlo simulation of a two-dimensional Majorana lattice model},
author={Tomoya Hayata and Arata Yamamoto},
journal={Physical Review B},
year={2017},
volume={96}
}

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.

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