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

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.

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• Classification of topological insulators and superconductors in three spatial dimensions
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Cited by in corpus (6)

• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Interacting Majorana Fermions
• Majorana-Hubbard model on the square lattice
• Majorana stripe order on the surface of a three-dimensional topological insulator
• Exactly solvable Majorana-Anderson impurity models
• Lattice simulation with the Majorana positivity