Quantum monte carlo simulation of a two-dimensional majorana lattice model

Tomoya Hayata; Arata Yamamoto

Quantum monte carlo simulation of a two-dimensional majorana lattice model

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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 funite temperature.

Original language	English
Journal	Unknown Journal
Publication status	Published - 2017 Apr 29
Externally published	Yes

ASJC Scopus subject areas

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title = "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 funite temperature.",

author = "Tomoya Hayata and Arata Yamamoto",

year = "2017",

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day = "29",

language = "English",

journal = "Mathematical Social Sciences",

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AU - Yamamoto, Arata

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AB - 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 funite temperature.

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JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

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