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

Tomoya Hayata; Arata Yamamoto

doi:10.1103/PhysRevB.96.035129

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

Tomoya Hayata, Arata Yamamoto

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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 semipositive Pfaffian. We discuss spontaneous breaking of time-reversal symmetry at finite temperatures.

Original language	English
Article number	035129
Journal	Physical Review B
Volume	96
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevB.96.035129
Publication status	Published - 2017 Jul 17
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.96.035129

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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 semipositive Pfaffian. We discuss spontaneous breaking of time-reversal symmetry at finite temperatures.",

author = "Tomoya Hayata and Arata Yamamoto",

note = "Funding Information: T.H. was supported by JSPS Grant-in-Aid for Scientific Research (Grant No. JP16J02240). A.Y. was supported by JSPS KAKENHI (Grant No. JP15K17624). The numerical simulations were carried out on SX-ACE at Osaka University. Publisher Copyright: {\textcopyright} 2017 American Physical Society.",

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N2 - 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 semipositive Pfaffian. We discuss spontaneous breaking of time-reversal symmetry at finite temperatures.

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 semipositive Pfaffian. We discuss spontaneous breaking of time-reversal symmetry at finite temperatures.

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

Abstract

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