Spontaneous breaking of time-reversal symmetry in topological superconductors

Abstract We study the behavior of spinless fermions in superconducting state, in which the phases of the superconducting order parameter depend on the direction of the link. We find that the energy of the superconductor depends on the phase differences of the superconducting order parameter. The sol...

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Main Author:	Igor N. Karnaukhov
Format:	article
Language:	EN
Published:	Nature Portfolio 2017
Subjects:	Medicine R Science Q
Online Access:	https://doaj.org/article/a64d3a74e0784e9bab2d77c963c2c49b
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spelling	oai:doaj.org-article:a64d3a74e0784e9bab2d77c963c2c49b2021-12-02T11:52:36ZSpontaneous breaking of time-reversal symmetry in topological superconductors10.1038/s41598-017-07673-z2045-2322https://doaj.org/article/a64d3a74e0784e9bab2d77c963c2c49b2017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-07673-zhttps://doaj.org/toc/2045-2322Abstract We study the behavior of spinless fermions in superconducting state, in which the phases of the superconducting order parameter depend on the direction of the link. We find that the energy of the superconductor depends on the phase differences of the superconducting order parameter. The solutions for the phases corresponding to the energy minimuma, lead to a topological superconducting state with the nontrivial Chern numbers. We focus our quantitative analysis on the properties of topological states of superconductors with different crystalline symmetry and show that the phase transition in the topological superconducting state is result of spontaneous breaking of time-reversal symmetry in the superconducting state. The peculiarities in the chiral gapless edge modes behavior are studied, the Chern numbers are calculated.Igor N. KarnaukhovNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Igor N. Karnaukhov Spontaneous breaking of time-reversal symmetry in topological superconductors
description	Abstract We study the behavior of spinless fermions in superconducting state, in which the phases of the superconducting order parameter depend on the direction of the link. We find that the energy of the superconductor depends on the phase differences of the superconducting order parameter. The solutions for the phases corresponding to the energy minimuma, lead to a topological superconducting state with the nontrivial Chern numbers. We focus our quantitative analysis on the properties of topological states of superconductors with different crystalline symmetry and show that the phase transition in the topological superconducting state is result of spontaneous breaking of time-reversal symmetry in the superconducting state. The peculiarities in the chiral gapless edge modes behavior are studied, the Chern numbers are calculated.
format	article
author	Igor N. Karnaukhov
author_facet	Igor N. Karnaukhov
author_sort	Igor N. Karnaukhov
title	Spontaneous breaking of time-reversal symmetry in topological superconductors
title_short	Spontaneous breaking of time-reversal symmetry in topological superconductors
title_full	Spontaneous breaking of time-reversal symmetry in topological superconductors
title_fullStr	Spontaneous breaking of time-reversal symmetry in topological superconductors
title_full_unstemmed	Spontaneous breaking of time-reversal symmetry in topological superconductors
title_sort	spontaneous breaking of time-reversal symmetry in topological superconductors
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/a64d3a74e0784e9bab2d77c963c2c49b
work_keys_str_mv	AT igornkarnaukhov spontaneousbreakingoftimereversalsymmetryintopologicalsuperconductors
_version_	1718395002526105600

Spontaneous breaking of time-reversal symmetry in topological superconductors

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