Persistent current in 2D topological superconductors

Abstract A junction between two boundaries of a topological superconductor (TSC), mediated by localized edge modes of Majorana fermions, is investigated. The tunneling of fermions across the junction depends on the magnetic flux. It breaks the time-reversal symmetry at the boundary of the sample. Th...

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Autor principal:	Igor N. Karnaukhov
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/d417e224ced24f2884ee68e7e1a020d6
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spelling	oai:doaj.org-article:d417e224ced24f2884ee68e7e1a020d62021-12-02T12:31:53ZPersistent current in 2D topological superconductors10.1038/s41598-017-07492-22045-2322https://doaj.org/article/d417e224ced24f2884ee68e7e1a020d62017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-07492-2https://doaj.org/toc/2045-2322Abstract A junction between two boundaries of a topological superconductor (TSC), mediated by localized edge modes of Majorana fermions, is investigated. The tunneling of fermions across the junction depends on the magnetic flux. It breaks the time-reversal symmetry at the boundary of the sample. The persistent current is determined by the emergence of Majorana edge modes. The structure of the edge modes depends on the magnitude of the tunneling amplitude across the junction. It is shown that there are two different regimes, which correspond to strong and weak tunneling of Majorana fermions, distinctive in the persistent current behavior. In a strong tunneling regime, the fermion parity of edge modes is not conserved and the persistent current is a 2π-periodic function of the magnetic flux. When the tunneling is weak the chiral Majorana states, which are propagating along the edges have the same fermion parity. They form a 4π-phase periodic persistent current along the boundaries. The regions in the space of parameters, which correspond to the emergence of 2π- and of 4π-harmonics, are numerically determined. The peculiarities in the persistent current behavior are studied.Igor N. KarnaukhovNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Igor N. Karnaukhov Persistent current in 2D topological superconductors
description	Abstract A junction between two boundaries of a topological superconductor (TSC), mediated by localized edge modes of Majorana fermions, is investigated. The tunneling of fermions across the junction depends on the magnetic flux. It breaks the time-reversal symmetry at the boundary of the sample. The persistent current is determined by the emergence of Majorana edge modes. The structure of the edge modes depends on the magnitude of the tunneling amplitude across the junction. It is shown that there are two different regimes, which correspond to strong and weak tunneling of Majorana fermions, distinctive in the persistent current behavior. In a strong tunneling regime, the fermion parity of edge modes is not conserved and the persistent current is a 2π-periodic function of the magnetic flux. When the tunneling is weak the chiral Majorana states, which are propagating along the edges have the same fermion parity. They form a 4π-phase periodic persistent current along the boundaries. The regions in the space of parameters, which correspond to the emergence of 2π- and of 4π-harmonics, are numerically determined. The peculiarities in the persistent current behavior are studied.
format	article
author	Igor N. Karnaukhov
author_facet	Igor N. Karnaukhov
author_sort	Igor N. Karnaukhov
title	Persistent current in 2D topological superconductors
title_short	Persistent current in 2D topological superconductors
title_full	Persistent current in 2D topological superconductors
title_fullStr	Persistent current in 2D topological superconductors
title_full_unstemmed	Persistent current in 2D topological superconductors
title_sort	persistent current in 2d topological superconductors
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/d417e224ced24f2884ee68e7e1a020d6
work_keys_str_mv	AT igornkarnaukhov persistentcurrentin2dtopologicalsuperconductors
_version_	1718394245676531712

Persistent current in 2D topological superconductors

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