Superconducting edge states in a topological insulator

Abstract We study the stability of multiple conducting edge states in a topological insulator against perturbations allowed by the time-reversal symmetry. A system is modeled as a multi-channel Luttinger liquid, with the number of channels equal to the number of Kramers doublets at the edge. Assumin...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	I. V. Yurkevich, V. Kagalovsky
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/54709748e4564def81b888d0227f6fde
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:54709748e4564def81b888d0227f6fde
record_format	dspace
spelling	oai:doaj.org-article:54709748e4564def81b888d0227f6fde2021-12-02T17:24:11ZSuperconducting edge states in a topological insulator10.1038/s41598-021-97558-z2045-2322https://doaj.org/article/54709748e4564def81b888d0227f6fde2021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-97558-zhttps://doaj.org/toc/2045-2322Abstract We study the stability of multiple conducting edge states in a topological insulator against perturbations allowed by the time-reversal symmetry. A system is modeled as a multi-channel Luttinger liquid, with the number of channels equal to the number of Kramers doublets at the edge. Assuming strong interactions and weak disorder, we first formulate a low-energy effective theory for a clean translation invariant system and then include the disorder terms allowed by the time-reversal symmetry. In a clean system with N Kramers doublets, N − 1 edge states are gapped by Josephson couplings and the single remaining gapless mode describes collective motion of Cooper pairs synchronous across the channels. Disorder perturbation in this regime, allowed by the time reversal symmetry is a simultaneous backscattering of particles in all N channels. Its relevance depends strongly on the parity if the number of channel N is not very large. Our main result is that disorder becomes irrelevant with the increase of the number of edge modes leading to the stability of the edge states superconducting regime even for repulsive interactions.I. V. YurkevichV. KagalovskyNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q I. V. Yurkevich V. Kagalovsky Superconducting edge states in a topological insulator
description	Abstract We study the stability of multiple conducting edge states in a topological insulator against perturbations allowed by the time-reversal symmetry. A system is modeled as a multi-channel Luttinger liquid, with the number of channels equal to the number of Kramers doublets at the edge. Assuming strong interactions and weak disorder, we first formulate a low-energy effective theory for a clean translation invariant system and then include the disorder terms allowed by the time-reversal symmetry. In a clean system with N Kramers doublets, N − 1 edge states are gapped by Josephson couplings and the single remaining gapless mode describes collective motion of Cooper pairs synchronous across the channels. Disorder perturbation in this regime, allowed by the time reversal symmetry is a simultaneous backscattering of particles in all N channels. Its relevance depends strongly on the parity if the number of channel N is not very large. Our main result is that disorder becomes irrelevant with the increase of the number of edge modes leading to the stability of the edge states superconducting regime even for repulsive interactions.
format	article
author	I. V. Yurkevich V. Kagalovsky
author_facet	I. V. Yurkevich V. Kagalovsky
author_sort	I. V. Yurkevich
title	Superconducting edge states in a topological insulator
title_short	Superconducting edge states in a topological insulator
title_full	Superconducting edge states in a topological insulator
title_fullStr	Superconducting edge states in a topological insulator
title_full_unstemmed	Superconducting edge states in a topological insulator
title_sort	superconducting edge states in a topological insulator
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/54709748e4564def81b888d0227f6fde
work_keys_str_mv	AT ivyurkevich superconductingedgestatesinatopologicalinsulator AT vkagalovsky superconductingedgestatesinatopologicalinsulator
_version_	1718380909518913536

Superconducting edge states in a topological insulator

Ejemplares similares