Interaction-induced edge states in anisotropic non-Fermi liquids

Abstract We devise an approach to calculation of scaling dimensions of generic operators describing scattering within multi-channel Luttinger liquid. The local impurity scattering in arbitrary configuration of conducting and insulating channels is investigated and the problem is reduced to a single...

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Autor principal:	I. V. Yurkevich
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/eca29e91e2374784a5815b789e18210f
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spelling	oai:doaj.org-article:eca29e91e2374784a5815b789e18210f2021-12-02T12:32:32ZInteraction-induced edge states in anisotropic non-Fermi liquids10.1038/s41598-017-03823-52045-2322https://doaj.org/article/eca29e91e2374784a5815b789e18210f2017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03823-5https://doaj.org/toc/2045-2322Abstract We devise an approach to calculation of scaling dimensions of generic operators describing scattering within multi-channel Luttinger liquid. The local impurity scattering in arbitrary configuration of conducting and insulating channels is investigated and the problem is reduced to a single algebraic matrix equation. The application to a semi-infinite array of chains described by Luttinger liquid models demonstrates that for a weak inter-chain hybridisation and intra-channel electron-electron attraction the edge wire is robust against disorder whereas bulk wires, on contrary, become insulating in some region of inter-chain interaction parameters. This result proves that the edge states may exist in disordered anisotropic strongly correlated systems without time-reversal symmetry breaking or spin-orbit interaction and provide quantized low-temperature transport.I. V. YurkevichNature 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 I. V. Yurkevich Interaction-induced edge states in anisotropic non-Fermi liquids
description	Abstract We devise an approach to calculation of scaling dimensions of generic operators describing scattering within multi-channel Luttinger liquid. The local impurity scattering in arbitrary configuration of conducting and insulating channels is investigated and the problem is reduced to a single algebraic matrix equation. The application to a semi-infinite array of chains described by Luttinger liquid models demonstrates that for a weak inter-chain hybridisation and intra-channel electron-electron attraction the edge wire is robust against disorder whereas bulk wires, on contrary, become insulating in some region of inter-chain interaction parameters. This result proves that the edge states may exist in disordered anisotropic strongly correlated systems without time-reversal symmetry breaking or spin-orbit interaction and provide quantized low-temperature transport.
format	article
author	I. V. Yurkevich
author_facet	I. V. Yurkevich
author_sort	I. V. Yurkevich
title	Interaction-induced edge states in anisotropic non-Fermi liquids
title_short	Interaction-induced edge states in anisotropic non-Fermi liquids
title_full	Interaction-induced edge states in anisotropic non-Fermi liquids
title_fullStr	Interaction-induced edge states in anisotropic non-Fermi liquids
title_full_unstemmed	Interaction-induced edge states in anisotropic non-Fermi liquids
title_sort	interaction-induced edge states in anisotropic non-fermi liquids
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/eca29e91e2374784a5815b789e18210f
work_keys_str_mv	AT ivyurkevich interactioninducededgestatesinanisotropicnonfermiliquids
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Interaction-induced edge states in anisotropic non-Fermi liquids

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