Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors

Heterostructures of magnetic topological insulators (MTIs) and superconductors (SCs) in two-dimensional (2D) slab and one-dimensional (1D) nanoribbon geometries have been predicted to host, respectively, chiral Majorana edge states (CMESs) and Majorana bound states (MBSs). We study the topological p...

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Autores: Legendre, Julian, Zsurka, Eduárd, Di Miceli, Daniele, Serra, Llorenç, Moors, Kristof, Schmidt, Thomas L.
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2024
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/381650
Acesso em linha:http://hdl.handle.net/10261/381650
Access Level:acceso abierto
Palavra-chave:Surface states
Symmetry protected topological states
Topological phase transition
Topological superconductors
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spelling Topological properties of finite-size heterostructures of magnetic topological insulators and superconductorsLegendre, JulianZsurka, EduárdDi Miceli, DanieleSerra, LlorençMoors, KristofSchmidt, Thomas L.Surface statesSymmetry protected topological statesTopological phase transitionTopological superconductorsHeterostructures of magnetic topological insulators (MTIs) and superconductors (SCs) in two-dimensional (2D) slab and one-dimensional (1D) nanoribbon geometries have been predicted to host, respectively, chiral Majorana edge states (CMESs) and Majorana bound states (MBSs). We study the topological properties of such MTI/SC heterostructures upon variation of the geometry from wide slabs to quasi-1D nanoribbon systems and as a function of the chemical potential, the magnetic doping, and the induced superconducting pairing potential. To do so, we construct effective symmetry-constrained low-energy Hamiltonians accounting for the real-space confinement. For a nanoribbon geometry with finite width and length, we observe different phases characterized by CMESs, MBSs, as well as coexisting CMESs and MBSs, as the chemical potential, the magnetic doping, and/or the width are varied.This project is financially supported by the QuantERA grant MAGMA, by the National Research Fund Luxembourg under Grant No. INTER/QUANTERA21/16447820/MAGMA, by the German Research Foundation under Grant No. 491798118, by MCIN/AEI/10.13039/501100011033 under Project No. PCI2022-132927, and by the European Union NextGenerationEU/PRTR. L.S. acknowledges support from Grants No. PID2020-117347GB-I00 funded by MCIN/AEI/10.13039/501100011033 and No. PDR2020-12 funded by GOIB. K.M. acknowledges financial support by the Bavarian Ministry of Economic Affairs, Regional Development, and Energy under Grant No. 07 02/686 58/1/21 1/22 2/23 and by the German Federal Ministry of Education and Research (BMBF) via the Quantum Future project “MajoranaChips” (Grant No. 13N15264) within the funding program Photonic Research Germany.Peer reviewedAmerican Physical SocietyFonds National de la Recherche LuxembourgGerman Research FoundationMinisterio de Ciencia e Innovación (España)Agencia Estatal de Investigación (España)European CommissionGovern de les Illes BalearsBavarian Ministry of Economic Affairs, Energy and TechnologyFederal Ministry of Education and Research (Germany)Serra, Llorenç [0000-0001-8496-7873]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252024info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://hdl.handle.net/10261/381650reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PCI2022-132927info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-117347GB-I00http://dx.doi.org/10.1103/PhysRevB.110.075426Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3816502026-05-22T06:33:51Z
dc.title.none.fl_str_mv Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors
title Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors
spellingShingle Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors
Legendre, Julian
Surface states
Symmetry protected topological states
Topological phase transition
Topological superconductors
title_short Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors
title_full Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors
title_fullStr Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors
title_full_unstemmed Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors
title_sort Topological properties of finite-size heterostructures of magnetic topological insulators and superconductors
dc.creator.none.fl_str_mv Legendre, Julian
Zsurka, Eduárd
Di Miceli, Daniele
Serra, Llorenç
Moors, Kristof
Schmidt, Thomas L.
author Legendre, Julian
author_facet Legendre, Julian
Zsurka, Eduárd
Di Miceli, Daniele
Serra, Llorenç
Moors, Kristof
Schmidt, Thomas L.
author_role author
author2 Zsurka, Eduárd
Di Miceli, Daniele
Serra, Llorenç
Moors, Kristof
Schmidt, Thomas L.
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Fonds National de la Recherche Luxembourg
German Research Foundation
Ministerio de Ciencia e Innovación (España)
Agencia Estatal de Investigación (España)
European Commission
Govern de les Illes Balears
Bavarian Ministry of Economic Affairs, Energy and Technology
Federal Ministry of Education and Research (Germany)
Serra, Llorenç [0000-0001-8496-7873]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Surface states
Symmetry protected topological states
Topological phase transition
Topological superconductors
topic Surface states
Symmetry protected topological states
Topological phase transition
Topological superconductors
description Heterostructures of magnetic topological insulators (MTIs) and superconductors (SCs) in two-dimensional (2D) slab and one-dimensional (1D) nanoribbon geometries have been predicted to host, respectively, chiral Majorana edge states (CMESs) and Majorana bound states (MBSs). We study the topological properties of such MTI/SC heterostructures upon variation of the geometry from wide slabs to quasi-1D nanoribbon systems and as a function of the chemical potential, the magnetic doping, and the induced superconducting pairing potential. To do so, we construct effective symmetry-constrained low-energy Hamiltonians accounting for the real-space confinement. For a nanoribbon geometry with finite width and length, we observe different phases characterized by CMESs, MBSs, as well as coexisting CMESs and MBSs, as the chemical potential, the magnetic doping, and/or the width are varied.
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/381650
url http://hdl.handle.net/10261/381650
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PCI2022-132927
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-117347GB-I00
http://dx.doi.org/10.1103/PhysRevB.110.075426
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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