Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states

Heterostructures comprised of a magnetic topological insulator (MTI) placed in the proximity of an -wave superconductor have emerged as a platform for the practical realization of Majorana bound states (MBSs). More specifically, it has been theoretically predicted that MBS can appear in proximitized...

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Detalles Bibliográficos
Autores: Zsurka, Eduárd, Di Miceli, Daniele, Legendre, Julian, Serra, Llorenç, Grützmacher, Detlev, Schmidt, Thomas L., Moors, Kristof
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/423033
Acceso en línea:http://hdl.handle.net/10261/423033
http://arxiv.org/abs/2505.02163v2
Access Level:acceso abierto
Palabra clave:Edge states
Proximity effect
Superconducting gap
Topological insulators
Topological superconductors
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spelling Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound statesZsurka, EduárdDi Miceli, DanieleLegendre, JulianSerra, LlorençGrützmacher, DetlevSchmidt, Thomas L.Moors, KristofEdge statesProximity effectSuperconducting gapTopological insulatorsTopological superconductorsHeterostructures comprised of a magnetic topological insulator (MTI) placed in the proximity of an -wave superconductor have emerged as a platform for the practical realization of Majorana bound states (MBSs). More specifically, it has been theoretically predicted that MBS can appear in proximitized MTI nanoribbons (PNRs) in the quantum anomalous Hall regime. As with all MBS platforms, disorder and device imperfections can be detrimental to the formation of robust and well-separated MBSs that are suitable for fusion and braiding experiments. Here, we identify the optimal conditions for obtaining a topological superconducting gap that is robust against disorder, with spatially separated stable MBSs in PNRs, and introduce a figure of merit that encompasses these conditions. Particular attention is given to the thin-film limit of magnetic topological insulators (MTIs), where the hybridization of the surface states cannot be neglected, and to the role of electron-hole asymmetry in the low-energy physics of the system. Based on our numerical results, we find that (1) MTI thin films that are normal (rather than quantum spin Hall) insulators for zero magnetization are favorable, (2) strong electron-hole asymmetry causes the stability and robustness of MBS to be very different for chemical potentials above or below the Dirac point, and (3) the magnetization strength should preferably be comparable to the hybridization or confinement energy of the surface states, whichever is largest.This work is supported by the QuantERA grant MAGMA, by the German Research Foundation under Grant No. 491798118, and by MCIN/AEI/10.13039/501100011033 and the European Union Next Generation EU/PRTR under Project No. PCI2022-132927. K.M. acknowledges the financial support by the Bavarian Ministry of Economic Affairs, Regional Development and Energy within Bavaria's High-Tech Agenda Project “Bausteine für das Quantencomputing auf Basis topologischer Materialien mit experimentellen und theoretischen Ansätzen” (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 SocietyGerman Research FoundationMinisterio de Ciencia e Innovación (España)Agencia Estatal de Investigación (España)European CommissionBavarian Ministry of Economic Affairs, Energy and TechnologyFederal Ministry of Education and Research (Germany)Zsurka, Eduárd [0000-0001-6265-1448]Di Miceli, Daniele [0000-0003-2124-1690]Legendre, Julian [0000-0002-9456-7213]Serra, Llorenç [0000-0001-8496-7873]Grützmacher, Detlev [0000-0001-6290-9672]Schmidt, Thomas L. [0000-0002-1473-3913]Moors, Kristof [0000-0002-8682-5286]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202620262025info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/423033http://arxiv.org/abs/2505.02163v2reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)InglésThe data that support the findings of this article are openly available https://github.com/ezsurka/mti-nanoribbon-fomZsurka, Eduárd; Di Miceli, Daniele; Legendre, Julian; Serra, Llorenç; Grützmacher, Detlev; Schmidt, Thomas L.; Moors, Kristof; 2025; Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states [Preprint]; arXiv; v2; https://doi.org/10.48550/arXiv.2505.02163https://doi.org/10.1103/x737-p9mqSíinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/4230332026-05-22T06:33:51Z
dc.title.none.fl_str_mv Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
title Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
spellingShingle Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
Zsurka, Eduárd
Edge states
Proximity effect
Superconducting gap
Topological insulators
Topological superconductors
title_short Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
title_full Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
title_fullStr Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
title_full_unstemmed Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
title_sort Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
dc.creator.none.fl_str_mv Zsurka, Eduárd
Di Miceli, Daniele
Legendre, Julian
Serra, Llorenç
Grützmacher, Detlev
Schmidt, Thomas L.
Moors, Kristof
author Zsurka, Eduárd
author_facet Zsurka, Eduárd
Di Miceli, Daniele
Legendre, Julian
Serra, Llorenç
Grützmacher, Detlev
Schmidt, Thomas L.
Moors, Kristof
author_role author
author2 Di Miceli, Daniele
Legendre, Julian
Serra, Llorenç
Grützmacher, Detlev
Schmidt, Thomas L.
Moors, Kristof
author2_role author
author
author
author
author
author
dc.contributor.none.fl_str_mv German Research Foundation
Ministerio de Ciencia e Innovación (España)
Agencia Estatal de Investigación (España)
European Commission
Bavarian Ministry of Economic Affairs, Energy and Technology
Federal Ministry of Education and Research (Germany)
Zsurka, Eduárd [0000-0001-6265-1448]
Di Miceli, Daniele [0000-0003-2124-1690]
Legendre, Julian [0000-0002-9456-7213]
Serra, Llorenç [0000-0001-8496-7873]
Grützmacher, Detlev [0000-0001-6290-9672]
Schmidt, Thomas L. [0000-0002-1473-3913]
Moors, Kristof [0000-0002-8682-5286]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Edge states
Proximity effect
Superconducting gap
Topological insulators
Topological superconductors
topic Edge states
Proximity effect
Superconducting gap
Topological insulators
Topological superconductors
description Heterostructures comprised of a magnetic topological insulator (MTI) placed in the proximity of an -wave superconductor have emerged as a platform for the practical realization of Majorana bound states (MBSs). More specifically, it has been theoretically predicted that MBS can appear in proximitized MTI nanoribbons (PNRs) in the quantum anomalous Hall regime. As with all MBS platforms, disorder and device imperfections can be detrimental to the formation of robust and well-separated MBSs that are suitable for fusion and braiding experiments. Here, we identify the optimal conditions for obtaining a topological superconducting gap that is robust against disorder, with spatially separated stable MBSs in PNRs, and introduce a figure of merit that encompasses these conditions. Particular attention is given to the thin-film limit of magnetic topological insulators (MTIs), where the hybridization of the surface states cannot be neglected, and to the role of electron-hole asymmetry in the low-energy physics of the system. Based on our numerical results, we find that (1) MTI thin films that are normal (rather than quantum spin Hall) insulators for zero magnetization are favorable, (2) strong electron-hole asymmetry causes the stability and robustness of MBS to be very different for chemical potentials above or below the Dirac point, and (3) the magnetization strength should preferably be comparable to the hybridization or confinement energy of the surface states, whichever is largest.
publishDate 2025
dc.date.none.fl_str_mv 2025
2026
2026
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/423033
http://arxiv.org/abs/2505.02163v2
url http://hdl.handle.net/10261/423033
http://arxiv.org/abs/2505.02163v2
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv The data that support the findings of this article are openly available https://github.com/ezsurka/mti-nanoribbon-fom
Zsurka, Eduárd; Di Miceli, Daniele; Legendre, Julian; Serra, Llorenç; Grützmacher, Detlev; Schmidt, Thomas L.; Moors, Kristof; 2025; Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states [Preprint]; arXiv; v2; https://doi.org/10.48550/arXiv.2505.02163
https://doi.org/10.1103/x737-p9mq
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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