Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductors

We study the localization and oscillation properties of the Majorana fermions that arise in a two-dimensional electron gas (2DEG) with spin-orbit coupling (SOC) and a Zeeman field coupled with a d-wave superconductor. Despite the angular dependence of the d-wave pairing, localization and oscillation...

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Authors: Ortiz Martín, Laura, Varona Angulo, Santiago, Martín-Delgado Alcántara, Miguel Ángel
Format: article
Publication Date:2018
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/12012
Online Access:https://hdl.handle.net/20.500.14352/12012
Access Level:Open access
Keyword:53
Quantum computation
Conductance
Anyons.
Física-Modelos matemáticos
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spelling Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductorsOrtiz Martín, LauraVarona Angulo, SantiagoMartín-Delgado Alcántara, Miguel Ángel53Quantum computationConductanceAnyons.Física-Modelos matemáticosWe study the localization and oscillation properties of the Majorana fermions that arise in a two-dimensional electron gas (2DEG) with spin-orbit coupling (SOC) and a Zeeman field coupled with a d-wave superconductor. Despite the angular dependence of the d-wave pairing, localization and oscillation properties are found to be similar to the ones seen in conventional s-wave superconductors. In addition, we study a microscopic lattice version of the previous system that can be characterized by a topological invariant. We derive its real space representation that involves nearest and next-to-nearest-neighbors pairing. Finally, we show that the emerging chiral Majorana fermions are indeed robust against static disorder. This analysis has potential applications to quantum simulations and experiments in high-T_(c) superconductors.American Physical SocietyUniversidad Complutense de Madrid20182018-02-0120182018-02-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/12012reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/120122026-06-02T12:44:21Z
dc.title.none.fl_str_mv Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductors
title Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductors
spellingShingle Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductors
Ortiz Martín, Laura
53
Quantum computation
Conductance
Anyons.
Física-Modelos matemáticos
title_short Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductors
title_full Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductors
title_fullStr Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductors
title_full_unstemmed Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductors
title_sort Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d-wave superconductors
dc.creator.none.fl_str_mv Ortiz Martín, Laura
Varona Angulo, Santiago
Martín-Delgado Alcántara, Miguel Ángel
author Ortiz Martín, Laura
author_facet Ortiz Martín, Laura
Varona Angulo, Santiago
Martín-Delgado Alcántara, Miguel Ángel
author_role author
author2 Varona Angulo, Santiago
Martín-Delgado Alcántara, Miguel Ángel
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 53
Quantum computation
Conductance
Anyons.
Física-Modelos matemáticos
topic 53
Quantum computation
Conductance
Anyons.
Física-Modelos matemáticos
description We study the localization and oscillation properties of the Majorana fermions that arise in a two-dimensional electron gas (2DEG) with spin-orbit coupling (SOC) and a Zeeman field coupled with a d-wave superconductor. Despite the angular dependence of the d-wave pairing, localization and oscillation properties are found to be similar to the ones seen in conventional s-wave superconductors. In addition, we study a microscopic lattice version of the previous system that can be characterized by a topological invariant. We derive its real space representation that involves nearest and next-to-nearest-neighbors pairing. Finally, we show that the emerging chiral Majorana fermions are indeed robust against static disorder. This analysis has potential applications to quantum simulations and experiments in high-T_(c) superconductors.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-02-01
2018
2018-02-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/12012
url https://hdl.handle.net/20.500.14352/12012
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
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:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,198674

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