Subtle leakage of a Majorana mode into a quantum dot

Detalhes bibliográficos
Autor(a) principal: Vernek, E.
Data de Publicação: 2014
Outros Autores: Penteado, P. H., Seridonio, A. C. [UNESP], Egues, J. C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevB.89.165314
http://hdl.handle.net/11449/227724
Resumo: We investigate quantum transport through a quantum dot connected to source and drain leads and side coupled to a topological superconducting nanowire (Kitaev chain) sustaining Majorana end modes. Using a recursive Green's-function approach, we determine the local density of states of the system and find that the end Majorana mode of the wire leaks into the dot, thus, emerging as a unique dot level pinned to the Fermi energy εF of the leads. Surprisingly, this resonance pinning, resembling, in this sense, a Kondo resonance, occurs even when the gate-controlled dot level εdot(Vg) is far above or far below εF. The calculated conductance G of the dot exhibits an unambiguous signature for the Majorana end mode of the wire: In essence, an off-resonance dot [εdot(Vg)≠εF], which should have G=0, shows, instead, a conductance e2/2h over a wide range of Vg due to this pinned dot mode. Interestingly, this pinning effect only occurs when the dot level is coupled to a Majorana mode; ordinary fermionic modes (e.g., disorder) in the wire simply split and broaden (if a continuum) the dot level. We discuss experimental scenarios to probe Majorana modes in wires via these leaked/pinned dot modes. © 2014 American Physical Society.
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spelling Subtle leakage of a Majorana mode into a quantum dotWe investigate quantum transport through a quantum dot connected to source and drain leads and side coupled to a topological superconducting nanowire (Kitaev chain) sustaining Majorana end modes. Using a recursive Green's-function approach, we determine the local density of states of the system and find that the end Majorana mode of the wire leaks into the dot, thus, emerging as a unique dot level pinned to the Fermi energy εF of the leads. Surprisingly, this resonance pinning, resembling, in this sense, a Kondo resonance, occurs even when the gate-controlled dot level εdot(Vg) is far above or far below εF. The calculated conductance G of the dot exhibits an unambiguous signature for the Majorana end mode of the wire: In essence, an off-resonance dot [εdot(Vg)≠εF], which should have G=0, shows, instead, a conductance e2/2h over a wide range of Vg due to this pinned dot mode. Interestingly, this pinning effect only occurs when the dot level is coupled to a Majorana mode; ordinary fermionic modes (e.g., disorder) in the wire simply split and broaden (if a continuum) the dot level. We discuss experimental scenarios to probe Majorana modes in wires via these leaked/pinned dot modes. © 2014 American Physical Society.Instituto de Física, Universidade Federal de Uberlândia, Uberlândia, Minas Gerais 38400-902Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos, São Paulo 13560-970Departamento de Física e Química, Universidade Estadual Paulista, Ilha Solteira, São Paulo 15385-000Departamento de Física e Química, Universidade Estadual Paulista, Ilha Solteira, São Paulo 15385-000Universidade Federal de Uberlândia (UFU)Universidade de São Paulo (USP)Universidade Estadual Paulista (UNESP)Vernek, E.Penteado, P. H.Seridonio, A. C. [UNESP]Egues, J. C.2022-04-29T07:14:50Z2022-04-29T07:14:50Z2014-04-30info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevB.89.165314Physical Review B - Condensed Matter and Materials Physics, v. 89, n. 16, 2014.1550-235X1098-0121http://hdl.handle.net/11449/22772410.1103/PhysRevB.89.1653142-s2.0-84899758517Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review B - Condensed Matter and Materials Physicsinfo:eu-repo/semantics/openAccess2024-07-10T14:07:38Zoai:repositorio.unesp.br:11449/227724Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:41:55.003526Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Subtle leakage of a Majorana mode into a quantum dot
title Subtle leakage of a Majorana mode into a quantum dot
spellingShingle Subtle leakage of a Majorana mode into a quantum dot
Vernek, E.
title_short Subtle leakage of a Majorana mode into a quantum dot
title_full Subtle leakage of a Majorana mode into a quantum dot
title_fullStr Subtle leakage of a Majorana mode into a quantum dot
title_full_unstemmed Subtle leakage of a Majorana mode into a quantum dot
title_sort Subtle leakage of a Majorana mode into a quantum dot
author Vernek, E.
author_facet Vernek, E.
Penteado, P. H.
Seridonio, A. C. [UNESP]
Egues, J. C.
author_role author
author2 Penteado, P. H.
Seridonio, A. C. [UNESP]
Egues, J. C.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Federal de Uberlândia (UFU)
Universidade de São Paulo (USP)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Vernek, E.
Penteado, P. H.
Seridonio, A. C. [UNESP]
Egues, J. C.
description We investigate quantum transport through a quantum dot connected to source and drain leads and side coupled to a topological superconducting nanowire (Kitaev chain) sustaining Majorana end modes. Using a recursive Green's-function approach, we determine the local density of states of the system and find that the end Majorana mode of the wire leaks into the dot, thus, emerging as a unique dot level pinned to the Fermi energy εF of the leads. Surprisingly, this resonance pinning, resembling, in this sense, a Kondo resonance, occurs even when the gate-controlled dot level εdot(Vg) is far above or far below εF. The calculated conductance G of the dot exhibits an unambiguous signature for the Majorana end mode of the wire: In essence, an off-resonance dot [εdot(Vg)≠εF], which should have G=0, shows, instead, a conductance e2/2h over a wide range of Vg due to this pinned dot mode. Interestingly, this pinning effect only occurs when the dot level is coupled to a Majorana mode; ordinary fermionic modes (e.g., disorder) in the wire simply split and broaden (if a continuum) the dot level. We discuss experimental scenarios to probe Majorana modes in wires via these leaked/pinned dot modes. © 2014 American Physical Society.
publishDate 2014
dc.date.none.fl_str_mv 2014-04-30
2022-04-29T07:14:50Z
2022-04-29T07:14:50Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1103/PhysRevB.89.165314
Physical Review B - Condensed Matter and Materials Physics, v. 89, n. 16, 2014.
1550-235X
1098-0121
http://hdl.handle.net/11449/227724
10.1103/PhysRevB.89.165314
2-s2.0-84899758517
url http://dx.doi.org/10.1103/PhysRevB.89.165314
http://hdl.handle.net/11449/227724
identifier_str_mv Physical Review B - Condensed Matter and Materials Physics, v. 89, n. 16, 2014.
1550-235X
1098-0121
10.1103/PhysRevB.89.165314
2-s2.0-84899758517
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review B - Condensed Matter and Materials Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
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