Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups

Autores
Arrachea, Liliana del Carmen
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We generalize the representation of the real-time Green's functions introduced by Langreth and Nordlander [Phys. Rev. B 43, 2541 (1991)] and Meir and Wingreen [Phys. Rev. Lett. 68, 2512 (1992)] in stationary quantum transport in order to study problems with hybrid structures containing normal (N) and superconducting (S) pieces without introducing Nambu representation. We illustrate the treatment in a S-N junction under a stationary bias. We derive expressions for the normal and Andreev transmission functions, and we show the equivalence between these expressions and Blonder-Tinkham-Klapwijk formulation. Finally, we investigate in detail the behavior of the equilibrium currents in a normal ring threaded by a magnetic flux with attached superconducting wires at equilibrium. We analyze the flux sensitivity of the Andreev states, and we show that their response is equivalent to the one corresponding to the Cooper pairs with momentum q=0 in an isolated superconducting ring. © 2009 The American Physical Society.
Fil: Arrachea, Liliana del Carmen. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Materia
Quantum
Transport
Heterostructures
Ns
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/60739
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setupsArrachea, Liliana del CarmenQuantumTransportHeterostructuresNshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We generalize the representation of the real-time Green's functions introduced by Langreth and Nordlander [Phys. Rev. B 43, 2541 (1991)] and Meir and Wingreen [Phys. Rev. Lett. 68, 2512 (1992)] in stationary quantum transport in order to study problems with hybrid structures containing normal (N) and superconducting (S) pieces without introducing Nambu representation. We illustrate the treatment in a S-N junction under a stationary bias. We derive expressions for the normal and Andreev transmission functions, and we show the equivalence between these expressions and Blonder-Tinkham-Klapwijk formulation. Finally, we investigate in detail the behavior of the equilibrium currents in a normal ring threaded by a magnetic flux with attached superconducting wires at equilibrium. We analyze the flux sensitivity of the Andreev states, and we show that their response is equivalent to the one corresponding to the Cooper pairs with momentum q=0 in an isolated superconducting ring. © 2009 The American Physical Society.Fil: Arrachea, Liliana del Carmen. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaAmerican Physical Society2009-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/60739Arrachea, Liliana del Carmen; Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 79; 10; 12-2009; 1045-10571098-0121CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.79.104513info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:35:38Zoai:ri.conicet.gov.ar:11336/60739instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:35:38.396CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups
title Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups
spellingShingle Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups
Arrachea, Liliana del Carmen
Quantum
Transport
Heterostructures
Ns
title_short Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups
title_full Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups
title_fullStr Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups
title_full_unstemmed Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups
title_sort Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups
dc.creator.none.fl_str_mv Arrachea, Liliana del Carmen
author Arrachea, Liliana del Carmen
author_facet Arrachea, Liliana del Carmen
author_role author
dc.subject.none.fl_str_mv Quantum
Transport
Heterostructures
Ns
topic Quantum
Transport
Heterostructures
Ns
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We generalize the representation of the real-time Green's functions introduced by Langreth and Nordlander [Phys. Rev. B 43, 2541 (1991)] and Meir and Wingreen [Phys. Rev. Lett. 68, 2512 (1992)] in stationary quantum transport in order to study problems with hybrid structures containing normal (N) and superconducting (S) pieces without introducing Nambu representation. We illustrate the treatment in a S-N junction under a stationary bias. We derive expressions for the normal and Andreev transmission functions, and we show the equivalence between these expressions and Blonder-Tinkham-Klapwijk formulation. Finally, we investigate in detail the behavior of the equilibrium currents in a normal ring threaded by a magnetic flux with attached superconducting wires at equilibrium. We analyze the flux sensitivity of the Andreev states, and we show that their response is equivalent to the one corresponding to the Cooper pairs with momentum q=0 in an isolated superconducting ring. © 2009 The American Physical Society.
Fil: Arrachea, Liliana del Carmen. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
description We generalize the representation of the real-time Green's functions introduced by Langreth and Nordlander [Phys. Rev. B 43, 2541 (1991)] and Meir and Wingreen [Phys. Rev. Lett. 68, 2512 (1992)] in stationary quantum transport in order to study problems with hybrid structures containing normal (N) and superconducting (S) pieces without introducing Nambu representation. We illustrate the treatment in a S-N junction under a stationary bias. We derive expressions for the normal and Andreev transmission functions, and we show the equivalence between these expressions and Blonder-Tinkham-Klapwijk formulation. Finally, we investigate in detail the behavior of the equilibrium currents in a normal ring threaded by a magnetic flux with attached superconducting wires at equilibrium. We analyze the flux sensitivity of the Andreev states, and we show that their response is equivalent to the one corresponding to the Cooper pairs with momentum q=0 in an isolated superconducting ring. © 2009 The American Physical Society.
publishDate 2009
dc.date.none.fl_str_mv 2009-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/60739
Arrachea, Liliana del Carmen; Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 79; 10; 12-2009; 1045-1057
1098-0121
CONICET Digital
CONICET
url http://hdl.handle.net/11336/60739
identifier_str_mv Arrachea, Liliana del Carmen; Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires: A Green's function approach for multiterminal setups; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 79; 10; 12-2009; 1045-1057
1098-0121
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.79.104513
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
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:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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