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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/60739
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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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1846781991871053824 |
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12.982451 |