Local density of states in clean two-dimensional superconductor-normal metal-superconductor heterostructures

Motivated by recent advances in the fabrication of Josephson junctions in which the weak link is made of a low-dimensional nonsuperconducting material, we present here a systematic theoretical study of the local density of states (LDOS) in a clean two-dimensional normal metal (N) coupled to two s-wa...

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Detalles Bibliográficos
Autores: Nikolić, D., Belzig, Wolfgang, Cuevas Rodríguez, Juan Carlos
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/715813
Acceso en línea:http://hdl.handle.net/10486/715813
https://dx.doi.org/10.1103/PhysRevResearch.1.033031
Access Level:acceso abierto
Palabra clave:Condensed matter physics
electronics
Física
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spelling Local density of states in clean two-dimensional superconductor-normal metal-superconductor heterostructuresNikolić, D.Belzig, WolfgangCuevas Rodríguez, Juan CarlosCondensed matter physicselectronicsFísicaMotivated by recent advances in the fabrication of Josephson junctions in which the weak link is made of a low-dimensional nonsuperconducting material, we present here a systematic theoretical study of the local density of states (LDOS) in a clean two-dimensional normal metal (N) coupled to two s-wave superconductors (S). To be precise, we employ the quasiclassical theory of superconductivity in the clean limit, based on Eilenberger's equations, to investigate the phase-dependent LDOS as a function of factors such as the length or the width of the junction, a finite reflectivity, and a weak magnetic field. We show how the spectrum of Andreev bound states that appear inside the gap shape the phase-dependent LDOS in short and long junctions. We discuss the circumstances when a gap appears in the LDOS and when the continuum displays a significant phase dependence. The presence of a magnetic flux leads to a complex interference behavior, which is also reflected in the supercurrent-phase relation. Our results agree qualitatively with recent experiments on graphene SNS junctions. Finally, we show how the LDOS is connected to the supercurrent that can flow in these superconducting heterostructures and present an analytical relation between these two basic quantitiesD.N. and W.B. have received funding from the European Union’s Horizon 2020 Research and Innovation Programme under the Marie SkłodowskaCurie Grant Agreement No. 766025 and the DFG through SFB 767. J.C.C. thanks MINECO (Contract No. FIS2017- 84057-P) for financial support as well as the DFG through SFB 767 for sponsoring his stay at the University of Konstanz through a Mercator fellowshipAmerican Physical SocietyDepartamento de Física Teórica de la Materia CondensadaFacultad de Ciencias20192019-10-18research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/715813https://dx.doi.org/10.1103/PhysRevResearch.1.033031reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7158132026-06-23T12:46:27Z
dc.title.none.fl_str_mv Local density of states in clean two-dimensional superconductor-normal metal-superconductor heterostructures
title Local density of states in clean two-dimensional superconductor-normal metal-superconductor heterostructures
spellingShingle Local density of states in clean two-dimensional superconductor-normal metal-superconductor heterostructures
Nikolić, D.
Condensed matter physics
electronics
Física
title_short Local density of states in clean two-dimensional superconductor-normal metal-superconductor heterostructures
title_full Local density of states in clean two-dimensional superconductor-normal metal-superconductor heterostructures
title_fullStr Local density of states in clean two-dimensional superconductor-normal metal-superconductor heterostructures
title_full_unstemmed Local density of states in clean two-dimensional superconductor-normal metal-superconductor heterostructures
title_sort Local density of states in clean two-dimensional superconductor-normal metal-superconductor heterostructures
dc.creator.none.fl_str_mv Nikolić, D.
Belzig, Wolfgang
Cuevas Rodríguez, Juan Carlos
author Nikolić, D.
author_facet Nikolić, D.
Belzig, Wolfgang
Cuevas Rodríguez, Juan Carlos
author_role author
author2 Belzig, Wolfgang
Cuevas Rodríguez, Juan Carlos
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Física Teórica de la Materia Condensada
Facultad de Ciencias
dc.subject.none.fl_str_mv Condensed matter physics
electronics
Física
topic Condensed matter physics
electronics
Física
description Motivated by recent advances in the fabrication of Josephson junctions in which the weak link is made of a low-dimensional nonsuperconducting material, we present here a systematic theoretical study of the local density of states (LDOS) in a clean two-dimensional normal metal (N) coupled to two s-wave superconductors (S). To be precise, we employ the quasiclassical theory of superconductivity in the clean limit, based on Eilenberger's equations, to investigate the phase-dependent LDOS as a function of factors such as the length or the width of the junction, a finite reflectivity, and a weak magnetic field. We show how the spectrum of Andreev bound states that appear inside the gap shape the phase-dependent LDOS in short and long junctions. We discuss the circumstances when a gap appears in the LDOS and when the continuum displays a significant phase dependence. The presence of a magnetic flux leads to a complex interference behavior, which is also reflected in the supercurrent-phase relation. Our results agree qualitatively with recent experiments on graphene SNS junctions. Finally, we show how the LDOS is connected to the supercurrent that can flow in these superconducting heterostructures and present an analytical relation between these two basic quantities
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-10-18
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/715813
https://dx.doi.org/10.1103/PhysRevResearch.1.033031
url http://hdl.handle.net/10486/715813
https://dx.doi.org/10.1103/PhysRevResearch.1.033031
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
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
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