Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions

Autores
Peralta Gavensky, Lucila; Usaj, Gonzalo; Feinberg, D.; Balseiro, Carlos Antonio
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We propose a protocol to locally detect the Berry curvature of the ground state of a three-terminal Josephson junction with a quantum dot based on a synchronic detection of the currents flowing into the reservoir leads when an ac modulation is applied in the device. This local gauge invariant quantity is expressed in terms of the instantaneous Green’s function of the Bogoliubov–de Gennes Hamiltonian, and thus correctly accounts for the topological contribution from both the quasiparticle continuum and the Andreev bound states of the junction. We analyze the contribution to the Berry curvature from the latter by introducing an effective low-energy model. In addition, we propose to induce topological properties in the system by breaking time-reversal symmetry with a microwave field in the large frequency nonresonant regime. In the last case, the Floquet-Andreev levels are the ones that determine the topological structure of the junction, which is formally equivalent to a two-dimensional honeycomb Haldane lattice and provides a realization of this celebrated model in a solid state device. A relation between the Floquet Berry curvature and the transconductance of the driven system is derived.
Fil: Peralta Gavensky, Lucila. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Usaj, Gonzalo. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Feinberg, D.. Centre National de la Recherche Scientifique; Francia. Universite Grenoble Alpes; Francia
Fil: Balseiro, Carlos Antonio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Materia
Quantum Transport
Floquet Systems
Josephson junctions
Topological Materials
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:11336/125536
Acceder
id CONICETDig_c2fe322b965a0a22abed6d8b4915ecb2
oai_identifier_str oai:ri.conicet.gov.ar:11336/125536
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctionsPeralta Gavensky, LucilaUsaj, GonzaloFeinberg, D.Balseiro, Carlos AntonioQuantum TransportFloquet SystemsJosephson junctionsTopological Materialshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We propose a protocol to locally detect the Berry curvature of the ground state of a three-terminal Josephson junction with a quantum dot based on a synchronic detection of the currents flowing into the reservoir leads when an ac modulation is applied in the device. This local gauge invariant quantity is expressed in terms of the instantaneous Green’s function of the Bogoliubov–de Gennes Hamiltonian, and thus correctly accounts for the topological contribution from both the quasiparticle continuum and the Andreev bound states of the junction. We analyze the contribution to the Berry curvature from the latter by introducing an effective low-energy model. In addition, we propose to induce topological properties in the system by breaking time-reversal symmetry with a microwave field in the large frequency nonresonant regime. In the last case, the Floquet-Andreev levels are the ones that determine the topological structure of the junction, which is formally equivalent to a two-dimensional honeycomb Haldane lattice and provides a realization of this celebrated model in a solid state device. A relation between the Floquet Berry curvature and the transconductance of the driven system is derived.Fil: Peralta Gavensky, Lucila. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Usaj, Gonzalo. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Feinberg, D.. Centre National de la Recherche Scientifique; Francia. Universite Grenoble Alpes; FranciaFil: Balseiro, Carlos Antonio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaAmerican Physical Society2018-06-25info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/125536Peralta Gavensky, Lucila; Usaj, Gonzalo; Feinberg, D.; Balseiro, Carlos Antonio; Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions; American Physical Society; Physical Review B; 97; 22; 25-6-2018; 1-52469-99502469-9969CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevB.97.220505info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.97.220505info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1804.04755info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:52:43Zoai:ri.conicet.gov.ar:11336/125536instacron: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:34982025-09-29 09:52:43.469CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions
title Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions
spellingShingle Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions
Peralta Gavensky, Lucila
Quantum Transport
Floquet Systems
Josephson junctions
Topological Materials
title_short Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions
title_full Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions
title_fullStr Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions
title_full_unstemmed Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions
title_sort Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions
dc.creator.none.fl_str_mv Peralta Gavensky, Lucila
Usaj, Gonzalo
Feinberg, D.
Balseiro, Carlos Antonio
author Peralta Gavensky, Lucila
author_facet Peralta Gavensky, Lucila
Usaj, Gonzalo
Feinberg, D.
Balseiro, Carlos Antonio
author_role author
author2 Usaj, Gonzalo
Feinberg, D.
Balseiro, Carlos Antonio
author2_role author
author
author
dc.subject.none.fl_str_mv Quantum Transport
Floquet Systems
Josephson junctions
Topological Materials
topic Quantum Transport
Floquet Systems
Josephson junctions
Topological Materials
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 propose a protocol to locally detect the Berry curvature of the ground state of a three-terminal Josephson junction with a quantum dot based on a synchronic detection of the currents flowing into the reservoir leads when an ac modulation is applied in the device. This local gauge invariant quantity is expressed in terms of the instantaneous Green’s function of the Bogoliubov–de Gennes Hamiltonian, and thus correctly accounts for the topological contribution from both the quasiparticle continuum and the Andreev bound states of the junction. We analyze the contribution to the Berry curvature from the latter by introducing an effective low-energy model. In addition, we propose to induce topological properties in the system by breaking time-reversal symmetry with a microwave field in the large frequency nonresonant regime. In the last case, the Floquet-Andreev levels are the ones that determine the topological structure of the junction, which is formally equivalent to a two-dimensional honeycomb Haldane lattice and provides a realization of this celebrated model in a solid state device. A relation between the Floquet Berry curvature and the transconductance of the driven system is derived.
Fil: Peralta Gavensky, Lucila. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Usaj, Gonzalo. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Feinberg, D.. Centre National de la Recherche Scientifique; Francia. Universite Grenoble Alpes; Francia
Fil: Balseiro, Carlos Antonio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
description We propose a protocol to locally detect the Berry curvature of the ground state of a three-terminal Josephson junction with a quantum dot based on a synchronic detection of the currents flowing into the reservoir leads when an ac modulation is applied in the device. This local gauge invariant quantity is expressed in terms of the instantaneous Green’s function of the Bogoliubov–de Gennes Hamiltonian, and thus correctly accounts for the topological contribution from both the quasiparticle continuum and the Andreev bound states of the junction. We analyze the contribution to the Berry curvature from the latter by introducing an effective low-energy model. In addition, we propose to induce topological properties in the system by breaking time-reversal symmetry with a microwave field in the large frequency nonresonant regime. In the last case, the Floquet-Andreev levels are the ones that determine the topological structure of the junction, which is formally equivalent to a two-dimensional honeycomb Haldane lattice and provides a realization of this celebrated model in a solid state device. A relation between the Floquet Berry curvature and the transconductance of the driven system is derived.
publishDate 2018
dc.date.none.fl_str_mv 2018-06-25
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/11336/125536
Peralta Gavensky, Lucila; Usaj, Gonzalo; Feinberg, D.; Balseiro, Carlos Antonio; Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions; American Physical Society; Physical Review B; 97; 22; 25-6-2018; 1-5
2469-9950
2469-9969
CONICET Digital
CONICET
url http://hdl.handle.net/11336/125536
identifier_str_mv Peralta Gavensky, Lucila; Usaj, Gonzalo; Feinberg, D.; Balseiro, Carlos Antonio; Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions; American Physical Society; Physical Review B; 97; 22; 25-6-2018; 1-5
2469-9950
2469-9969
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevB.97.220505
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.97.220505
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1804.04755
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
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
_version_ 1844613615453208576
score 13.070432

Publicaciones similares