Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach

Autores
Balseiro, Carlos Antonio; Usaj, Gonzalo; Sánchez, María José
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study non-equilibrium electron transport through a quantum impurity coupled to metallic leads using the equation of motion technique at finite temperature T . Assuming that the interactions are taking place solely in the impurity and focusing on the infinite Hubbard limit, we compute the out of equilibrium density of states and the differential conductance G2(T, V ) in order to test several scaling laws. We find that G2(T, V )/G2(T, 0) is a universal function of both eV/TK and T/TK, TK being the Kondo temperature. The effect of an in-plane magnetic field on the splitting of the zero bias anomaly in the differential conductance is also analyzed. For a Zeeman splitting , the computed differential conductance peak splitting depends only on /TK, and for large fields approaches the value of 2. Besides studying the traditional two leads setup, we also consider other configurations that mimic recent experiments, namely, an impurity embedded in a mesoscopic wire and the presence of a third weakly coupled lead. In these cases, a double peak structure of the Kondo resonance is clearly obtained in the differential conductance while the amplitude of the highest peak is shown to decrease as ln(eV/TK). Several features of these results are in qualitative agreement with recent experimental observations reported on quantum dots.
Fil: Balseiro, Carlos Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Div.física Teórica; Argentina
Fil: Usaj, Gonzalo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Sánchez, María José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Div.física Teórica; Argentina
Materia
Strongly Correlated Electrons
Anderson
Non-equilibrium electron transport
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:11336/279199

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spelling Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approachBalseiro, Carlos AntonioUsaj, GonzaloSánchez, María JoséStrongly Correlated ElectronsAndersonNon-equilibrium electron transporthttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study non-equilibrium electron transport through a quantum impurity coupled to metallic leads using the equation of motion technique at finite temperature T . Assuming that the interactions are taking place solely in the impurity and focusing on the infinite Hubbard limit, we compute the out of equilibrium density of states and the differential conductance G2(T, V ) in order to test several scaling laws. We find that G2(T, V )/G2(T, 0) is a universal function of both eV/TK and T/TK, TK being the Kondo temperature. The effect of an in-plane magnetic field on the splitting of the zero bias anomaly in the differential conductance is also analyzed. For a Zeeman splitting , the computed differential conductance peak splitting depends only on /TK, and for large fields approaches the value of 2. Besides studying the traditional two leads setup, we also consider other configurations that mimic recent experiments, namely, an impurity embedded in a mesoscopic wire and the presence of a third weakly coupled lead. In these cases, a double peak structure of the Kondo resonance is clearly obtained in the differential conductance while the amplitude of the highest peak is shown to decrease as ln(eV/TK). Several features of these results are in qualitative agreement with recent experimental observations reported on quantum dots.Fil: Balseiro, Carlos Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Div.física Teórica; ArgentinaFil: Usaj, Gonzalo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); ArgentinaFil: Sánchez, María José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Div.física Teórica; ArgentinaIOP Publishing2010-07info: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/11336/279199Balseiro, Carlos Antonio; Usaj, Gonzalo; Sánchez, María José; Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach; IOP Publishing; Journal of Physics: Condensed Matter; 22; 42; 7-2010; 1-100953-8984CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0953-8984/22/42/425602info:eu-repo/semantics/altIdentifier/doi/10.1088/0953-8984/22/42/425602info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T09:57:16Zoai:ri.conicet.gov.ar:11336/279199instacron: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:34982026-02-26 09:57:16.881CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach
title Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach
spellingShingle Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach
Balseiro, Carlos Antonio
Strongly Correlated Electrons
Anderson
Non-equilibrium electron transport
title_short Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach
title_full Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach
title_fullStr Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach
title_full_unstemmed Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach
title_sort Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach
dc.creator.none.fl_str_mv Balseiro, Carlos Antonio
Usaj, Gonzalo
Sánchez, María José
author Balseiro, Carlos Antonio
author_facet Balseiro, Carlos Antonio
Usaj, Gonzalo
Sánchez, María José
author_role author
author2 Usaj, Gonzalo
Sánchez, María José
author2_role author
author
dc.subject.none.fl_str_mv Strongly Correlated Electrons
Anderson
Non-equilibrium electron transport
topic Strongly Correlated Electrons
Anderson
Non-equilibrium electron transport
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 study non-equilibrium electron transport through a quantum impurity coupled to metallic leads using the equation of motion technique at finite temperature T . Assuming that the interactions are taking place solely in the impurity and focusing on the infinite Hubbard limit, we compute the out of equilibrium density of states and the differential conductance G2(T, V ) in order to test several scaling laws. We find that G2(T, V )/G2(T, 0) is a universal function of both eV/TK and T/TK, TK being the Kondo temperature. The effect of an in-plane magnetic field on the splitting of the zero bias anomaly in the differential conductance is also analyzed. For a Zeeman splitting , the computed differential conductance peak splitting depends only on /TK, and for large fields approaches the value of 2. Besides studying the traditional two leads setup, we also consider other configurations that mimic recent experiments, namely, an impurity embedded in a mesoscopic wire and the presence of a third weakly coupled lead. In these cases, a double peak structure of the Kondo resonance is clearly obtained in the differential conductance while the amplitude of the highest peak is shown to decrease as ln(eV/TK). Several features of these results are in qualitative agreement with recent experimental observations reported on quantum dots.
Fil: Balseiro, Carlos Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Div.física Teórica; Argentina
Fil: Usaj, Gonzalo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Sánchez, María José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Div.física Teórica; Argentina
description We study non-equilibrium electron transport through a quantum impurity coupled to metallic leads using the equation of motion technique at finite temperature T . Assuming that the interactions are taking place solely in the impurity and focusing on the infinite Hubbard limit, we compute the out of equilibrium density of states and the differential conductance G2(T, V ) in order to test several scaling laws. We find that G2(T, V )/G2(T, 0) is a universal function of both eV/TK and T/TK, TK being the Kondo temperature. The effect of an in-plane magnetic field on the splitting of the zero bias anomaly in the differential conductance is also analyzed. For a Zeeman splitting , the computed differential conductance peak splitting depends only on /TK, and for large fields approaches the value of 2. Besides studying the traditional two leads setup, we also consider other configurations that mimic recent experiments, namely, an impurity embedded in a mesoscopic wire and the presence of a third weakly coupled lead. In these cases, a double peak structure of the Kondo resonance is clearly obtained in the differential conductance while the amplitude of the highest peak is shown to decrease as ln(eV/TK). Several features of these results are in qualitative agreement with recent experimental observations reported on quantum dots.
publishDate 2010
dc.date.none.fl_str_mv 2010-07
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/11336/279199
Balseiro, Carlos Antonio; Usaj, Gonzalo; Sánchez, María José; Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach; IOP Publishing; Journal of Physics: Condensed Matter; 22; 42; 7-2010; 1-10
0953-8984
CONICET Digital
CONICET
url http://hdl.handle.net/11336/279199
identifier_str_mv Balseiro, Carlos Antonio; Usaj, Gonzalo; Sánchez, María José; Out of equilibrium transport through an Anderson impurity: probing scaling laws within the equation of motion approach; IOP Publishing; Journal of Physics: Condensed Matter; 22; 42; 7-2010; 1-10
0953-8984
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://iopscience.iop.org/article/10.1088/0953-8984/22/42/425602
info:eu-repo/semantics/altIdentifier/doi/10.1088/0953-8984/22/42/425602
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 IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
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repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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