Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect

We show how macroscopic manifestations of P (and T) symmetry breaking can arise in a simple system subject to Aharonov-Bohm interactions. Specifically, we study the conductivity of a gas of charged particles moving through a dilute array of flux tubes. The interaction of the electrons with the flux...

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Autores: Emparan García de Salazar, Roberto A., Valle Basagoiti, M. A.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1994
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/10868
Acceso en línea:https://hdl.handle.net/2445/10868
Access Level:acceso abierto
Palabra clave:Efecte Hall
Conductivitat elèctrica
Matèria condensada
Hall effect
Electric conductivity
Condensed matter
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spelling Parity violation in Aharonov-Bohm systems: The spontaneous Hall effectEmparan García de Salazar, Roberto A.Valle Basagoiti, M. A.Efecte HallConductivitat elèctricaMatèria condensadaHall effectElectric conductivityCondensed matterWe show how macroscopic manifestations of P (and T) symmetry breaking can arise in a simple system subject to Aharonov-Bohm interactions. Specifically, we study the conductivity of a gas of charged particles moving through a dilute array of flux tubes. The interaction of the electrons with the flux tubes is taken to be of a purely Aharonov-Bohm type. We find that the system exhibits a nonzero transverse conductivity, i.e., a spontaneous Hall effect. This is in contrast to the fact that the cross sections for both scattering and bremsstrahlung (soft-photon emission) of a single electron from a flux tube are invariant under reflections. We argue that the asymmetry in the conductivity coefficients arises from many-body effects. On the other hand, the transverse conductivity has the same dependence on universal constants that appears in the quantum Hall effect, a result that we relate to the validity of the mean-field approximation.The American Physical Society201020101994info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion6 p.application/pdfapplication/pdfhttps://hdl.handle.net/2445/10868Articles publicats en revistes (Física de la Matèria Condensada)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevB.49.14460Physical Review B, 1994, vol. 49, núm. 20, p. 14460-14465http://dx.doi.org/10.1103/PhysRevB.49.14460(c) The American Physical Society, 1994info:eu-repo/semantics/openAccessoai:recercat.cat:2445/108682026-05-29T05:05:01Z
dc.title.none.fl_str_mv Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect
title Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect
spellingShingle Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect
Emparan García de Salazar, Roberto A.
Efecte Hall
Conductivitat elèctrica
Matèria condensada
Hall effect
Electric conductivity
Condensed matter
title_short Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect
title_full Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect
title_fullStr Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect
title_full_unstemmed Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect
title_sort Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect
dc.creator.none.fl_str_mv Emparan García de Salazar, Roberto A.
Valle Basagoiti, M. A.
author Emparan García de Salazar, Roberto A.
author_facet Emparan García de Salazar, Roberto A.
Valle Basagoiti, M. A.
author_role author
author2 Valle Basagoiti, M. A.
author2_role author
dc.subject.none.fl_str_mv Efecte Hall
Conductivitat elèctrica
Matèria condensada
Hall effect
Electric conductivity
Condensed matter
topic Efecte Hall
Conductivitat elèctrica
Matèria condensada
Hall effect
Electric conductivity
Condensed matter
description We show how macroscopic manifestations of P (and T) symmetry breaking can arise in a simple system subject to Aharonov-Bohm interactions. Specifically, we study the conductivity of a gas of charged particles moving through a dilute array of flux tubes. The interaction of the electrons with the flux tubes is taken to be of a purely Aharonov-Bohm type. We find that the system exhibits a nonzero transverse conductivity, i.e., a spontaneous Hall effect. This is in contrast to the fact that the cross sections for both scattering and bremsstrahlung (soft-photon emission) of a single electron from a flux tube are invariant under reflections. We argue that the asymmetry in the conductivity coefficients arises from many-body effects. On the other hand, the transverse conductivity has the same dependence on universal constants that appears in the quantum Hall effect, a result that we relate to the validity of the mean-field approximation.
publishDate 1994
dc.date.none.fl_str_mv 1994
2010
2010
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/10868
url https://hdl.handle.net/2445/10868
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevB.49.14460
Physical Review B, 1994, vol. 49, núm. 20, p. 14460-14465
http://dx.doi.org/10.1103/PhysRevB.49.14460
dc.rights.none.fl_str_mv (c) The American Physical Society, 1994
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 1994
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 6 p.
application/pdf
application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
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repository.mail.fl_str_mv
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