Surface currents in Hall devices

One hundred and forty years after his discovery, the Hall effect still deserves attention. If it is well-known that the Hall voltage measured in Hall bar devices is due to the electric charges accumulated at the edges in response to the magnetic field, the nature of the corresponding boundary condit...

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Detalles Bibliográficos
Autores: Creff, M., Faisant, F., Rubí Capaceti, José Miguel, Wegrowe, J.-E.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/176859
Acceso en línea:https://hdl.handle.net/2445/176859
Access Level:acceso abierto
Palabra clave:Efecte Hall
Transferència de càrrega
Camps elèctrics
Hall effect
Charge transfer
Electric fields
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spelling Surface currents in Hall devicesCreff, M.Faisant, F.Rubí Capaceti, José MiguelWegrowe, J.-E.Efecte HallTransferència de càrregaCamps elèctricsHall effectCharge transferElectric fieldsOne hundred and forty years after his discovery, the Hall effect still deserves attention. If it is well-known that the Hall voltage measured in Hall bar devices is due to the electric charges accumulated at the edges in response to the magnetic field, the nature of the corresponding boundary conditions is still problematic. In order to study this out-of-equilibrium stationary state, the Onsager's least-dissipation principle is applied. It is shown that, beside the well-known expression of the charge accumulation and the corresponding Hall voltage, a longitudinal surface current proportional to the charge accumulation is generated. An expression of the surface current is given. The surface currents allow the Hall voltage to be stabilized at a stationary state, despite, e.g., the presence of leakage of charges at the edges.American Institute of Physics2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/176859Articles publicats en revistes (Física de la Matèria Condensada)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1063/5.0013182Journal of Applied Physics, 2020, vol. 128https://doi.org/10.1063/5.0013182(c) American Institute of Physics , 2020info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1768592026-05-27T06:46:51Z
dc.title.none.fl_str_mv Surface currents in Hall devices
title Surface currents in Hall devices
spellingShingle Surface currents in Hall devices
Creff, M.
Efecte Hall
Transferència de càrrega
Camps elèctrics
Hall effect
Charge transfer
Electric fields
title_short Surface currents in Hall devices
title_full Surface currents in Hall devices
title_fullStr Surface currents in Hall devices
title_full_unstemmed Surface currents in Hall devices
title_sort Surface currents in Hall devices
dc.creator.none.fl_str_mv Creff, M.
Faisant, F.
Rubí Capaceti, José Miguel
Wegrowe, J.-E.
author Creff, M.
author_facet Creff, M.
Faisant, F.
Rubí Capaceti, José Miguel
Wegrowe, J.-E.
author_role author
author2 Faisant, F.
Rubí Capaceti, José Miguel
Wegrowe, J.-E.
author2_role author
author
author
dc.subject.none.fl_str_mv Efecte Hall
Transferència de càrrega
Camps elèctrics
Hall effect
Charge transfer
Electric fields
topic Efecte Hall
Transferència de càrrega
Camps elèctrics
Hall effect
Charge transfer
Electric fields
description One hundred and forty years after his discovery, the Hall effect still deserves attention. If it is well-known that the Hall voltage measured in Hall bar devices is due to the electric charges accumulated at the edges in response to the magnetic field, the nature of the corresponding boundary conditions is still problematic. In order to study this out-of-equilibrium stationary state, the Onsager's least-dissipation principle is applied. It is shown that, beside the well-known expression of the charge accumulation and the corresponding Hall voltage, a longitudinal surface current proportional to the charge accumulation is generated. An expression of the surface current is given. The surface currents allow the Hall voltage to be stabilized at a stationary state, despite, e.g., the presence of leakage of charges at the edges.
publishDate 2020
dc.date.none.fl_str_mv 2020
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/2445/176859
url https://hdl.handle.net/2445/176859
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1063/5.0013182
Journal of Applied Physics, 2020, vol. 128
https://doi.org/10.1063/5.0013182
dc.rights.none.fl_str_mv (c) American Institute of Physics , 2020
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Institute of Physics , 2020
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.198674

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