Mean free path of a suddenly created fast electron moving in a degenerate electron gas

A lower bound on the mean free path (l) of a swift electron moving in a degenerate electron gas is calculated by implementing a standard theoretical framework for the collision rate, 1/τ, with a scattering amplitude characterized by the matrix element of a hole-screened interaction potential taken b...

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Detalhes bibliográficos
Autores: Nagy, Istvan, Echenique, Pedro M.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/246177
Acesso em linha:http://hdl.handle.net/10261/246177
Access Level:acceso abierto
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spelling Mean free path of a suddenly created fast electron moving in a degenerate electron gasNagy, IstvanEchenique, Pedro M.A lower bound on the mean free path (l) of a swift electron moving in a degenerate electron gas is calculated by implementing a standard theoretical framework for the collision rate, 1/τ, with a scattering amplitude characterized by the matrix element of a hole-screened interaction potential taken between plane-wave states. The instantaneous hole around a system's electron is considered at the Hartree-Fock level for the ground-state wave function of the degenerate electron gas. The real transitions in the many-body system are considered by following Galitskii's treatment on an almost perfect Fermi gas of neutral atomic constituents. The analytical results show minima both in τ and l, and they appear at (E/EF)≃4.6 and (E/EF)≃2.5, respectively, where E is the kinetic energy of the fast electron and EF is the Fermi energy of the host. Comparison with mean free path data obtained recently for Cu is made and a reasonable agreement is found.I.N. acknowledges the hospitality at the Donostia International Physics Center (DIPC) where the study was completed. This work was supported by the Spanish Ministry of Science and Innovation (MICINN) (Project No. FIS2010-19609-C02-02).Peer reviewedAmerican Physical SocietyDonostia International Physics CenterMinisterio de Ciencia e Innovación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202120212012info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/246177reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.1103/PhysRevB.85.115131Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2461772026-05-22T06:33:51Z
dc.title.none.fl_str_mv Mean free path of a suddenly created fast electron moving in a degenerate electron gas
title Mean free path of a suddenly created fast electron moving in a degenerate electron gas
spellingShingle Mean free path of a suddenly created fast electron moving in a degenerate electron gas
Nagy, Istvan
title_short Mean free path of a suddenly created fast electron moving in a degenerate electron gas
title_full Mean free path of a suddenly created fast electron moving in a degenerate electron gas
title_fullStr Mean free path of a suddenly created fast electron moving in a degenerate electron gas
title_full_unstemmed Mean free path of a suddenly created fast electron moving in a degenerate electron gas
title_sort Mean free path of a suddenly created fast electron moving in a degenerate electron gas
dc.creator.none.fl_str_mv Nagy, Istvan
Echenique, Pedro M.
author Nagy, Istvan
author_facet Nagy, Istvan
Echenique, Pedro M.
author_role author
author2 Echenique, Pedro M.
author2_role author
dc.contributor.none.fl_str_mv Donostia International Physics Center
Ministerio de Ciencia e Innovación (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
description A lower bound on the mean free path (l) of a swift electron moving in a degenerate electron gas is calculated by implementing a standard theoretical framework for the collision rate, 1/τ, with a scattering amplitude characterized by the matrix element of a hole-screened interaction potential taken between plane-wave states. The instantaneous hole around a system's electron is considered at the Hartree-Fock level for the ground-state wave function of the degenerate electron gas. The real transitions in the many-body system are considered by following Galitskii's treatment on an almost perfect Fermi gas of neutral atomic constituents. The analytical results show minima both in τ and l, and they appear at (E/EF)≃4.6 and (E/EF)≃2.5, respectively, where E is the kinetic energy of the fast electron and EF is the Fermi energy of the host. Comparison with mean free path data obtained recently for Cu is made and a reasonable agreement is found.
publishDate 2012
dc.date.none.fl_str_mv 2012
2021
2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/246177
url http://hdl.handle.net/10261/246177
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1103/PhysRevB.85.115131
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812455

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