Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas

We study numerically the existence and character of bound states for positive and negative point charges shielded by the response of a two-dimensional homogeneous electron gas. The problem is related to many physical situations and has recently arisen in experiments on impurities on metal surfaces w...

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Detalles Bibliográficos
Autores: Nagy, Istvan, Puska, M. J., Zabala, Nerea
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/225279
Acceso en línea:http://hdl.handle.net/10261/225279
Access Level:acceso abierto
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spelling Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gasNagy, IstvanPuska, M. J.Zabala, NereaWe study numerically the existence and character of bound states for positive and negative point charges shielded by the response of a two-dimensional homogeneous electron gas. The problem is related to many physical situations and has recently arisen in experiments on impurities on metal surfaces with Shockley surface states. Mathematical theorems ascertain a bound state for two-dimensional circularly symmetric potentials V(r) with ∫∞0drrV(r)⩽0. We find that a shielded potential with ∫∞0drrV(r)>0 may also sustain a bound state. Moreover, on the same footing we study the electron-electron interactions in the two-dimensional electron gas, finding a bound state with an energy minimum for a certain electron gas density.The work of I.N. has been supported partly by the Hungarian OTKA -Grants No. T046868 and No. T049571, that of M.J.P. by the Academy of Finland, and that of N.Z. by the University of Basque Country -Grant No. 9/UPV00206.215-13639/2001 and the Basque Unibertsitate eta Ikerketa Saila, the MCyT -Grant No. FIS2004-06490-C03-00, and the EU Network of Excellence NANOQUANTA -Grant No. NMP4-CT-2004-500198.Peer reviewedAmerican Physical SocietyHungarian Academy of SciencesAcademy of FinlandUniversidad del País VascoEuropean CommissionEusko JaurlaritzaMinisterio de Ciencia y Tecnología (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202020202006info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/225279reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.1103/PhysRevB.74.115411Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2252792026-05-22T06:33:51Z
dc.title.none.fl_str_mv Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas
title Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas
spellingShingle Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas
Nagy, Istvan
title_short Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas
title_full Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas
title_fullStr Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas
title_full_unstemmed Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas
title_sort Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas
dc.creator.none.fl_str_mv Nagy, Istvan
Puska, M. J.
Zabala, Nerea
author Nagy, Istvan
author_facet Nagy, Istvan
Puska, M. J.
Zabala, Nerea
author_role author
author2 Puska, M. J.
Zabala, Nerea
author2_role author
author
dc.contributor.none.fl_str_mv Hungarian Academy of Sciences
Academy of Finland
Universidad del País Vasco
European Commission
Eusko Jaurlaritza
Ministerio de Ciencia y Tecnología (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
description We study numerically the existence and character of bound states for positive and negative point charges shielded by the response of a two-dimensional homogeneous electron gas. The problem is related to many physical situations and has recently arisen in experiments on impurities on metal surfaces with Shockley surface states. Mathematical theorems ascertain a bound state for two-dimensional circularly symmetric potentials V(r) with ∫∞0drrV(r)⩽0. We find that a shielded potential with ∫∞0drrV(r)>0 may also sustain a bound state. Moreover, on the same footing we study the electron-electron interactions in the two-dimensional electron gas, finding a bound state with an energy minimum for a certain electron gas density.
publishDate 2006
dc.date.none.fl_str_mv 2006
2020
2020
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/10261/225279
url http://hdl.handle.net/10261/225279
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1103/PhysRevB.74.115411
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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