Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction

We consider a two-parameter one-dimensional Hamiltonian with uncorrelated diagonal disorder and nonrandom long-range intersite interaction J(mn)=J/\m-n\(mu). The model is critical at 1<mu<3/2 and reveals the localization-delocalization transition with respect to the disorder magnitude. To dete...

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Detalles Bibliográficos
Autores: Malyshev, Andrey, Domínguez-Adame Acosta, Francisco
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/51256
Acceso en línea:https://hdl.handle.net/20.500.14352/51256
Access Level:acceso abierto
Palabra clave:538.9
Inverse Participation Ratio
Metal-Insulator-Transition
Disordered-Systems
Anderson Transition
Probability-Distributions
Quantum Diffusion
Scaling Theory
Wave-Functions
Fluctuations
Absence
Física de materiales
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spelling Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interactionMalyshev, AndreyDomínguez-Adame Acosta, Francisco538.9Inverse Participation RatioMetal-Insulator-TransitionDisordered-SystemsAnderson TransitionProbability-DistributionsQuantum DiffusionScaling TheoryWave-FunctionsFluctuationsAbsenceFísica de materialesWe consider a two-parameter one-dimensional Hamiltonian with uncorrelated diagonal disorder and nonrandom long-range intersite interaction J(mn)=J/\m-n\(mu). The model is critical at 1<mu<3/2 and reveals the localization-delocalization transition with respect to the disorder magnitude. To detect the transition we analyze level and wave function statistics. It is demonstrated also that in the marginal case (mu=3/2) all states are localized.American Physical SocietyUniversidad Complutense de Madrid20042004-11-0120042004-11-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/51256reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/512562026-06-02T12:44:21Z
dc.title.none.fl_str_mv Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction
title Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction
spellingShingle Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction
Malyshev, Andrey
538.9
Inverse Participation Ratio
Metal-Insulator-Transition
Disordered-Systems
Anderson Transition
Probability-Distributions
Quantum Diffusion
Scaling Theory
Wave-Functions
Fluctuations
Absence
Física de materiales
title_short Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction
title_full Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction
title_fullStr Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction
title_full_unstemmed Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction
title_sort Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction
dc.creator.none.fl_str_mv Malyshev, Andrey
Domínguez-Adame Acosta, Francisco
author Malyshev, Andrey
author_facet Malyshev, Andrey
Domínguez-Adame Acosta, Francisco
author_role author
author2 Domínguez-Adame Acosta, Francisco
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 538.9
Inverse Participation Ratio
Metal-Insulator-Transition
Disordered-Systems
Anderson Transition
Probability-Distributions
Quantum Diffusion
Scaling Theory
Wave-Functions
Fluctuations
Absence
Física de materiales
topic 538.9
Inverse Participation Ratio
Metal-Insulator-Transition
Disordered-Systems
Anderson Transition
Probability-Distributions
Quantum Diffusion
Scaling Theory
Wave-Functions
Fluctuations
Absence
Física de materiales
description We consider a two-parameter one-dimensional Hamiltonian with uncorrelated diagonal disorder and nonrandom long-range intersite interaction J(mn)=J/\m-n\(mu). The model is critical at 1<mu<3/2 and reveals the localization-delocalization transition with respect to the disorder magnitude. To detect the transition we analyze level and wave function statistics. It is demonstrated also that in the marginal case (mu=3/2) all states are localized.
publishDate 2004
dc.date.none.fl_str_mv 2004
2004-11-01
2004
2004-11-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/51256
url https://hdl.handle.net/20.500.14352/51256
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603