Localization properties of a one-dimensional tight-binding model with nonrandom long-range intersite interactions

We perform both analytical and numerical studies of the one-dimensional tight-binding Hamiltonian with stochastic uncorrelated on-site energies and nonfluctuating long-range hopping integrals J(mn) = J/vertical bar m-n vertical bar(mu). It was argued recently [A. Rodriguez et al., J. Phys. A 33, L16...

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Authors: Moura, FABF, de, Malyshev, Andrey, Lyra, M. L., Domínguez-Adame Acosta, Francisco
Format: article
Publication Date:2005
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/51255
Online Access:https://hdl.handle.net/20.500.14352/51255
Access Level:Open access
Keyword:538.9
Metal-Insulator-Transition
Random-Dimer Model
Absorption-Spectra Simulation
Correlated Disorder
Cyanine Dye
Anderson Transition
Conducting Polymers
Electronic States
Quantum Diffusion
Mobility Edge
Física de materiales
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spelling Localization properties of a one-dimensional tight-binding model with nonrandom long-range intersite interactionsMoura, FABF, deMalyshev, AndreyLyra, M. L.Domínguez-Adame Acosta, Francisco538.9Metal-Insulator-TransitionRandom-Dimer ModelAbsorption-Spectra SimulationCorrelated DisorderCyanine DyeAnderson TransitionConducting PolymersElectronic StatesQuantum DiffusionMobility EdgeFísica de materialesWe perform both analytical and numerical studies of the one-dimensional tight-binding Hamiltonian with stochastic uncorrelated on-site energies and nonfluctuating long-range hopping integrals J(mn) = J/vertical bar m-n vertical bar(mu). It was argued recently [A. Rodriguez et al., J. Phys. A 33, L161 (2000)] that this model reveals a localization-delocalization transition with respect to the disorder magnitude provided 1 < mu < 3/2. The transition occurs at one of the band edges (the upper one for J > 0 and the lower one for J < 0). The states at the other band edge are always localized, which hints at the existence of a single mobility edge. We analyze the mobility edge and show that, although the number of delocalized states tends to infinity, they form a set of null measure in the thermodynamic limit, i.e., the mobility edge tends to the band edge. The critical magnitude of disorder for the band edge states is computed versus the interaction exponent mu by making use of the conjecture on the universality of the normalized participation number distribution at the transition.American Physical SocietyUniversidad Complutense de Madrid20052005-05-0120052005-05-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/51255reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/512552026-06-02T12:44:21Z
dc.title.none.fl_str_mv Localization properties of a one-dimensional tight-binding model with nonrandom long-range intersite interactions
title Localization properties of a one-dimensional tight-binding model with nonrandom long-range intersite interactions
spellingShingle Localization properties of a one-dimensional tight-binding model with nonrandom long-range intersite interactions
Moura, FABF, de
538.9
Metal-Insulator-Transition
Random-Dimer Model
Absorption-Spectra Simulation
Correlated Disorder
Cyanine Dye
Anderson Transition
Conducting Polymers
Electronic States
Quantum Diffusion
Mobility Edge
Física de materiales
title_short Localization properties of a one-dimensional tight-binding model with nonrandom long-range intersite interactions
title_full Localization properties of a one-dimensional tight-binding model with nonrandom long-range intersite interactions
title_fullStr Localization properties of a one-dimensional tight-binding model with nonrandom long-range intersite interactions
title_full_unstemmed Localization properties of a one-dimensional tight-binding model with nonrandom long-range intersite interactions
title_sort Localization properties of a one-dimensional tight-binding model with nonrandom long-range intersite interactions
dc.creator.none.fl_str_mv Moura, FABF, de
Malyshev, Andrey
Lyra, M. L.
Domínguez-Adame Acosta, Francisco
author Moura, FABF, de
author_facet Moura, FABF, de
Malyshev, Andrey
Lyra, M. L.
Domínguez-Adame Acosta, Francisco
author_role author
author2 Malyshev, Andrey
Lyra, M. L.
Domínguez-Adame Acosta, Francisco
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 538.9
Metal-Insulator-Transition
Random-Dimer Model
Absorption-Spectra Simulation
Correlated Disorder
Cyanine Dye
Anderson Transition
Conducting Polymers
Electronic States
Quantum Diffusion
Mobility Edge
Física de materiales
topic 538.9
Metal-Insulator-Transition
Random-Dimer Model
Absorption-Spectra Simulation
Correlated Disorder
Cyanine Dye
Anderson Transition
Conducting Polymers
Electronic States
Quantum Diffusion
Mobility Edge
Física de materiales
description We perform both analytical and numerical studies of the one-dimensional tight-binding Hamiltonian with stochastic uncorrelated on-site energies and nonfluctuating long-range hopping integrals J(mn) = J/vertical bar m-n vertical bar(mu). It was argued recently [A. Rodriguez et al., J. Phys. A 33, L161 (2000)] that this model reveals a localization-delocalization transition with respect to the disorder magnitude provided 1 < mu < 3/2. The transition occurs at one of the band edges (the upper one for J > 0 and the lower one for J < 0). The states at the other band edge are always localized, which hints at the existence of a single mobility edge. We analyze the mobility edge and show that, although the number of delocalized states tends to infinity, they form a set of null measure in the thermodynamic limit, i.e., the mobility edge tends to the band edge. The critical magnitude of disorder for the band edge states is computed versus the interaction exponent mu by making use of the conjecture on the universality of the normalized participation number distribution at the transition.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-05-01
2005
2005-05-01
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/20.500.14352/51255
url https://hdl.handle.net/20.500.14352/51255
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 15,300724

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