Two Scenarios for Quantum Multifractality Breakdown

Autores
Dubertrand, R.; Garcia-mata, Ignacio; Georgeot, B.; Giraud, O.; Lemarié, G.; Martin, J.
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We expose two scenarios for the breakdown of quantum multifractality under the effect of perturbations. In the first scenario, multifractality survives below a certain scale of the quantum fluctuations. In the other one, the fluctuations of the wave functions are changed at every scale and each multifractal dimension smoothly goes to the ergodic value. We use as generic examples a one-dimensional dynamical system and the three-dimensional Anderson model at the metal-insulator transition. Based on our results, we conjecture that the sensitivity of quantum multifractality to perturbation is universal in the sense that it follows one of these two scenarios depending on the perturbation. We also discuss the experimental implications.
Fil: Dubertrand, R.. Universitá Paul Sabatier; Francia
Fil: Garcia-mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Georgeot, B.. Universitá Paul Sabatier; Francia
Fil: Giraud, O.. Universite de Paris; Francia
Fil: Lemarié, G.. Universitá Paul Sabatier; Francia
Fil: Martin, J.. Universite de Liege; Bélgica
Materia
Chaos
Ruido
Metal-Aislante
Transicion
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/8213
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/8213
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Two Scenarios for Quantum Multifractality BreakdownDubertrand, R.Garcia-mata, IgnacioGeorgeot, B.Giraud, O.Lemarié, G.Martin, J.ChaosRuidoMetal-AislanteTransicionhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We expose two scenarios for the breakdown of quantum multifractality under the effect of perturbations. In the first scenario, multifractality survives below a certain scale of the quantum fluctuations. In the other one, the fluctuations of the wave functions are changed at every scale and each multifractal dimension smoothly goes to the ergodic value. We use as generic examples a one-dimensional dynamical system and the three-dimensional Anderson model at the metal-insulator transition. Based on our results, we conjecture that the sensitivity of quantum multifractality to perturbation is universal in the sense that it follows one of these two scenarios depending on the perturbation. We also discuss the experimental implications.Fil: Dubertrand, R.. Universitá Paul Sabatier; FranciaFil: Garcia-mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Georgeot, B.. Universitá Paul Sabatier; FranciaFil: Giraud, O.. Universite de Paris; FranciaFil: Lemarié, G.. Universitá Paul Sabatier; FranciaFil: Martin, J.. Universite de Liege; BélgicaAmerican Physical Society2014-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/8213Dubertrand, R.; Garcia-mata, Ignacio; Georgeot, B.; Giraud, O.; Lemarié, G.; et al.; Two Scenarios for Quantum Multifractality Breakdown; American Physical Society; Physical Review Letters; 112; 23; 6-2014; 234101-2341050031-9007enginfo:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.234101info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.112.234101info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1402.1658v2info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:03:19Zoai:ri.conicet.gov.ar:11336/8213instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:03:19.673CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Two Scenarios for Quantum Multifractality Breakdown
title Two Scenarios for Quantum Multifractality Breakdown
spellingShingle Two Scenarios for Quantum Multifractality Breakdown
Dubertrand, R.
Chaos
Ruido
Metal-Aislante
Transicion
title_short Two Scenarios for Quantum Multifractality Breakdown
title_full Two Scenarios for Quantum Multifractality Breakdown
title_fullStr Two Scenarios for Quantum Multifractality Breakdown
title_full_unstemmed Two Scenarios for Quantum Multifractality Breakdown
title_sort Two Scenarios for Quantum Multifractality Breakdown
dc.creator.none.fl_str_mv Dubertrand, R.
Garcia-mata, Ignacio
Georgeot, B.
Giraud, O.
Lemarié, G.
Martin, J.
author Dubertrand, R.
author_facet Dubertrand, R.
Garcia-mata, Ignacio
Georgeot, B.
Giraud, O.
Lemarié, G.
Martin, J.
author_role author
author2 Garcia-mata, Ignacio
Georgeot, B.
Giraud, O.
Lemarié, G.
Martin, J.
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Chaos
Ruido
Metal-Aislante
Transicion
topic Chaos
Ruido
Metal-Aislante
Transicion
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We expose two scenarios for the breakdown of quantum multifractality under the effect of perturbations. In the first scenario, multifractality survives below a certain scale of the quantum fluctuations. In the other one, the fluctuations of the wave functions are changed at every scale and each multifractal dimension smoothly goes to the ergodic value. We use as generic examples a one-dimensional dynamical system and the three-dimensional Anderson model at the metal-insulator transition. Based on our results, we conjecture that the sensitivity of quantum multifractality to perturbation is universal in the sense that it follows one of these two scenarios depending on the perturbation. We also discuss the experimental implications.
Fil: Dubertrand, R.. Universitá Paul Sabatier; Francia
Fil: Garcia-mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Georgeot, B.. Universitá Paul Sabatier; Francia
Fil: Giraud, O.. Universite de Paris; Francia
Fil: Lemarié, G.. Universitá Paul Sabatier; Francia
Fil: Martin, J.. Universite de Liege; Bélgica
description We expose two scenarios for the breakdown of quantum multifractality under the effect of perturbations. In the first scenario, multifractality survives below a certain scale of the quantum fluctuations. In the other one, the fluctuations of the wave functions are changed at every scale and each multifractal dimension smoothly goes to the ergodic value. We use as generic examples a one-dimensional dynamical system and the three-dimensional Anderson model at the metal-insulator transition. Based on our results, we conjecture that the sensitivity of quantum multifractality to perturbation is universal in the sense that it follows one of these two scenarios depending on the perturbation. We also discuss the experimental implications.
publishDate 2014
dc.date.none.fl_str_mv 2014-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/8213
Dubertrand, R.; Garcia-mata, Ignacio; Georgeot, B.; Giraud, O.; Lemarié, G.; et al.; Two Scenarios for Quantum Multifractality Breakdown; American Physical Society; Physical Review Letters; 112; 23; 6-2014; 234101-234105
0031-9007
url http://hdl.handle.net/11336/8213
identifier_str_mv Dubertrand, R.; Garcia-mata, Ignacio; Georgeot, B.; Giraud, O.; Lemarié, G.; et al.; Two Scenarios for Quantum Multifractality Breakdown; American Physical Society; Physical Review Letters; 112; 23; 6-2014; 234101-234105
0031-9007
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.234101
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.112.234101
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1402.1658v2
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
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:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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