Multifractal metal in a disordered Josephson junctions array

10 pags., 9 figs., 1 tab.

Detalles Bibliográficos
Autores: Pino, Manuel, Kravtsov, V. E., Altshuler, B. L., Ioffe, L. B.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/164262
Acceso en línea:http://hdl.handle.net/10261/164262
Access Level:acceso abierto
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spelling Multifractal metal in a disordered Josephson junctions arrayPino, ManuelKravtsov, V. E.Altshuler, B. L.Ioffe, L. B.10 pags., 9 figs., 1 tab.We report the results of the numerical study of the nondissipative quantum Josephson junction chain with the focus on the statistics of many-body wave functions and local energy spectra. The disorder in this chain is due to the random offset charges. This chain is one of the simplest physical systems to study many-body localization. We show that the system may exhibit three distinct regimes: insulating, characterized by the full localization of many-body wave functions, a fully delocalized (metallic) one characterized by the wave functions that take all the available phase volume, and the intermediate regime in which the volume taken by the wave function scales as a nontrivial power of the full Hilbert-space volume. In the intermediate nonergodic regime the Thouless conductance (generalized to the many-body problem) does not change as a function of the chain length indicating a failure of the conventional single-parameter scaling theory of localization transition. The local spectra in this regime display the fractal structure in the energy space which is related with the fractal structure of wave functions in the Hilbert space. A simple theory of fractality of local spectra is proposed, and a scaling relationship between fractal dimensions in the Hilbert and energy spaces is suggested and numerically tested.This work was supported by ARO Grant No. W911NF- 13-1-0431 and Russian Science Foundation Grant No. 14-42- 00044. M.P. acknowledges support from Juan de la Cierva Grant No. IJCI-2015-23260, MINECO/FEDER Project No. FIS2015-70856-P, CAM PRICYT Project No. QUITEMAD+ S2013/ICE-2801, and Proyecto de la Fundacion Seneca Grant No. 19907/GERM/15.Peer ReviewedAmerican Physical SocietyFundación SénecaComunidad de MadridMinisterio de Economía y Competitividad (España)Russian Science FoundationUS Army Research LaboratoryConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2018201820172018info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/164262reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2015-70856-PS2013/ICE-2801/QUITEMAD+-CMhttps://doi.org/10.1103/PhysRevB.96.214205Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1642622026-05-22T06:33:51Z
dc.title.none.fl_str_mv Multifractal metal in a disordered Josephson junctions array
title Multifractal metal in a disordered Josephson junctions array
spellingShingle Multifractal metal in a disordered Josephson junctions array
Pino, Manuel
title_short Multifractal metal in a disordered Josephson junctions array
title_full Multifractal metal in a disordered Josephson junctions array
title_fullStr Multifractal metal in a disordered Josephson junctions array
title_full_unstemmed Multifractal metal in a disordered Josephson junctions array
title_sort Multifractal metal in a disordered Josephson junctions array
dc.creator.none.fl_str_mv Pino, Manuel
Kravtsov, V. E.
Altshuler, B. L.
Ioffe, L. B.
author Pino, Manuel
author_facet Pino, Manuel
Kravtsov, V. E.
Altshuler, B. L.
Ioffe, L. B.
author_role author
author2 Kravtsov, V. E.
Altshuler, B. L.
Ioffe, L. B.
author2_role author
author
author
dc.contributor.none.fl_str_mv Fundación Séneca
Comunidad de Madrid
Ministerio de Economía y Competitividad (España)
Russian Science Foundation
US Army Research Laboratory
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
description 10 pags., 9 figs., 1 tab.
publishDate 2017
dc.date.none.fl_str_mv 2017
2018
2018
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
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info:eu-repo/semantics/publishedVersion
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dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/164262
url http://hdl.handle.net/10261/164262
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
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info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2015-70856-P
S2013/ICE-2801/QUITEMAD+-CM
https://doi.org/10.1103/PhysRevB.96.214205
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
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instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
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