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Stability and instability towards delocalization in many-body localization systems

dc.contributor.authorHuveneers, François
dc.contributor.authorDe Roeck, Wojciech
dc.date.accessioned2017-11-29T13:47:33Z
dc.date.available2017-11-29T13:47:33Z
dc.date.issued2017
dc.identifier.issn2469-9950
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17103
dc.language.isoenen
dc.subjectConductivity
dc.subjectEigenstate thermalization
dc.subjectLocalization
dc.subject.ddc520en
dc.titleStability and instability towards delocalization in many-body localization systems
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe propose a theory that describes quantitatively the (in)stability of fully many-body localization (MBL) systems due to ergodic, i.e., delocalized, grains, that can be, for example, due to disorder fluctuations. The theory is based on the ETH hypothesis and elementary notions of perturbation theory. The main idea is that we assume as much chaoticity as is consistent with conservation laws. The theory describes correctly—even without relying on the theory of local integrals of motion (LIOM)—the MBL phase in one dimension at strong disorder. It yields an explicit and quantitative picture of the spatial boundary between localized and ergodic systems. We provide numerical evidence for this picture. When the theory is taken to its extreme logical consequences, it predicts that the MBL phase is destabilised in the long time limit whenever (1) interactions decay slower than exponentially in d=1 and (2) always in d>1. Finer numerics is required to assess these predictions.
dc.relation.isversionofjnlnamePhysical Review B : Condensed matter and materials physics
dc.relation.isversionofjnlvol95
dc.relation.isversionofjnldate2017
dc.relation.isversionofdoi10.1103/PhysRevB.95.155129
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-12-15T15:17:56Z


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