Show simple item record

dc.contributor.authorDe Roeck, Wojciech*
dc.contributor.authorHuveneers, François*
dc.contributor.authorOlla, Stefano*
dc.date.accessioned2019-10-12T15:33:35Z
dc.date.available2019-10-12T15:33:35Z
dc.date.issued2020
dc.identifier.issn0022-4715
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20125
dc.language.isoen
dc.subjectAnderson Localization
dc.subjectDisordered systems
dc.subjectsubdiffusion
dc.subjectGriffiths Regions
dc.subject.ddc515
dc.titleSubdiffusion in one-dimensional Hamiltonian chains with sparse interactions
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe establish rigorously that transport is slower than diffusive for a class of disordered one-dimensional Hamiltonian chains. This is done by deriving quantitative bounds on the variance in equilibrium of the energy or particle current, as a function of time. The slow transport stems from the presence of rare insulating regions (Griffiths regions). In many-body disordered quantum chains, they correspond to regions of anomalously high disorder, where the system is in a localized phase. In contrast, we deal with quantum and classical disordered chains where the interactions, usually referred to as anharmonic couplings in classical systems, are sparse. The system hosts thus rare regions with no interactions and, since the chain is Anderson localized in the absence of interactions, the non-interacting rare regions are insulating. Part of the mathematical interest of our model is that it is one of the few non-integrable models where the diffusion constant can be rigorously proven not to be infinite.
dc.publisher.cityParis
dc.relation.isversionofjnlnameJournal of Statistical Physics
dc.relation.isversionofjnldate2020
dc.relation.isversionofdoi10.1007/s10955-020-02496-1
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelAnalyse
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2020-04-23T08:30:09Z
hal.person.labIds36200*
hal.person.labIds60*
hal.person.labIds60*


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record