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dc.contributor.authorAza, N.J.B.
dc.contributor.authorBru, J.-B. 
dc.contributor.authorde Siqueira Pedra, W. 
dc.date.accessioned2019-02-13T21:34:38Z
dc.date.available2019-02-13T21:34:38Z
dc.date.issued2018-01-24
dc.identifier.issn0010-3616
dc.identifier.urihttp://hdl.handle.net/20.500.11824/928
dc.description.abstractWe supplement the determinantal and Pfaffian bounds of Sims and Warzel (Commun Math Phys 347:903--931, 2016) for many-body localization of quasi-free fermions, by considering the high dimensional case and complex-time correlations. Our proof uses the analyticity of correlation functions via the Hadamard three-line theorem. We show that the dynamical localization for the one-particle system yields the dynamical localization for the many-point fermionic correlation functions, with respect to the Hausdorff distance in the determinantal case. In Sims and Warzel (2016), a stronger notion of decay for many-particle configurations was used but only at dimension one and for real times. Considering determinantal and Pfaffian correlation functionals for complex times is important in the study of weakly interacting fermions.en_US
dc.description.sponsorshipFAPESP, the CNPq, the Basque Government through the grant IT641-13en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectdisordered fermion systemen_US
dc.subjectmany-body localizationen_US
dc.subjectdeterminant bounden_US
dc.titleDecay of Complex-time Determinantal and Pfaffian\ Correlation Functionals in Latticesen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s00220-018-3121-0
dc.relation.publisherversionhttps://doi.org/10.1007/s00220-018-3121-0en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleCommun. Math. Phys.en_US


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