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dc.contributor.authorChen, Jiahao
dc.contributor.authorHontz, Eric
dc.contributor.authorMoix, Jeremy
dc.contributor.authorWelborn, Matthew
dc.contributor.authorVan Voorhis, Troy
dc.contributor.authorSuárez González, Alberto 
dc.contributor.authorMovassagh, Ramis
dc.contributor.authorEdelman, Alan
dc.contributor.otherUAM. Departamento de Ingeniería Informáticaes_ES
dc.date.accessioned2015-06-09T17:17:27Z
dc.date.available2015-06-09T17:17:27Z
dc.date.issued2012-07-17
dc.identifier.citationPhysical Review Letters 109 (2012): 036403en_US
dc.identifier.issn0031-9007 (print)en_US
dc.identifier.issn1079-7114 (online)en_US
dc.identifier.urihttp://hdl.handle.net/10486/666658
dc.description.abstractTheoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the electronic structure of disordered systems. We use free probability to approximate the ensemble-averaged density of states without exact diagonalization. We present an error analysis that quantifies the accuracy using a generalized moment expansion, allowing us to distinguish between different approximations. We identify an approximation that is accurate to the eighth moment across all noise strengths, and contrast this with perturbation theory and isotropic entanglement theory.en_US
dc.description.sponsorshipJ. C., E. H., M.W., T.V., R. M., and A. E. acknowledge funding from NSF SOLAR Grant No. 1035400. J.M. acknowledges support from NSF CHE Grant No. 1112825 and DARPA Grant No. N99001-10-1-4063. A. E. acknowledges additional funding from NSF DMS Grant No. 1016125. A. S. acknowledges funding from Spain’s Dirección General de Investigación, Project TIN2010-21575-C02-02. We thank Jonathan Novak, Sebastiaan Vlaming, and Raj Rao for insightful discussionsen_US
dc.format.extent5 pág.es_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherAmerican Physical Societyen_US
dc.relation.ispartofPhysical Review Lettersen_US
dc.rights© 2012 American Physical Societyen_US
dc.subject.otherDisordered Systems and Neural Networksen_US
dc.subject.otherStatistics Theoryen_US
dc.subject.otherChemical Physicsen_US
dc.subject.otherQuantum Physicsen_US
dc.titleError analysis of free probability approximations to the density of states of disordered systemsen_US
dc.typearticleen_US
dc.subject.ecienciaInformáticaes_ES
dc.relation.publisherversionhttp://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.036403
dc.identifier.doi10.1103/PhysRevLett.109.036403
dc.identifier.publicationfirstpage036403
dc.identifier.publicationissue3
dc.identifier.publicationlastpage036403
dc.identifier.publicationvolume109
dc.type.versioninfo:eu-repo/semantics/publishedVersionen
dc.contributor.groupAprendizaje Automático (ING EPS-001)es_ES
dc.rights.accessRightsopenAccessen
dc.facultadUAMEscuela Politécnica Superior


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