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Error Analysis of Free Probability Approximations to the Density of States of Disordered Systems

dc.contributor.authorChen, Jiahao
dc.contributor.authorHontz, Eric Richard
dc.contributor.authorMoix, Jeremy
dc.contributor.authorVan Voorhis, Troy
dc.contributor.authorWelborn, Matthew Gregory
dc.contributor.authorSuárez, Alberto
dc.contributor.authorMovassagh, Ramis
dc.contributor.authorEdelman, Alan
dc.date.accessioned2012-08-15T15:58:27Z
dc.date.available2012-08-15T15:58:27Z
dc.date.issued2012-07
dc.date.submitted2012-02
dc.identifier.issn0031-9007
dc.identifier.issn1079-7114
dc.identifier.urihttp://hdl.handle.net/1721.1/72145
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.sponsorshipNational Science Foundation (U.S.). Division of Chemistry (grant no. 1112825)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (SOLAR grant no. 1035400)en_US
dc.description.sponsorshipUnited States. Defense Advanced Research Projects Agency (grant no. N99001-10-1-4063)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (DMS grant no. 1016125)en_US
dc.language.isoen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevLett.109.036403en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAPSen_US
dc.titleError Analysis of Free Probability Approximations to the Density of States of Disordered Systemsen_US
dc.typeArticleen_US
dc.identifier.citationChen, Jiahao et al. “Error Analysis of Free Probability Approximations to the Density of States of Disordered Systems.” Physical Review Letters 109.3 (2012): 036403. © 2012 American Physical Society.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Chemistryen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.approverEdelman, Alan
dc.contributor.mitauthorChen, Jiahao
dc.contributor.mitauthorHontz, Eric Richard
dc.contributor.mitauthorMoix, Jeremy
dc.contributor.mitauthorVan Voorhis, Troy
dc.contributor.mitauthorWelborn, Matthew Gregory
dc.contributor.mitauthorMovassagh, Ramis
dc.contributor.mitauthorEdelman, Alan
dc.relation.journalPhysical Review Lettersen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsChen, Jiahao; Hontz, Eric; Moix, Jeremy; Welborn, Matthew; Van Voorhis, Troy; Suárez, Alberto; Movassagh, Ramis; Edelman, Alanen
dc.identifier.orcidhttps://orcid.org/0000-0001-8659-6535
dc.identifier.orcidhttps://orcid.org/0000-0002-6547-3402
dc.identifier.orcidhttps://orcid.org/0000-0001-7676-3133
dc.identifier.orcidhttps://orcid.org/0000-0002-4078-6752
dc.identifier.orcidhttps://orcid.org/0000-0001-7111-0176
mit.licensePUBLISHER_CCen_US
mit.metadata.statusComplete


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