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Eigenvalue analysis of the density matrix of four-dimensional spin glasses supports replica symmetry breaking

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dc.contributor.authorCorreale, L..
dc.contributor.authorMarinari, E.
dc.contributor.authorMartín Mayor, Víctor
dc.date.accessioned2023-06-20T20:27:05Z
dc.date.available2023-06-20T20:27:05Z
dc.date.issued2002-11-01
dc.description© 2002 The American Physical Society. We are very grateful to Giorgio Parisi and to Federico Ricci-Tersenghi for several useful conversations. Our numerical calculations have been carried out in the Pentium Clusters RTN3 (Zaragoza), Idra (ROMA La Sapienza) and KALIX2 (Cagliari). We thank the RTN collaboration for kindly allowing us to use CPU time on their machine. V.M.M. acknowledges financial support by E.C. Contract No. HPMF-CT-2000-00450 and by OCYT (Spain) Project FPA 2001-1813.
dc.description.abstractWe present a general and powerful numerical method useful to study the density matrix of spin models. We apply the method to finite-dimensional spin glasses, and analyze in detail the four-dimensional EdwardsAnderson model with Gaussian quenched random couplings. Our results clearly support the existence of replica symmetry breaking in the thermodynamical limit.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipE.C. Contract
dc.description.sponsorshipOCYT (Spain)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/46438
dc.identifier.doi10.1103/PhysRevB.66.174406
dc.identifier.issn1098-0121
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevB.66.174406
dc.identifier.relatedurlhttps://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/60294
dc.issue.number17
dc.journal.titlePhysical review B
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDHPMF-CT-2000-00450
dc.relation.projectIDFPA 2001-1813
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordMean field-theory
dc.subject.keywordBoundary-conditions
dc.subject.keywordGround-state
dc.subject.keywordMonte-Carlo
dc.subject.keywordSimulations
dc.subject.keywordModel
dc.subject.keywordEquilibrium
dc.subject.keywordOrder.
dc.subject.ucmFísica-Modelos matemáticos
dc.titleEigenvalue analysis of the density matrix of four-dimensional spin glasses supports replica symmetry breaking
dc.typejournal article
dc.volume.number66
dspace.entity.typePublication
relation.isAuthorOfPublication061118c0-eadf-4ee3-8897-2c9b65a6df66
relation.isAuthorOfPublication.latestForDiscovery061118c0-eadf-4ee3-8897-2c9b65a6df66

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