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Universality in phase boundary slopes for spin glasses on self-dual lattices

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dc.contributor.authorOhzeki, Masayuki
dc.contributor.authorThomas, Creighton K.
dc.contributor.authorKatzgraber, Helmut G.
dc.contributor.authorBombin, H.
dc.contributor.authorMartín-Delgado Alcántara, Miguel Ángel
dc.date.accessioned2023-06-20T00:38:11Z
dc.date.available2023-06-20T00:38:11Z
dc.date.issued2011-02-01
dc.description© 2011 IOP Publishing Ltd and SISSA. We would like to thank A. P. Young and H. Nishimori for fruitful discussions. M.O. acknowledges support from the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Young Scientists (B) under Grant No. 20740218. He would also like to thank the Texas A&M University Physics and Astronomy Department for their hospitality during a visit. M.A.M-D. and H.B. acknowledge financial support from the Spanish MICINN Grant No. FIS2009-10061, the CAM research consortium QUITEMAD S2009-ESP-1594, the European Commission PICC: FP7 2007-2013 (Grant No. 249958), and UCM-BS Grant No. GICC-910758. H.G.K. acknowledges support from the Swiss National Science Foundation (Grant No. PP002-114713). The authors acknowledge Texas A&M University for access to their hydra and eos cluster, the Texas Advanced Computing Center (TACC) at The University of Texas at Austin for providing HPC resources (Ranger Sun Constellation Linux Cluster), the Centro de Supercomputación y Visualización de Madrid (CeSViMa) for access to the magerit cluster, the Barcelona Supercomputing Center for access to the MareNostrum cluster within the Spanish Supercomputing Network and ETH Zurich for CPU time on the Brutus cluster.
dc.description.abstractWe study the effects of disorder on the slope of the disorder–temperature phase boundary near the Onsager point (T_(c) = 2.269 . . .) in spin-glass models. So far, studies have focused on marginal or irrelevant cases of disorder. Using duality arguments, as well as exact Pfaffian techniques we reproduce these analytical estimates. In addition, we obtain different estimates for spin-glass models on hierarchical lattices where the effects of disorder are relevant. We show that the phase-boundary slope near the Onsager point can be used to probe for the relevance of disorder effects.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. FP7
dc.description.sponsorshipMinisterio de Educación, Cultura y Deporte (MECD)
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipComunidad de Madrid
dc.description.sponsorshipUniversidad Complutense de Madrid/Banco de Santander
dc.description.sponsorshipSwiss National Science Foundation
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/47842
dc.identifier.doi10.1088/1742-5468/2011/02/P02004
dc.identifier.issn1742-5468
dc.identifier.officialurlhttp://dx.doi.org/10.1088/1742-5468/2011/02/P02004
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttps://arxiv.org/abs/1009.6015v2
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42825
dc.journal.titleJournal of statistical mechanics : theory and experiment
dc.language.isoeng
dc.publisherIOP Publishing
dc.relation.projectIDPICC (249958)
dc.relation.projectIDFIS2009-10061
dc.relation.projectID20740218
dc.relation.projectIDQUITEMAD S2009-ESP-1594
dc.relation.projectIDGICC-910758
dc.relation.projectIDPP002-114713
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordRandom Ising-model
dc.subject.keywordHierarchical lattices
dc.subject.keywordRenormalization-group
dc.subject.keywordMulticritical point
dc.subject.keywordTransition
dc.subject.keywordFerromagnet
dc.subject.keywordStatistics
dc.subject.keywordImpurities
dc.subject.keywordAlgorithm
dc.subject.keywordBehavior.
dc.subject.ucmFísica-Modelos matemáticos
dc.titleUniversality in phase boundary slopes for spin glasses on self-dual lattices
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublication1cfed495-7729-410a-b898-8196add14ef6
relation.isAuthorOfPublication.latestForDiscovery1cfed495-7729-410a-b898-8196add14ef6

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