Spin-s spin-glass phases in the d=3 Ising model

dc.authoridArtun, Erbil Can/0000-0002-9624-3124
dc.authoridBerker, A/0000-0002-5172-2172
dc.authorwosidArtun, Erbil Can/AAR-1225-2021
dc.contributor.authorArtun, E. Can
dc.contributor.authorBerker, A. Nihat
dc.date.accessioned2023-10-19T15:11:32Z
dc.date.available2023-10-19T15:11:32Z
dc.date.issued2021
dc.department-temp[Artun, E. Can; Berker, A. Nihat] Kadir Has Univ, Fac Engn & Nat Sci, TR-34083 Istanbul, Turkey; [Berker, A. Nihat] MIT, Dept Phys, Cambridge, MA 02139 USAen_US
dc.description.abstractAll higher-spin (s >= 1/2) Ising spin glasses are studied by renormalization-group theory in spatial dimension d = 3, exactly on a d = 3 hierarchical model and, simultaneously, by the Migdal-Kadanoff approximation on the cubic lattice. The s-sequence of global phase diagrams, the chaos Lyapunov exponent, and the spin-glass runaway exponent are calculated. It is found that, in d = 3, a finite-temperature spin-glass phase occurs for all spin values, including the continuum limit of s -> infinity. The phase diagrams, with increasing spin s, saturate to a limit value. The spin-glass phase, for all s, exhibits chaotic behavior under rescalings, with the calculated Lyapunov exponent of lambda = 1.93 and runaway exponent of y(R) = 0.24, showing simultaneous strong-chaos and strong-coupling behavior. The ferromagnetic-spin-glass and spin-glass-antiferromagnetic phase transitions occurring, along their whole length, respectively at p(t) = 0.37 and 0.63 are unaffected by s, confirming the percolative nature of this phase transition.en_US
dc.description.sponsorshipKadir Has University Doctoral Studies Scholarship Fund; Academy of Sciences of Turkey (TuBA)en_US
dc.description.sponsorshipSupport by the Kadir Has University Doctoral Studies Scholarship Fund and by the Academy of Sciences of Turkey (TuBA) is gratefully acknowledged.en_US
dc.identifier.citation1
dc.identifier.doi10.1103/PhysRevE.104.044131en_US
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.issue4en_US
dc.identifier.pmid34781492en_US
dc.identifier.scopus2-s2.0-85117719130en_US
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1103/PhysRevE.104.044131
dc.identifier.urihttps://hdl.handle.net/20.500.12469/5072
dc.identifier.volume104en_US
dc.identifier.wosWOS:000711025900003en_US
dc.identifier.wosqualityQ1
dc.khas20231019-WoSen_US
dc.language.isoenen_US
dc.publisherAmer Physical Socen_US
dc.relation.ispartofPhysical Review Een_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLower Critical DimensionEn_Us
dc.subjectHigh-Temperature SeriesEn_Us
dc.subjectRenormalization-GroupEn_Us
dc.subjectHierarchical LatticesEn_Us
dc.subjectConfluent SingularitiesEn_Us
dc.subjectSystemsEn_Us
dc.subjectTransitionsEn_Us
dc.subjectSusceptibilityEn_Us
dc.subjectExpansionsEn_Us
dc.subject1st-OrderEn_Us
dc.subjectLower Critical Dimension
dc.subjectHigh-Temperature Series
dc.subjectRenormalization-Group
dc.subjectHierarchical Lattices
dc.subjectConfluent Singularities
dc.subjectSystems
dc.subjectTransitions
dc.subjectSusceptibility
dc.subjectExpansions
dc.subject1st-Order
dc.titleSpin-s spin-glass phases in the d=3 Ising modelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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