Nematic ordering in the Heisenberg spin-glass system in three dimensions

dc.authoridBerker, A/0000-0002-5172-2172
dc.contributor.authorBerker, Ahmet Nihat
dc.contributor.authorBerker, A. Nihat
dc.date.accessioned2023-10-19T15:11:33Z
dc.date.available2023-10-19T15:11:33Z
dc.date.issued2023
dc.department-temp[Tunca, Egemen] Istanbul Univ, TEBIP High Performers Program, Board Higher Educ Turkey, TR-34452 Istanbul, Turkiye; [Berker, A. Nihat] Kadir Has Univ, Fac Engn & Nat Sci, TR-34083 Istanbul, Turkiye; [Berker, A. Nihat] TUBITAK Res Inst Fundamental Sci, TR-41470 Kocaeli, Turkiye; [Berker, A. Nihat] MIT, Dept Phys, Cambridge, MA 02139 USAen_US
dc.description.abstractNematic ordering, where the spins globally align along a spontaneously chosen axis irrespective of direction, occurs in spin-glass systems of classical Heisenberg spins in d = 3. In this system where the nearest-neighbor interactions are quenched randomly ferromagnetic or antiferromagnetic, instead of the locally randomly ordered spin-glass phase, the system orders globally as a nematic phase. This nematic ordering of the Heisenberg spin -glass system is dramatically different from the spin-glass ordering of the Ising spin-glass system. The system is solved exactly on a hierarchical lattice and, equivalently, Migdal-Kadanoff approximately on a cubic lattice. The global phase diagram is calculated, exhibiting this nematic phase, and ferromagnetic, antiferromagnetic, disordered phases. The nematic phase of the classical Heisenberg spin-glass system is also found in other dimensions d > 2: We calculate nematic transition temperatures in 24 different dimensions in 2 < d 4.en_US
dc.description.sponsorshipTEBIP High Performers Program of the Board of Higher Education of Turkey; Academy of Sciences of Turkey (TUBA)en_US
dc.description.sponsorshipWe grateful to E. Can Artun for useful conversations. Support by the TEBIP High Performers Program of the Board of Higher Education of Turkey and by the Academy of Sciences of Turkey (TUBA) is gratefully acknowledged.en_US
dc.identifier.citation2
dc.identifier.doi10.1103/PhysRevE.107.014116en_US
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.issue1en_US
dc.identifier.pmid36797935en_US
dc.identifier.scopus2-s2.0-85146644005en_US
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1103/PhysRevE.107.014116
dc.identifier.urihttps://hdl.handle.net/20.500.12469/5077
dc.identifier.volume107en_US
dc.identifier.wosWOS:000921262600006en_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.subjectHierarchical LatticesEn_Us
dc.subjectSymmetry-BreakingEn_Us
dc.subjectRenormalizationEn_Us
dc.subjectModelsEn_Us
dc.subjectParameterEn_Us
dc.subjectHierarchical Lattices
dc.subjectSymmetry-Breaking
dc.subjectRenormalization
dc.subjectModels
dc.subjectParameter
dc.titleNematic ordering in the Heisenberg spin-glass system in three dimensionsen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationdb2f6241-4861-48d5-b8ca-f0482a4d86b3
relation.isAuthorOfPublication.latestForDiscoverydb2f6241-4861-48d5-b8ca-f0482a4d86b3

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