Renormalization-group theory of the Heisenberg model in d dimensions

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dc.authoridBerker, A/0000-0002-5172-2172
dc.contributor.authorBerker, Ahmet Nihat
dc.contributor.authorBerker, A. Nihat
dc.date.accessioned2023-10-19T15:11:40Z
dc.date.available2023-10-19T15:11:40Z
dc.date.issued2022
dc.department-temp[Tunca, Egemen] Istanbul Univ, TEBIP High Performers Program, Board Higher Educ Turkey, TR-34452 Istanbul, Turkey; [Berker, A. Nihat] Kadir Has Univ, Fac Engn & Nat Sci, TR-34083 Istanbul, Turkey; [Berker, A. Nihat] TUBITAK Res Inst Fundamental Sci, TR-41470 Gebze, Kocaeli, Turkey; [Berker, A. Nihat] MIT, Dept Phys, Cambridge, MA 02139 USAen_US
dc.description.abstractThe classical Heisenberg model has been solved in spatial d dimensions, exactly in d = 1 and by the Migdal-Kadanoff approximation in d > 1, by using a Fourier-Legendre expansion. The phase transition temperatures, the energy densities, and the specific heats are calculated in arbitrary dimension d. Fisher's exact result is recovered in d = 1. The absence of an ordered phase, conventional or algebraic (in contrast to the XY model yielding an algebraically ordered phase) is recovered in d = 2. A conventionally ordered phase occurs at d > 2. This method opens the way to complex-system calculations with Heisenberg local degrees of freedom.(c) 2022 Elsevier B.V. All rights reserved.en_US
dc.description.sponsorshipTEBIP High Performers Program of the Board of Higher Education of Turkey; Academy of Sciences of Turkey; [T?BA]en_US
dc.description.sponsorshipAcknowledgments Support by the TEBIP High Performers Program of the Board of Higher Education of Turkey and by the Academy of Sciences of Turkey (T?BA) is gratefully acknowledged.en_US
dc.identifier.citation2
dc.identifier.doi10.1016/j.physa.2022.128300en_US
dc.identifier.issn0378-4371
dc.identifier.issn1873-2119
dc.identifier.scopus2-s2.0-85142763874en_US
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1016/j.physa.2022.128300
dc.identifier.urihttps://hdl.handle.net/20.500.12469/5158
dc.identifier.volume608en_US
dc.identifier.wosWOS:000912029800001en_US
dc.identifier.wosqualityQ2
dc.khas20231019-WoSen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofPhysica A-Statistical Mechanics and Its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHierarchical LatticesEn_Us
dc.subjectPhase-TransitionsEn_Us
dc.subjectMigdal-KadanoffEn_Us
dc.subjectPotts ModelsEn_Us
dc.subjectSpin SystemsEn_Us
dc.subjectFieldEn_Us
dc.subjectHierarchical Lattices
dc.subjectPhase transitionsen_US
dc.subjectPhase-Transitions
dc.subjectSpin modelsen_US
dc.subjectMigdal-Kadanoff
dc.subjectFree energyen_US
dc.subjectPotts Models
dc.subjectInternal energyen_US
dc.subjectSpin Systems
dc.subjectSpecific heaten_US
dc.subjectField
dc.subjectRenormalization-group theoryen_US
dc.titleRenormalization-group theory of the Heisenberg model in d 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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