Lower critical dimension of the random-field XY model and the zero-temperature critical line

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.issued2022
dc.department-temp[Akin, Kutay] Bogazici Univ, Dept Elect & Elect Engn, TR-34342 Istanbul, Turkey; [Akin, Kutay] Bogazici Univ, Dept Phys, TR-34342 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 Kocaeli, Turkey; [Berker, A. Nihat] MIT, Dept Phys, Cambridge, MA 02139 USAen_US
dc.description.abstractThe random-field XY model is studied in spatial dimensions d = 3 and 4, and in between, as the limit q -> infinity of the q-state clock models, by the exact renormalization-group solution of the hierarchical lattice or, equivalently, the Migdal-Kadanoff approximation to the hypercubic lattices. The lower critical dimension is determined between 3.81 < d(c) < 4. When the random field is scaled with q, a line segment of zero-temperature criticality is found in d = 3. When the random field is scaled with q(2), a universal phase diagram is found at intermediate temperatures in d = 3.en_US
dc.description.sponsorshipAcademy of Sciences of Turkey (TUBA)en_US
dc.description.sponsorshipSupport by the Academy of Sciences of Turkey (TUBA) is gratefully acknowledged.en_US
dc.identifier.citation6
dc.identifier.doi10.1103/PhysRevE.106.014151en_US
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.issue1en_US
dc.identifier.pmid35974548en_US
dc.identifier.scopus2-s2.0-85136330009en_US
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1103/PhysRevE.106.014151
dc.identifier.urihttps://hdl.handle.net/20.500.12469/5076
dc.identifier.volume106en_US
dc.identifier.wosWOS:000835312400003en_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.subjectPhase-TransitionsEn_Us
dc.subjectCritical-BehaviorEn_Us
dc.subjectSpin SystemsEn_Us
dc.subjectIsing-ModelEn_Us
dc.subjectRenormalizationEn_Us
dc.subjectHierarchical Lattices
dc.subjectPhase-Transitions
dc.subjectCritical-Behavior
dc.subjectSpin Systems
dc.subjectIsing-Model
dc.subjectRenormalization
dc.titleLower critical dimension of the random-field XY model and the zero-temperature critical lineen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationdb2f6241-4861-48d5-b8ca-f0482a4d86b3
relation.isAuthorOfPublication.latestForDiscoverydb2f6241-4861-48d5-b8ca-f0482a4d86b3

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