Global Ashkin-Teller phase diagrams in two and three dimensions: Multicritical bifurcation versus double tricriticality-endpoint

dc.authoridKecoglu, Ibrahim/0000-0002-2141-8401
dc.authoridBerker, A/0000-0002-5172-2172
dc.authorscopusid57219371537
dc.authorscopusid6701401118
dc.contributor.authorBerker, Ahmet Nihat
dc.contributor.authorBerker, A. Nihat
dc.date.accessioned2024-06-23T21:38:26Z
dc.date.available2024-06-23T21:38:26Z
dc.date.issued2023
dc.departmentKadir Has Universityen_US
dc.department-temp[Kecoglu, Ibrahim] Bogazici Univ, Dept Phys, TR-34342 Istanbul, Turkiye; [Kecoglu, Ibrahim] Bogazici Univ, Dept Math, TR-34342 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 Gebze, Kocaeli, Turkiye; [Berker, A. Nihat] MIT, Dept Phys, Cambridge, MA 02139 USAen_US
dc.descriptionKecoglu, Ibrahim/0000-0002-2141-8401; Berker, A/0000-0002-5172-2172en_US
dc.description.abstractThe global phase diagrams of the Ashkin-Teller model are calculated in d = 2 and 3 by renormalization-group theory that is exact on the hierarchical lattice and approximate on the recently improved Migdal-Kadanoff procedure. Three different ordered phases occur in the dimensionally distinct phase diagrams that reflect three-fold order-parameter permutation symmetry, a closed symmetry line, and a quasi-disorder line. First- and second-order phase boundaries are obtained. In d = 2, second-order phase transitions meeting at a bifurcation point are seen. In d = 3, first- and second-order phase transitions are separated by tricritical and critical endpoints.en_US
dc.description.sponsorshipAcademy of Sciences of Turkey (TUEBA)en_US
dc.description.sponsorshipSupport by the Academy of Sciences of Turkey (TUEBA) is gratefully acknowledged.en_US
dc.identifier.citation0
dc.identifier.doi10.1016/j.physa.2023.129248
dc.identifier.issn0378-4371
dc.identifier.issn1873-2119
dc.identifier.scopus2-s2.0-85173582720
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1016/j.physa.2023.129248
dc.identifier.urihttps://hdl.handle.net/20.500.12469/5798
dc.identifier.volume630en_US
dc.identifier.wosWOS:001099292000001
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFirst and second-order phase transitionsen_US
dc.subjectBifurcation, tricritical, critical-end pointsen_US
dc.subjectExact renormalization-group solutionen_US
dc.subjectHierarchical lattices in d=2 and 3en_US
dc.subjectAshkin-Teller spin modelen_US
dc.titleGlobal Ashkin-Teller phase diagrams in two and three dimensions: Multicritical bifurcation versus double tricriticality-endpointen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationdb2f6241-4861-48d5-b8ca-f0482a4d86b3
relation.isAuthorOfPublication.latestForDiscoverydb2f6241-4861-48d5-b8ca-f0482a4d86b3

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