Global Ashkin-Teller Phase Diagrams in Two and Three Dimensions: Multicritical Bifurcation Versus Double Tricriticality-Endpoint

dc.authorid Kecoglu, Ibrahim/0000-0002-2141-8401
dc.authorid Berker, A/0000-0002-5172-2172
dc.authorscopusid 57219371537
dc.authorscopusid 6701401118
dc.contributor.author Kecoglu, Ibrahim
dc.contributor.author Berker, Ahmet Nihat
dc.contributor.author Berker, A. Nihat
dc.contributor.other Electrical-Electronics Engineering
dc.date.accessioned 2024-06-23T21:38:26Z
dc.date.available 2024-06-23T21:38:26Z
dc.date.issued 2023
dc.department Kadir Has University en_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 USA en_US
dc.description Kecoglu, Ibrahim/0000-0002-2141-8401; Berker, A/0000-0002-5172-2172 en_US
dc.description.abstract The 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.sponsorship Academy of Sciences of Turkey (TUEBA) en_US
dc.description.sponsorship Support by the Academy of Sciences of Turkey (TUEBA) is gratefully acknowledged. en_US
dc.identifier.citationcount 0
dc.identifier.doi 10.1016/j.physa.2023.129248
dc.identifier.issn 0378-4371
dc.identifier.issn 1873-2119
dc.identifier.scopus 2-s2.0-85173582720
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1016/j.physa.2023.129248
dc.identifier.uri https://hdl.handle.net/20.500.12469/5798
dc.identifier.volume 630 en_US
dc.identifier.wos WOS:001099292000001
dc.identifier.wosquality Q2
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 1
dc.subject First and second-order phase transitions en_US
dc.subject Bifurcation, tricritical, critical-end points en_US
dc.subject Exact renormalization-group solution en_US
dc.subject Hierarchical lattices in d=2 and 3 en_US
dc.subject Ashkin-Teller spin model en_US
dc.title Global Ashkin-Teller Phase Diagrams in Two and Three Dimensions: Multicritical Bifurcation Versus Double Tricriticality-Endpoint en_US
dc.type Article en_US
dc.wos.citedbyCount 1
dspace.entity.type Publication
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