Global Ashkin-Teller Phase Diagrams in Two and Three Dimensions: Multicritical Bifurcation Versus Double Tricriticality-Endpoint
| dc.contributor.author | Kecoglu, Ibrahim | |
| dc.contributor.author | Berker, A. Nihat | |
| dc.date.accessioned | 2024-06-23T21:38:26Z | |
| dc.date.available | 2024-06-23T21:38:26Z | |
| dc.date.issued | 2023 | |
| 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.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.uri | https://doi.org/10.1016/j.physa.2023.129248 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12469/5798 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Physica A: Statistical Mechanics and its Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| 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 |
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| gdc.author.id | Kecoglu, Ibrahim/0000-0002-2141-8401 | |
| gdc.author.id | Berker, A/0000-0002-5172-2172 | |
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| gdc.description.department | Kadir Has University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 129248 | |
| gdc.description.volume | 630 | en_US |
| gdc.description.wosquality | Q2 | |
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| gdc.oaire.keywords | Statistical Mechanics (cond-mat.stat-mech) | |
| gdc.oaire.keywords | FOS: Physical sciences | |
| gdc.oaire.keywords | Condensed Matter - Statistical Mechanics | |
| gdc.oaire.keywords | bifurcation | |
| gdc.oaire.keywords | Ashkin-Teller spin model | |
| gdc.oaire.keywords | tricritical | |
| gdc.oaire.keywords | hierarchical lattices in \(d = 2\) and 3 | |
| gdc.oaire.keywords | critical-end points | |
| gdc.oaire.keywords | exact renormalization-group solution | |
| gdc.oaire.keywords | Statistical mechanics, structure of matter | |
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| gdc.virtual.author | Berker, Ahmet Nihat | |
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