XY-Ashkin Phase Diagram in D=3
| dc.contributor.author | Turkoglu, Alpar | |
| dc.contributor.author | Berker, A. Nihat | |
| dc.date.accessioned | 2025-07-15T18:46:19Z | |
| dc.date.available | 2025-07-15T18:46:19Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | The phase diagram of the Ashkin-Tellerized XY model in spatial dimension d = 3 is calculated by renormalization-group theory. In this system, each site has two spins, each spin being an XY spin, that is having orientation continuously varying in 2 pi radians. Nearest-neighbor sites are coupled by two-spin and four-spin interactions. The phase diagram has ordered phases that are ferromagnetic and antiferromagnetic in each of the spins, and phases that are ferromagnetic and antiferromagnetic in the multiplicative spin variable. The phase diagram distinctively exhibits a pair of symmetrically situated direct bifurcation points and a pair of symmetrically situated reverse bifurcation points of the phase boundaries. The renormalization-group flows are in terms of the doubly composite Fourier coefficients of the exponentiated energy of nearest-neighbor spins. | en_US |
| dc.description.sponsorship | Academy of Sciences of Turkey (TUBA) | en_US |
| dc.description.sponsorship | Support by the Academy of Sciences of Turkey (TUBA) is gratefully acknowledged. | en_US |
| dc.identifier.doi | 10.1016/j.physa.2025.130715 | |
| dc.identifier.issn | 0378-4371 | |
| dc.identifier.issn | 1873-2119 | |
| dc.identifier.scopus | 2-s2.0-105007743915 | |
| dc.identifier.uri | https://doi.org/10.1016/j.physa.2025.130715 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12469/7399 | |
| 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 | Doubled-Up Ashkin-Teller Complexity | en_US |
| dc.subject | Two Continuously Orientable Spins Per Site | en_US |
| dc.subject | Double Fourier Series Renormalization Group | en_US |
| dc.subject | Global Phase Diagram | en_US |
| dc.subject | Four Different Ordered Phases | en_US |
| dc.subject | Reverse Bifurcation Points | en_US |
| dc.title | XY-Ashkin Phase Diagram in D=3 | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.description.department | Kadir Has University | en_US |
| gdc.description.departmenttemp | [Turkoglu, Alpar] Bogazici Univ, Dept Phys, TR-34342 Istanbul, Turkiye; [Turkoglu, Alpar] Bogazici Univ, Dept Elect & Elect Engn, TR-34342 Istanbul, Turkiye; [Berker, A. Nihat] Kadir Has Univ, Fac Engn & Nat Sci, TR-34083 Istanbul, Turkiye; [Berker, A. Nihat] TUBITAK Res Inst Basic 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 |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 130715 | |
| gdc.description.volume | 674 | en_US |
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| gdc.oaire.keywords | Statistical Mechanics (cond-mat.stat-mech) | |
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| gdc.virtual.author | Berker, Ahmet Nihat | |
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