Global Ashkin-Teller Phase Diagrams in Two and Three Dimensions: Multicritical Bifurcation versus Double Tricriticality Endpoint
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909499282948096 |
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| author | Kecoglu, Ibrahim Berker, A. Nihat |
| author_facet | Kecoglu, Ibrahim Berker, A. Nihat |
| contents | The global phase diagrams of the Askin-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12201 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global Ashkin-Teller Phase Diagrams in Two and Three Dimensions: Multicritical Bifurcation versus Double Tricriticality Endpoint Kecoglu, Ibrahim Berker, A. Nihat Statistical Mechanics The global phase diagrams of the Askin-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. |
| title | Global Ashkin-Teller Phase Diagrams in Two and Three Dimensions: Multicritical Bifurcation versus Double Tricriticality Endpoint |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2502.12201 |