Spin-Glass Phases and Multichaos in the Ashkin-Teller Model
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| Format: | Preprint |
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2025
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| _version_ | 1866911038432083968 |
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| author | Saray, Alican Berker, A. Nihat |
| author_facet | Saray, Alican Berker, A. Nihat |
| contents | The global phase diagram of the Ashkin-Teller spin glass is calculated in d = 3 spatial dimensions by renormalization-group theory. Depending on the value of the positive or negative four-spin interaction, qualitatively different topologies are found for the spin-glass phase diagram in the usual variables of temperature and fraction of antiferromagnetic nearest-neighbor interactions. Two different spin-glass phases occur. Both spin-glass phases are chaotic. One spin-glass exhibits phase reentrance that is reverse from the reentrances seen in previous spin-glass phase diagrams. Seven different phases: Ferromagnetic and antiferromagnetic, entropic ferromagnetic and entropic antiferromagnetic, spin-glass and entropic spin-glass, and disordered phases occur. The entropic ferromagnetic phase unusually but understandably occurs at temperatures above one spin-glass phase. A random disorder line is identified and no phase transition occurs on this lie. Our calculation is exact on the d = 3 hierarchical lattice and Migdal-Kadanoff approximate on the cubic lattice. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_03130 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spin-Glass Phases and Multichaos in the Ashkin-Teller Model Saray, Alican Berker, A. Nihat Disordered Systems and Neural Networks Statistical Mechanics The global phase diagram of the Ashkin-Teller spin glass is calculated in d = 3 spatial dimensions by renormalization-group theory. Depending on the value of the positive or negative four-spin interaction, qualitatively different topologies are found for the spin-glass phase diagram in the usual variables of temperature and fraction of antiferromagnetic nearest-neighbor interactions. Two different spin-glass phases occur. Both spin-glass phases are chaotic. One spin-glass exhibits phase reentrance that is reverse from the reentrances seen in previous spin-glass phase diagrams. Seven different phases: Ferromagnetic and antiferromagnetic, entropic ferromagnetic and entropic antiferromagnetic, spin-glass and entropic spin-glass, and disordered phases occur. The entropic ferromagnetic phase unusually but understandably occurs at temperatures above one spin-glass phase. A random disorder line is identified and no phase transition occurs on this lie. Our calculation is exact on the d = 3 hierarchical lattice and Migdal-Kadanoff approximate on the cubic lattice. |
| title | Spin-Glass Phases and Multichaos in the Ashkin-Teller Model |
| topic | Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2507.03130 |