Crossover and universality breaking in the dilute Baxter-Wu model
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917490840305664 |
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| author | Mataragkas, Dimitrios Vasilopoulos, Alexandros Kim, Dong-Hee Fytas, Nikolaos G. |
| author_facet | Mataragkas, Dimitrios Vasilopoulos, Alexandros Kim, Dong-Hee Fytas, Nikolaos G. |
| contents | The critical behavior of the Baxter-Wu model belongs to the universality class of the four-state Potts model. While the introduction of annealed vacancies does not alter the criticality of the four-state Potts model, the dilute Baxter-Wu model has remained the subject of several competing scenarios. Here we investigate the phase diagram of the spin-$1$ Baxter-Wu model in the presence of a crystal field using transfer-matrix calculations and large-scale Monte Carlo simulations. Our results provide strong evidence for continuously varying critical exponents at finite dilution and reveal a crossover to first-order behavior. Along the line of continuous transitions, the central charge remains close to $c=1$, while the scaling dimensions systematically deviate from the spin-$1/2$ limit as the crystal field increases, eventually giving way to a first-order regime at strong fields. These findings resolve previous ambiguities and establish a consistent picture of the critical behavior of the dilute spin-$1$ Baxter-Wu model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_13238 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Crossover and universality breaking in the dilute Baxter-Wu model Mataragkas, Dimitrios Vasilopoulos, Alexandros Kim, Dong-Hee Fytas, Nikolaos G. Statistical Mechanics The critical behavior of the Baxter-Wu model belongs to the universality class of the four-state Potts model. While the introduction of annealed vacancies does not alter the criticality of the four-state Potts model, the dilute Baxter-Wu model has remained the subject of several competing scenarios. Here we investigate the phase diagram of the spin-$1$ Baxter-Wu model in the presence of a crystal field using transfer-matrix calculations and large-scale Monte Carlo simulations. Our results provide strong evidence for continuously varying critical exponents at finite dilution and reveal a crossover to first-order behavior. Along the line of continuous transitions, the central charge remains close to $c=1$, while the scaling dimensions systematically deviate from the spin-$1/2$ limit as the crystal field increases, eventually giving way to a first-order regime at strong fields. These findings resolve previous ambiguities and establish a consistent picture of the critical behavior of the dilute spin-$1$ Baxter-Wu model. |
| title | Crossover and universality breaking in the dilute Baxter-Wu model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2605.13238 |