First-order and Berezinskii-Kosterlitz-Thouless phase transitions in two-dimensional generalized XY models
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909331636617216 |
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| author | da Silva, P. A. Campos-Lopes, R. J. Pereira, A. R. |
| author_facet | da Silva, P. A. Campos-Lopes, R. J. Pereira, A. R. |
| contents | The aim of this paper is to illustrate that generalized two-dimensional XY models (proposed by Romano and Zagrebnov) may also support a first-order phase transition. Two approaches are employed to accurately determine the critical parameter $q$ at which such a transition takes place. Furthermore, we show that the model is characterized by three distinct regions concerning both first-order and Berezinskii-Kosterlitz-Thouless phase transitions. Finally, the underlying mechanisms governing such transitions are presented, along with an estimation of the critical temperatures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04059 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | First-order and Berezinskii-Kosterlitz-Thouless phase transitions in two-dimensional generalized XY models da Silva, P. A. Campos-Lopes, R. J. Pereira, A. R. Statistical Mechanics The aim of this paper is to illustrate that generalized two-dimensional XY models (proposed by Romano and Zagrebnov) may also support a first-order phase transition. Two approaches are employed to accurately determine the critical parameter $q$ at which such a transition takes place. Furthermore, we show that the model is characterized by three distinct regions concerning both first-order and Berezinskii-Kosterlitz-Thouless phase transitions. Finally, the underlying mechanisms governing such transitions are presented, along with an estimation of the critical temperatures. |
| title | First-order and Berezinskii-Kosterlitz-Thouless phase transitions in two-dimensional generalized XY models |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2406.04059 |