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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2408.12108 |
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| _version_ | 1866929469365682176 |
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| author | Lourenço, José A. S. Pará, Ygor Furtado, J. |
| author_facet | Lourenço, José A. S. Pará, Ygor Furtado, J. |
| contents | In this paper we investigate the arising of non-hermitian phase transitions on quantum torus surfaces. We consider a single fermion whose dynamics is governed by the Dirac equation confined to move on a quantum torus surface. The effects of the geometry are take into account by using the tetrad formalism and the spin connection. The Dirac equation gives rise to two coupled first-order differential equations for each spinor component. The eigenvalues and eigenfunctions for each spinor component are computed numerically and the non-hermitian phase transitions are investigated in terms of the geometric features of the torus and the magnitude of the imaginary component of the mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12108 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiple non-hermitian phase transitions on quantum torus surface Lourenço, José A. S. Pará, Ygor Furtado, J. Quantum Physics In this paper we investigate the arising of non-hermitian phase transitions on quantum torus surfaces. We consider a single fermion whose dynamics is governed by the Dirac equation confined to move on a quantum torus surface. The effects of the geometry are take into account by using the tetrad formalism and the spin connection. The Dirac equation gives rise to two coupled first-order differential equations for each spinor component. The eigenvalues and eigenfunctions for each spinor component are computed numerically and the non-hermitian phase transitions are investigated in terms of the geometric features of the torus and the magnitude of the imaginary component of the mass. |
| title | Multiple non-hermitian phase transitions on quantum torus surface |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.12108 |