Exact solution of two-dimensional (2D) Ising model with a transverse field: a low-dimensional quantum spin system
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913634986229760 |
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| author | Zhang, Zhidong |
| author_facet | Zhang, Zhidong |
| contents | The exact solution of ferromagnetic two-dimensional (2D) Ising model with a transverse field, which can be used to describe the critical phenomena in low-dimensional quantum spin systems, is derived by equivalence between the ferromagnetic 2D Ising model with a transverse field and the ferromagnetic three-dimensional (3D) Ising model. The results obtained in this work can be extended to be suitable for the antiferromagnetic 2D Ising model with a transverse field in the cases without frustration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01997 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact solution of two-dimensional (2D) Ising model with a transverse field: a low-dimensional quantum spin system Zhang, Zhidong Statistical Mechanics The exact solution of ferromagnetic two-dimensional (2D) Ising model with a transverse field, which can be used to describe the critical phenomena in low-dimensional quantum spin systems, is derived by equivalence between the ferromagnetic 2D Ising model with a transverse field and the ferromagnetic three-dimensional (3D) Ising model. The results obtained in this work can be extended to be suitable for the antiferromagnetic 2D Ising model with a transverse field in the cases without frustration. |
| title | Exact solution of two-dimensional (2D) Ising model with a transverse field: a low-dimensional quantum spin system |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2501.01997 |