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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1304.7146 |
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| _version_ | 1866914847518621696 |
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| author | Qin, M. P. Chen, J. Chen, Q. N. Xie, Z. Y. Kong, X. Zhao, H. H. Normand, B. Xiang, T. |
| author_facet | Qin, M. P. Chen, J. Chen, Q. N. Xie, Z. Y. Kong, X. Zhao, H. H. Normand, B. Xiang, T. |
| contents | We explore the Potts model on the generalized decorated square lattice, with both nearest (J1) and next-neighbor (J2) interactions. Using the tensor renormalization-group method augmented by higher-order singular value decompositions, we calculate the spontaneous magnetization of the Potts model with q = 2, 3, and 4. The results for q = 2 allow us to benchmark our numerics using the exact solution. For q = 3, we find a highly degenerate ground state with partial order on a single sublattice, but with vanishing entropy per site, and we obtain the phase diagram as a function of the ratio J2=J1. There is no finite-temperature transition for the q = 4 case when J1 = J2, but the magnetic susceptibility diverges as the temperature goes to zero, showing that the model is critical at T = 0. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1304_7146 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Partial order in Potts models on the generalized decorated square lattice Qin, M. P. Chen, J. Chen, Q. N. Xie, Z. Y. Kong, X. Zhao, H. H. Normand, B. Xiang, T. Statistical Mechanics We explore the Potts model on the generalized decorated square lattice, with both nearest (J1) and next-neighbor (J2) interactions. Using the tensor renormalization-group method augmented by higher-order singular value decompositions, we calculate the spontaneous magnetization of the Potts model with q = 2, 3, and 4. The results for q = 2 allow us to benchmark our numerics using the exact solution. For q = 3, we find a highly degenerate ground state with partial order on a single sublattice, but with vanishing entropy per site, and we obtain the phase diagram as a function of the ratio J2=J1. There is no finite-temperature transition for the q = 4 case when J1 = J2, but the magnetic susceptibility diverges as the temperature goes to zero, showing that the model is critical at T = 0. |
| title | Partial order in Potts models on the generalized decorated square lattice |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/1304.7146 |