Tensor renormalization of three-dimensional Potts model
Abstract
We study the $q$-state Potts models on a cubic lattice in the thermodynamic limit using tensor renormalization group transformations with the triad approximation. By computing the thermodynamic potentials, we locate the first-order phase transitions for $10 < q \le 20$ which has not been explored using any method. We also examine the efficiency of the triad approximation method in obtaining the fixed-point tensor and comment on how this can be improved.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2022
- DOI:
- 10.48550/arXiv.2201.01789
- arXiv:
- arXiv:2201.01789
- Bibcode:
- 2022arXiv220101789J
- Keywords:
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- High Energy Physics - Lattice;
- Condensed Matter - Statistical Mechanics;
- High Energy Physics - Theory
- E-Print:
- v1: Data table, 8 figures, 1+16 pages, 1 Jupyter notebook, and up to 20 states