English

Tensor renormalization of three-dimensional Potts model

High Energy Physics - Lattice 2022-01-07 v1 Statistical Mechanics High Energy Physics - Theory

Abstract

We study the qq-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<q2010 < 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.

Keywords

Cite

@article{arxiv.2201.01789,
  title  = {Tensor renormalization of three-dimensional Potts model},
  author = {Raghav G. Jha},
  journal= {arXiv preprint arXiv:2201.01789},
  year   = {2022}
}

Comments

v1: Data table, 8 figures, 1+16 pages, 1 Jupyter notebook, and up to 20 states

R2 v1 2026-06-24T08:41:17.733Z