Partial order in Potts models on the generalized decorated square lattice
Abstract
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.
Keywords
Cite
@article{arxiv.1304.7146,
title = {Partial order in Potts models on the generalized decorated square lattice},
author = {M. P. Qin and J. Chen and Q. N. Chen and Z. Y. Xie and X. Kong and H. H. Zhao and B. Normand and T. Xiang},
journal= {arXiv preprint arXiv:1304.7146},
year = {2024}
}
Comments
5 pages, 6 figures