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arXiv · 1304.7146

Partial order in Potts models on the generalized decorated square lattice

M. P. Qin·J. Chen·Q. N. Chen·Z. Y. Xie·X. Kong·H. H. Zhao·B. Normand·T. Xiang
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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.

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M. P. Qin, J. Chen, Q. N. Chen, Z. Y. Xie, X. Kong, H. H. Zhao, B. Normand, T. Xiang. 2013-04-26. Partial order in Potts models on the generalized decorated square lattice. https://doi.org/10.1088/0256-307x%2F30%2F7%2F076402

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