Partial Order in Potts Models on the Generalized Decorated Square Lattice

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2013,（7）
• 页码范围: 156-160
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0256-307X/30/7/076402

摘要

We explore the Potts model on the generalized decorated square lattice,with both nearest (J1) and next-nearest (J2) neighbor 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,whereas the magnetic susceptibility diverges as the temperature goes to zero,showing that the model is critical at T =0.