40 citations · 55 across the 2 of their papers we have counts for
5 papers
Partial long-range order in antiferromagnetic Potts models
M. P. Qin, Q. N. Chen, Z. Y. Xie +5
The Potts model plays an essential role in classical statistical mechanics, illustrating many fundamental phenomena. One example is the existence of partially long-range-ordered st…
Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice
S. Wang, Z. Y. Xie, J. Chen +2
We investigate the 2- and 3-state ferromagnetic Potts models on the simple cubic lattice using the tensor renormalization group method with higher-order singular value decompositio…
Partial order in Potts models on the generalized decorated square lattice
M. P. Qin, J. Chen, Q. N. Chen +5
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 au…
Coarse-graining renormalization by higher-order singular value decomposition
Z. Y. Xie, J. Chen, M. P. Qin +3
We propose a novel coarse graining tensor renormalization group method based on the higher-order singular value decomposition. This method provides an accurate but low computationa…
Partial order and finite-temperature phase transitions in Potts models on irregular lattices
Q. N. Chen, M. P. Qin, J. Chen +4
We evaluate the thermodynamic properties of the 4-state antiferromagnetic Potts model on the Union- Jack lattice using tensor-based numerical methods. We present strong evidence fo…