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arXiv · 1105.5030

Partial order and finite-temperature phase transitions in Potts models on irregular lattices

Q. N. Chen·M. P. Qin·J. Chen·Z. C. Wei·H. H. Zhao·B. Normand·T. Xiang
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Abstract

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 for a previously unknown, "entropy-driven," finite-temperature phase transition to a partially ordered state. From the thermodynamics of Potts models on the diced and centered diced lattices, we propose that finite-temperature transitions and partially ordered states are ubiquitous on irregular lattices.

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Q. N. Chen, M. P. Qin, J. Chen, Z. C. Wei, H. H. Zhao, B. Normand, T. Xiang. 2011-10-16. Partial order and finite-temperature phase transitions in Potts models on irregular lattices. https://doi.org/10.1103/physrevlett.107.165701

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