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

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. Fro...

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Bibliographic Details
Published inPhysical review letters Vol. 107; no. 16; p. 165701
Main Authors Chen, Q N, Qin, M P, Chen, J, Wei, Z C, Zhao, H H, Normand, B, Xiang, T
Format Journal Article
LanguageEnglish
Published United States 12.10.2011
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Summary: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.
ISSN:1079-7114
DOI:10.1103/physrevlett.107.165701