Finite-temperature phase transition in a class of four-state Potts antiferromagnets |
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| Authors: | Deng Youjin Huang Yuan Jacobsen Jesper Lykke Salas Jesús Sokal Alan D |
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| Institution: | Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. yjdeng@ustc.edu.cn |
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| Abstract: | We argue that the four-state Potts antiferromagnet has a finite-temperature phase transition on any Eulerian plane triangulation in which one sublattice consists of vertices of degree 4. We furthermore predict the universality class of this transition. We then present transfer-matrix and Monte?Carlo data confirming these predictions for the cases of the Union Jack and bisected hexagonal lattices. |
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