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arXiv · 2301.08926

Sublattice extraordinary-log phase and new special point of the antiferromagnetic Potts model

Li-Ru Zhang·Chengxiang Ding·Wanzhou Zhang·Long Zhang
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Abstract

We study the surface criticality of a three-dimensional classical antiferromagnetic Potts model, whose bulk critical behaviors belongs to the XY model because of emergent O(2) symmetry. We find that the surface antiferromagnetic next-nearest neighboring interactions can drive the extraordinary-log phase to the ordinary phase, the transition between the two phases belongs to the universality class of the well-known special transition of the XY model. Further strengthening the surface next-nearest neighboring interactions, the extraordinary-log phase reappears, but the main critical behaviors are dominated on the sublattices of the model; the special point between the ordinary phase and the sublattice extraordinary-log phase belongs to a new universality class.

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Li-Ru Zhang, Chengxiang Ding, Wanzhou Zhang, Long Zhang. 2023-01-21. Sublattice extraordinary-log phase and new special point of the antiferromagnetic Potts model. https://doi.org/10.1103/physrevb.108.024402

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