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arXiv · cond-mat/0105320

Critical behaviour of fully-frustrated Potts models

D P Foster·C Gerard·I Puha
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Abstract

A numerical transfer matrix calculation is presented for two fully-frustrated three-state Potts models on the square lattice: the Potts piled-up-domino model and the Potts zig-zag model. The ground state entropies and phase diagrams are found. The Potts piled-up-domino model displays a finite-temperature transition when the frustration effects are maximal, and displays reentrant behaviour, in contrast to the Ising model equivalent. The ground-state entropy per spin is larger than in the Ising equivalent. The Potts zig-zag model displays the same qualitative behaviour as its Ising counterpart, and the ground-state entropy per spin is the same in the Potts and Ising cases.

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D P Foster, C Gerard, I Puha. 2001-05-16. Critical behaviour of fully-frustrated Potts models. https://doi.org/10.1088/0305-4470%2F34%2F25%2F303

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