Critical behaviour of fully-frustrated Potts models

Details Critical behaviour of fully-frustrated Potts models Critical behaviour of fully-frustrated Potts models

2001-05-16

arxiv.org/abs/cond-mat/0105320v1

Physics

Condensed Matter

24 pages, 10 figures. To appear in Journal of Physics A

Scientific paper

10.1088/0305-4470/34/25/303

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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