Abstract
The three-state chiral Potts model on a Cayley tree is analysed in the limit of infinitely large coordination number. The fractal dimensionalities of the wavenumber against chiral field curves are computed. It is shown that they change from a complete to an incomplete devil's staircase as the temperature is raised. Commensurate phase boundaries are determined analytically for high and low temperatures, and the discommensurations are shown to result from tangent bifurcations.
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