Analysis of the multiphase region in the three-state chiral clock model

Abstract

The phase diagram of the axial three-state chiral (or asymmetric) clock model on a d- dimensional lattice is analyzed near its multiphase point for d > 2 by using systematic low- temperature expansions carried to all orders where necessary. A matrix method simplifies the configurational analysis. Two infinitely long sequences of commensurate phases appear, each terminating in a triple point at T > 0 and having (mean) wavevectors q = 2πj 3(2j ± 1)a with j = 2, 3, …, j max where, at fixed T, j max ≈ √2 ln(1 + √2)exp( 3J 2k BT) so that j max → ∞ as T → 0.