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

Julia M. Yeomans and Michael E. Fisher

Physica A: Statistical Mechanics and its Applications, 1984, vol. 127, issue 1, 1-37

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 = 2πj3(2j ± 1)a with j = 2, 3, …, jmax where, at fixed T, jmax ≈ √2 ln(1 + √2)exp(3J2kBT) so that jmax → ∞ as T → 0.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:127:y:1984:i:1:p:1-37

DOI: 10.1016/0378-4371(84)90118-3

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