Many commensurate phases in the chiral Potts or asymmetric clock models

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, , Citation J M Yeomans and M E Fisher 1981 J. Phys. C: Solid State Phys. 14 L835 DOI 10.1088/0022-3719/14/27/006

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This article is corrected by 1981 J. Phys. C: Solid State Phys. 14 L1111

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1 Baker Lab., Cornell Univ., Ithaca, NY, USA

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0022-3719/14/27/L835

Abstract

The phase diagram of the uniaxial three-state chiral Potts or asymmetric clock model at low temperatures is calculated for dimensions d>2, using systematic series expansions carried to indefinitely high order. The model exhibits two arbitrarily long sequences of distinct commensurate phases with (mean) wavevectors q= pi /3a and q=2 pi j/3(2j+or-1)a for j=1,2,3,...,jmax with jmax approximately= square root 2 ln(1+ square root 2) exp(3J/2kBT) to infinity as T to 0.

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