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

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  • Yeomans, Julia M.
  • Fisher, Michael E.

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.

Suggested Citation

  • Yeomans, Julia M. & Fisher, Michael E., 1984. "Analysis of the multiphase region in the three-state chiral clock model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 127(1), pages 1-37.
    • Handle: RePEc:eee:phsmap:v:127:y:1984:i:1:p:1-37
    DOI: 10.1016/0378-4371(84)90118-3
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    1. Selke, William L., 1980. "The impact of higher education on crime orientations," Journal of Criminal Justice, Elsevier, vol. 8(3), pages 175-184.
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    Cited by:

    1. Barreto, Maria & Yeomans, Julia, 1985. "The axial Ising model with third neighbour interactions: Low temperature expansion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(1), pages 84-122.

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