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Mean-field renormalization group for the q-state clock spin-glass model

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  • Chen, Shyh-Tzer

Abstract

The mean-field renormalization group is used to study the phase diagrams of a d-dimensional q-state clock spin-glass model. We found, for q = 3 clock, the transition from paramagnet to spin glass is an isotropic spin-glass phase, but for q = 4 clock, the transition from paramagnet to spin glass is an anisotropic spin-glass phase. However, for q ⩾ 5 clock, the result of anisotropic spin-glass phase depends on the temperature and the distribution of random coupling. While the coordinate number approaches infinity, the critical temperature evaluated by the mean-field renormalization group method is equal to that by the replica method.

Suggested Citation

  • Chen, Shyh-Tzer, 1996. "Mean-field renormalization group for the q-state clock spin-glass model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(2), pages 181-187.
    • Handle: RePEc:eee:phsmap:v:229:y:1996:i:2:p:181-187
    DOI: 10.1016/0378-4371(96)00015-5
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    References listed on IDEAS

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    1. De Alcantara Bonfim, O.F., 1985. "Mean field renormalization group analysis of the Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(1), pages 367-373.
    2. Kirkpatrick, Jeane, 1975. "Representation in the American National Conventions: the Case of 1972," British Journal of Political Science, Cambridge University Press, vol. 5(3), pages 265-322, July.
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