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Numerical study of the TAP equations for infinite-range spin glass models

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  • Yokota, Terufumi

Abstract

The nature of spin glass phase for infinite-range model is investigated by an approach without relying on the replica method. Mean field equations are solved numerically and order parameters such as q(x) are obtained. First, to study a kind of quantum effects, the SK model in a transverse field is investigated within the pair approximation. The nature of the spin glass phase is shown to be unchanged by the presence of a transverse field. Secondly, a generalized SK model with a crystal field is studied to clarify the nature of the first order transition. The first order spin glass transition is described consistently. The distribution of pi = 〈S2i〉 is doubly peaked in the spin glass phase on the first order transition line.

Suggested Citation

  • Yokota, Terufumi, 1992. "Numerical study of the TAP equations for infinite-range spin glass models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 336-339.
    • Handle: RePEc:eee:phsmap:v:185:y:1992:i:1:p:336-339
    DOI: 10.1016/0378-4371(92)90473-4
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    1. 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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