Ising spin glass in a field zero temperature in the Bethe approximation

Mário J. de Oliveira

Physica A: Statistical Mechanics and its Applications, 1988, vol. 150, issue 3, 614-626

Abstract: The properties of the Ising spin glass with a ± J distribution of bonds are studied in the presence of an external field H and at zero temperature in the Bethe approximation. We show that for 0 ⩽ H < J the probability distribution function of the effective field has a piecewise continuous part in addition to delta functions. We find that the energy has singularities located at H/J = 1 + 2/n, n/(n + 2), 0 and 1 (n = 1, 2, 3, …), and that the rediual entropy is particularly high at these points.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:150:y:1988:i:3:p:614-626

DOI: 10.1016/0378-4371(88)90259-2

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