Ising spin glass in the Bethe approximation at zero temperature

M.J. de Oliveira

Physica A: Statistical Mechanics and its Applications, 1988, vol. 148, issue 3, 567-574

Abstract: We study the properties of the Ising spin glass in the Bethe approximation at zero temperature for the case of a ±J distribution of bonds. We show that there is an infinite number of solutions for the probability distribution function of the effective field. Each one is a sum of 2N+1 delta functions located at Jn/N, n=0,±1, ±2,…,±N. In the limit N→∞ we obtain a solution with a continous part in addition to delta functions located at 0 and ±J. For each case we calculate the spin glass order parameter, the energy and entropy.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:148:y:1988:i:3:p:567-574

DOI: 10.1016/0378-4371(88)90087-8

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