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Random Ising model in the magnetic field at T = 0

Shigetoshi Katsura and Nahomi Miyamoto

Physica A: Statistical Mechanics and its Applications, 1982, vol. 112, issue 3, 393-404

Abstract: The integral equation for the distribution function of the effective fields in the random Ising model in the finite external field is solved exactly at zero temperature in the one-dimensional case for 1) dilute ferromagnet, 2) dilute antiferromagnet and 3) ±J model. The ground state characteristics of these systems are obtained. In particular the effective fields in the ±J model are shown to have a triangular distribution in the zero external field limit.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:112:y:1982:i:3:p:393-404

DOI: 10.1016/0378-4371(82)90186-8

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