The infinite-range two-real-Ising replicas spin glass

Fernando D. Nobre and Francisco A.da Costa

Physica A: Statistical Mechanics and its Applications, 1998, vol. 254, issue 3, 333-347

Abstract: A spin-glass model, with two Ising coupled systems (real replicas), is investigated in the limit of infinite-range interactions, through the replica method. Besides the Ising representation, the model is also considered as a discrete two-component four-state clock spin glass. The phase diagram of the model is obtained, within the replica-symmetry approximation, exhibiting a collinear spin-glass phase, i.e., no transverse four-state clock ordering. The order parameter conjugated to the coupling field presents a discontinuity along the spin-glass phase, when the field is reversed. The validity limits of the replica-symmetry solution are analysed.

Keywords: Spin glasses; Infinite-range interactions; Replicas (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:254:y:1998:i:3:p:333-347

DOI: 10.1016/S0378-4371(97)00684-5

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