A p-spin interaction Ashkin–Teller spin-glass model

I.S. Queiroz , F.A. da Costa and F.D. Nobre

Physica A: Statistical Mechanics and its Applications, 2002, vol. 309, issue 1, 106-120

Abstract: A p-spin interaction Ashkin–Teller spin glass, with three independent Gaussian probability distributions for the exchange interactions, is studied by means of the replica method. A simple phase diagram is obtained within the replica-symmetric approximation, presenting an instability of the paramagnetic solution at low temperatures. The replica-symmetry-breaking procedure is implemented and a rich phase diagram is obtained; besides the paramagnetic phase, three distinct spin-glass phases appear. Three first-order critical frontiers are found and they all meet at a triple point; among such lines, two of them present discontinuities in the order parameters, but no latent heat, whereas the other one exhibits both discontinuities in the order parameters and a finite latent heat.

Keywords: Spin glasses; Ashkin–Teller model; First-order phase transitions (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:309:y:2002:i:1:p:106-120

DOI: 10.1016/S0378-4371(02)00581-2

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