Abstract
The simple model of a classical spin-glass proposed by van Hemmen [1] is extended to the case of a generalS Ising spin and anisotropy energy. Due to its simplicity, the model is amenable to an exact solution and in the case of spin-1 the phase diagram is similar to that of the Sherrington-Kirkpatrick model. ForS=1 and for certain values of the anisotropy the phase diagram in the (H-T) plane shows continuous and discontinuous transitions, a critical point within the condensed phase, and a field-induced mixed phase in addition to the paramagnetic and spin-glass phases.
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de Almeida, J.R.L., Brady Moreira, F.G. Magnetic field effects on a classical anisotropic spin-glass model. Z. Physik B - Condensed Matter 63, 365–367 (1986). https://doi.org/10.1007/BF01303816
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DOI: https://doi.org/10.1007/BF01303816