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arXiv · 0712.0092

Antiferromagnetic spherical spin-glass model

D. B. Liarte·C. S. O. Yokoi
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Abstract

We study the thermodynamic properties and the phase diagrams of a multi-spin antiferromagnetic spherical spin-glass model using the replica method. It is a two-sublattice version of the ferromagnetic spherical p-spin glass model. We consider both the replica-symmetric and the one-step replica-symmetry-breaking solutions, the latter being the most general solution for this model. We find paramagnetic, spin-glass, antiferromagnetic and mixed or glassy antiferromagnetic phases. The phase transitions are always of second order in the thermodynamic sense, but the spin-glass order parameter may undergo a discontinuous change.

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D. B. Liarte, C. S. O. Yokoi. 2007-12-01. Antiferromagnetic spherical spin-glass model. https://doi.org/10.1088/1751-8113%2F41%2F32%2F324010

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