Antiferromagnetic spherical spin-glass model
Disordered Systems and Neural Networks
2012-05-22 v1 Statistical Mechanics
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.
Cite
@article{arxiv.0712.0092,
title = {Antiferromagnetic spherical spin-glass model},
author = {D. B. Liarte and C. S. O. Yokoi},
journal= {arXiv preprint arXiv:0712.0092},
year = {2012}
}
Comments
12 pages, 6 figures