Antiferromagnetic spherical spin-glass model

TL;DR

This paper analyzes the phase behavior of a multi-spin antiferromagnetic spherical spin-glass model using the replica method, revealing various phases and transition types.

Contribution

It introduces a two-sublattice antiferromagnetic spherical spin-glass model and explores its phase diagram with replica-symmetry-breaking solutions.

Findings

Identification of paramagnetic, spin-glass, antiferromagnetic, and mixed phases.

Second-order phase transitions with possible discontinuous spin-glass order parameter.

Application of replica method to a novel two-sublattice model.

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.