Thouless-Anderson-Palmer equations for the Ghatak-Sherrington mean field spin glass model

TL;DR

This paper derives the TAP equations for the Ghatak-Sherrington spin glass model using the cavity method, valid at high temperatures and all crystal field values, confirming previous predictions.

Contribution

It provides a rigorous derivation of the TAP equations for this model, extending their validity across temperature and crystal field ranges.

Findings

TAP equations derived for the Ghatak-Sherrington model

Derivation confirms Yokota's predictions

Method applicable at high temperature and all crystal fields

Abstract

We derive the Thouless-Anderson-Palmer (TAP) equations for the Ghatak and Sherrington model. Our derivation, based on the cavity method, holds at high temperature and at all values of the crystal field. It confirms the prediction of Yokota.