Notes on the replica symmetric solution of the classical and quantum SK model, including the matrix of second derivatives and the spin glass susceptibility

TL;DR

This paper reviews the replica symmetric solution of the classical and quantum Sherrington-Kirkpatrick spin glass models, focusing on the matrix of second derivatives and the spin glass susceptibility.

Contribution

It provides a comprehensive review of the replica symmetric approach, including detailed analysis of the second derivative matrix and susceptibility in both classical and quantum cases.

Findings

Analysis of the stability of the replica symmetric solution

Insights into the behavior of spin glass susceptibility

Comparison between classical and quantum models

Abstract

A review of the replica symmetric solution of the classical and quantum, infinite-range, Sherrington-Kirkpatrick spin glass is presented.