Ising spin glass models versus Ising models: an effective mapping at high temperature II. Applications to graphs and networks

TL;DR

This paper applies a recent mapping technique to derive the phase boundary of Ising spin glass models on various graphs, extending known results and offering new insights into their behavior at high temperatures.

Contribution

It introduces an exact method to determine phase boundaries of Ising spin glasses on static and random graphs, generalizing previous findings.

Findings

Exact upper phase boundary derived for multiple models

Generalization of known phase transition results

New phase boundary results for complex graph structures

Abstract

By applying a recently proposed mapping, we derive exactly the upper phase boundary of several Ising spin glass models defined over static graphs and random graphs, generalizing some known results and providing new ones.