An extension of estimation of critical points in ground state for random spin systems

TL;DR

This paper proposes an extension to existing methods for estimating critical points in ground states of finite-dimensional spin glasses, validated through comparison with numerical results.

Contribution

It introduces a novel extension of analytical approaches to phase transitions in finite-dimensional spin glasses, bridging a gap in current methodologies.

Findings

Estimated critical points closely match numerical results

Extension improves analytical predictions for finite-dimensional systems

Provides a new tool for studying phase transitions in spin glasses

Abstract

Most of the analytical studies on spin glasses are performed by using mean-field theory and renormalization group analysis. Analytical studies on finite-dimensional spin glasses are very challenging. In this short note, a possible exten- sion of the approaches on the phase transition in spin glasses is demonstrated. To validate our extension, we compared our estimates on the critical points with the existing numerical results.