Replica Field Theory for Deterministic Models (II): A Non-Random Spin Glass with Glassy Behavior

TL;DR

This paper introduces a deterministic spin glass model with a complex energy landscape that exhibits glassy behavior similar to disordered models, expanding understanding of non-random systems with glassy phases.

Contribution

The authors develop a disordered model that replicates key features of a deterministic spin glass, including phase diagram and dynamical properties, without quenched disorder.

Findings

Presence of a low-temperature spin glass phase

Complex dynamical behavior similar to disordered models

Reproduction of the original phase diagram features

Abstract

We introduce and study a model which admits a complex landscape without containing quenched disorder. Continuing our previous investigation we introduce a disordered model which allows us to reconstruct all the main features of the original phase diagram, including a low $T$ spin glass phase and a complex dynamical behavior.