Full versus first stage replica symmetry breaking in spin glasses

TL;DR

This paper surveys the characteristics of spin-glass-like states in complex systems, analyzing how interaction structure and symmetry influence the nature of replica symmetry breaking transitions.

Contribution

It provides a comparative analysis of full versus first stage replica symmetry breaking in spin glasses, emphasizing the role of interaction operators and symmetry.

Findings

Transition type depends on interaction operators and symmetry.

Reflection symmetry presence influences the nonergodic transition.

Classification scenarios vary with interaction structure.

Abstract

A short survey is presented on spin--glass--like states characteristics in complex nonmagnetic systems. We discuss the interplay of the interaction structure and symmetry with the classification scenarios of the replica symmetry breaking. It is shown that the kind of the transition to the nonergodic state depends not only on the presence or absence of the reflection symmetry but on the number of interacting operators and their individual characteristics.