Competition between glassiness and order in a multi-spin glass

TL;DR

This paper investigates a mean-field multi-spin glass model with ferromagnetic coupling, revealing complex phase behavior including reentrant transitions and a glassy ferromagnet with unique dynamical properties, aligning with nonequilibrium glass thermodynamics.

Contribution

It introduces a detailed phase diagram for a multi-spin glass model with ferromagnetic interactions, highlighting novel phases and dynamical phenomena.

Findings

Four distinct phases identified: paramagnet, spin glass, ferromagnet, glassy ferromagnet.

Reentrant phase transitions observed in the phase diagram.

Glassy ferromagnet exhibits anomalous dynamical behavior.

Abstract

A mean-field multi-spin interaction spin glass model is analyzed in the presence of a ferromagnetic coupling. The static and dynamical phase diagrams contain four phases (paramagnet, spin glass, ordinary ferromagnet and glassy ferromagnet) and exhibit reentrant behavior. The glassy ferromagnet phase has anomalous dynamical properties. The results are consistent with a nonequilibrium thermodynamics that has been proposed for glasses.