Evidence for a Genuine Ferromagnetic to Paramagnetic Reentrant Phase Transition in a Potts Spin Glass Model

TL;DR

This paper provides the first strong theoretical evidence of a genuine ferromagnetic to paramagnetic reentrant phase transition in Potts spin glasses on hierarchical lattices, challenging previous assumptions about such transitions in disordered systems.

Contribution

It demonstrates, through Migdal-Kadanoff renormalization-group calculations, that reentrant phase transitions can occur in non mean-field spin glass models, suggesting they may exist in real materials.

Findings

First evidence of reentrant transition in Potts spin glasses

Reentrance occurs in hierarchical lattice models

Implications for real disordered magnetic materials

Abstract

uch experimental and theoretical efforts have been devoted in the past twenty years to search for a genuine thermodynamic reentrant phase transition from a ferromagnetic to either a paramagnetic or spin glass phase in disordered ferromagnets. So far, no real system or theoretical model of a short-range spin glass system has been shown to convincingly display such a reentrant transition. We present here results from Migdal-Kadanoff real-space renormalization-group calculations that provide for the first time strong evidence for ferromagnetic to paramagnetic reentrance in Potts spin glasses on hierarchical lattices. Our results imply that there is no fundamental reason ruling out thermodynamic reentrant phase transitions in all non mean-field randomly frustrated systems, and may open the possibility that true reentrance might occur in some yet to be discovered real randomly frustrated materials.