Existence of a phase transition under finite magnetic field in the long-range RKKY Ising spin glass Dy$_{x}$Y$_{1-x}$Ru$_{2}$Si$_{2}$

TL;DR

This study confirms a mean-field-like spin glass phase transition in a long-range RKKY Ising system under finite magnetic fields, indicating stable spin glass order and replica symmetry breaking.

Contribution

It demonstrates the existence of a spin glass phase transition under finite magnetic fields in a long-range RKKY Ising system, supporting replica symmetry breaking.

Findings

Spin glass transition belongs to the mean-field universality class.

The relaxation time diverges critically in finite magnetic fields.

The spin glass phase remains stable under finite magnetic fields.

Abstract

A phase transition of a model compound of the long-range Ising spin glass (SG) Dy$_{x}$Y$_{1-x}$Ru$_{2}$Si$_{2}$, where spins interact via the RKKY interaction, has been investigated. The static and the dynamic scaling analyses reveal that the SG phase transition in the model magnet belongs to the mean-field universality class. Moreover, the characteristic relaxation time in finite magnetic fields exhibits a critical divergent behavior as well as in zero field, indicating a stability of the SG phase in finite fields. The presence of the SG phase transition in field in the model magnet strongly syggests that the replica symmetry is broken in the long-range Ising SG.