On temperature chaos in Ising and XY Spin Glasses

TL;DR

This paper investigates temperature chaos in 3D Ising and XY spin glasses, showing that continuous spins exhibit stronger chaos and smaller chaotic length scales, which may explain experimental rejuvenation effects.

Contribution

It demonstrates that chaotic length scales are smaller for XY spins compared to Ising spins using Migdal-Kadanoff Renormalization Group analysis.

Findings

Chaotic length scale is smaller for XY spins.

Temperature chaos is stronger in continuous spin models.

Results align with experimental observations of rejuvenation.

Abstract

We argue that the chaotic temperature effect predicted in Ising spin glasses should be stronger when one considers continuous (XY, Heisenberg) kind of spins, due to bigger entropic fluctuations. We then discuss the behavior of 3d spin glasses using the Migdal-Kadanoff Renormalization Group for Ising and XY spins, where we show explicitly that the chaotic length scale, the length beyond which equilibrium configurations are completly reshuffled when one changes temperature, could be far smaller for XY than for Ising spins. These results could thus explain why experiments are seeing a stronger rejuvenation effect for continuous spins.