On temperature chaos in Ising and XY Spin Glasses

Details On temperature chaos in Ising and XY Spin Glasses On temperature chaos in Ising and XY Spin Glasses

2003-11-11

arxiv.org/abs/cond-mat/0311247v2

Europhys. Lett., 66 (6), pp. 847-853 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 6 figures, accepted for publication

Scientific paper

10.1209/epl/i2003-10261-5

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.

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