– 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… (More)
Fig. 3 – Left: Distance (see eq. (5)) between equilibrium configurations at temperature T1 = 0.1 and T2 = 0.2 for different q. Symbols for q = 16, 32, 64 are hidden by those for q = 128, showing the convergence to the high q limit. In inset the same with T1 = 0.05 and T2 = 0.06. Right: Chaotic length ℓc for the XY model and Ising models. Note that ℓc can be about 10 times smaller for XY than for Ising. This plot was made using δT = 0.01 (δT = 0.1 in the inset).