Temperature chaos in the local magnetization of spin glasses

Abstract Several simulations of the Ising spin-glass model on diamond hierarchical lattices with fractal dimensions d F =2,2.58 and 3 were performed. By means of an exact recursion procedure the temperature dependent local magnetization is calculated and the distribution of overlaps between configurations with slightly different temperatures is investigated. Both Gaussian and delta-bimodal distributions for the coupling constants were considered. At very low temperatures, evidences of chaotic behavior induced by temperature is found for all cases except for d F =2 lattice with delta-bimodal distribution.