Monte Carlo simulations of spin glasses at low temperatures - art. no. 184422

We report the results of Monte Carlo simulations on several spin-glass mode ls at low temperatures. By using the parallel tempering (exchange Monte Car lo) technique we are able to equilibrate down to low temperatures, for mode rate sizes, and hence the data should not be affected by critical fluctuati ons. Our results for short-range models are consistent with a picture propo sed earlier that there are large-scale excitations which cost only a finite energy in the thermodynamic limit, and these excitations have a surface wh ose fractal dimension is less than the space dimension. For the infinite ra nge Viana-Bray model, our results obtained for a similar number of spins, a re consistent with standard replica symmetry breaking.