Abstract
We present results of Monte Carlo simulations, using parallel tempering,
on the three- and
four-dimensional Edwards-Anderson (EA)
Ising spin-glass with Gaussian couplings at
low temperatures with free boundary conditions. Our results suggest that
large-scale low-energy excitations may be space filling. The data implies that
the energy of these excitations increases with increasing system size for
small systems, but we see evidence in three dimensions, where we have a
greater range of sizes, for a crossover to a regime where the energy
is independent of system size, in accordance with replica
symmetry breaking.