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Abstract
We present results from Monte Carlo simulations of the one-dimensional Ising
spin glass with power-law interactions at low temperature, using the
parallel tempering Monte Carlo method. For a set of parameters where the
long-range part of the interaction is relevant, we find evidence for
large-scale droplet-like excitations with an energy that is independent of
system size, consistent with replica symmetry breaking. We also perform
zero-temperature defect energy calculations for a range of parameters and find
a stiffness exponent for domain walls in reasonable, but by no means perfect
agreement with analytic
predictions
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