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Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions

Research paper by H. G. Katzgraber, A. P. Young

Indexed on: 10 Apr '03Published on: 10 Apr '03Published in: Physics - Disordered Systems and Neural Networks



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.