2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97367We 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.10 pages, 14 figures, 3 tablesDisordered Systems and Neural NetworksMonte Carlo studies of the one-dimensional Ising spin glass with power-law interactionstext