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

H. G. Katzgraber; A. P. Young

doi:10.1103/physrevb.67.134410

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

H. G. Katzgraber·A. P. Young

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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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H. G. Katzgraber, A. P. Young. 2003-04-10. Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions. https://doi.org/10.1103/physrevb.67.134410

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