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

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

2002-10-21

arxiv.org/abs/cond-mat/0210451v3

Phys. Rev. B 67, 134410 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 14 figures, 3 tables

Scientific paper

10.1103/PhysRevB.67.134410

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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