Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions Academic Article uri icon

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 dropletlike 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. © 2003 The American Physical Society.

author list (cited authors)

  • Katzgraber, H. G., & Young, A. P.

citation count

  • 80

publication date

  • April 2003