Probing the Almeida-Thouless line away from the mean-field model Academic Article uri icon


  • Results of Monte Carlo simulations of the one-dimensional long-range Ising spin glass with power-law interactions in the presence of a (random) field are presented. By tuning the exponent of the power-law interactions, we are able to scan the full range of possible behaviors from the infinite-range (Sherrington-Kirkpatrick) model to the short-range model. A finite-size scaling analysis of the correlation length indicates that the Almeida-Thouless line does not occur in the region with non-mean-field critical behavior in zero field. However, there is evidence that an Almeida-Thouless line does occur in the mean-field region. © 2005 The American Physical Society.

author list (cited authors)

  • Katzgraber, H. G., & Young, A. P.

citation count

  • 74

publication date

  • November 2005