Study of the de Almeida–Thouless Line Using Power-Law Diluted One-Dimensional Ising Spin Glasses Academic Article uri icon


  • We test for the existence of a spin-glass phase transition, the de Almeida-Thouless line, in an externally applied (random) magnetic field by performing Monte Carlo simulations on a power-law diluted one-dimensional Ising spin glass for very large system sizes. We find that a de Almeida-Thouless line occurs only in the mean-field regime, which corresponds, for a short-range spin glass, to dimension d larger than 6.

author list (cited authors)

  • Katzgraber, H. G., Larson, D., & Young, A. P.

citation count

  • 80

publication date

  • April 2009