Numerical studies of a one-dimensional three-spin spin-glass model with long-range interactions Academic Article uri icon

abstract

  • We study a p -spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p -spin models, and used to model the behavior of structural glasses, persists in the nonmean-field regime. By using a three-spin spin-glass model with long-range power-law diluted interactions we are able to continuously tune the (effective) space dimension via the exponent of the interactions. Monte Carlo simulations of the spin-glass susceptibility and the two-point finite-size correlation length show that deep in the nonmean-field regime, the finite-temperature transition is lost whereas this is not the case in the mean-field regime, in agreement with the prediction of Moore and Drossel [Phys. Rev. Lett. 89, 217202 (2002)] that three-spin models are in the same universality class as an Ising spin glass in a magnetic field. However, slightly in the nonmean-field region, we find an apparent transition in the three-spin model, in contrast to results for the Ising spin glass in a field. This may indicate that even larger sizes are needed to probe the asymptotic behavior in this region. © 2010 The American Physical Society.

author list (cited authors)

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

citation count

  • 30

publication date

  • February 2010