Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2009-08-16
Phys. Rev. B 81, 064415 (2010)
Physics
Condensed Matter
Disordered Systems and Neural Networks
8 pages, 9 figures, 1 table
Scientific paper
10.1103/PhysRevB.81.064415
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 non-mean-field regime. By using a 3-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 non-mean-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 3-spin models are in the same universality class as an Ising spin glass in a magnetic field. However, slightly in the non-mean-field region, we find an apparent transition in the 3-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.
Katzgraber Helmut G.
Larson Derek
Moore Anna M.
Young Patrick A.
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