2009/08/31 by Derek Larson, Helmut G. Katzgraber, M. A. Moore +1 · 40 citations
Economics, Econometrics and Finance · Materials Science · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Condensed matter physics #Exponent #Field (mathematics) #Ising model #Material Dynamics and Properties #Mathematics #Monte Carlo method #Physics #Quantum mechanics #Renormalization group #Spin (aerodynamics) #Spin glass #Statistical physics #Statistics #Theoretical and Computational Physics #Thermodynamics #Universality (dynamical systems) #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.81.064415
published in Physical Review B 81(6) (American Physical Society) · 8 pages, 9 figures, 1 table
arxiv created 2010/02/17 · openalex publication_date 2010/02/17 · arxiv updated 2010/02/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.