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Numerical studies of a one-dimensional three-spin spin-glass model with long-range interactions

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Title: Numerical studies of a one-dimensional three-spin spin-glass model with long-range interactions
Author: Larson, Derek; Katzgraber, Helmut G.; Moore, M. A.; Young, A. P.
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.
Description: Journals published by the American Physical Society can be found at http://journals.aps.org/
Publisher: American Physical Society
Subject: CRITICAL EXPONENTS
CRITICAL-BEHAVIOR
FIELD-THEORY
MONTE-CARLO
ISING-MODEL
PHASE
SIMULATIONS
CONNECTIONS
TRANSITION
POTTS
Physics
Department: Physics and Astronomy
URI: http://dx.doi.org/10.1103/PhysRevB.81.064415
Date: 2010

Citation

Derek Larson, Helmut G. Katzgraber, M. A. Moore and A. P. Young. Phys.Rev.B 81 064415 2010."Copyright (2010) by the American Physical Society."

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