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Monte Carlo Simulation of the Three-dimensional Ising Spin Glass

Matteo Palassini·Sergio Caracciolo
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Abstract

We study the 3D Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Using an iterative extrapolation procedure, Monte Carlo data are extrapolated to infinite volume up to correlation length ξ= 140. The infinite volume data are consistent with both a continuous phase transition at finite temperature and an essential singularity at finite temperature. An essential singularity at zero temperature is excluded.

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Matteo Palassini, Sergio Caracciolo. 1999-11-27. Monte Carlo Simulation of the Three-dimensional Ising Spin Glass. https://arxiv.org/abs/cond-mat/9911449

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