The critical exponents of the two-dimensional Ising spin glass revisited: Exact Ground State Calculations and Monte Carlo Simulations

Abstract

The critical exponents for $T\to 0$ of the two-dimensional Ising spin glass model with Gaussian couplings are determined with the help of exact ground states for system sizes up to $L=50$ and by a Monte Carlo study of a pseudo-ferromagnetic order parameter. We obtain: for the stiffness exponent $y(=\theta )=-0.281\pm 0.002$, for the magnetic exponent $\delta =1.48\pm 0.01$ and for the chaos exponent $\zeta =1.05\pm 0.05$. From Monte Carlo simulations we get the thermal exponent $\nu =3.6\pm 0.2$. The scaling prediction $y=-1/\nu$ is fulfilled within the error bars, whereas there is a disagreement with the relation $y=1-\delta$.

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References in corpus (1)

• Off-Equilibrium Dynamics in Finite-Dimensional Spin Glass Models

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