Phase Transition in the Three-Dimensional $\pm J$ Ising Spin Glass

Details Phase Transition in the Three-Dimensional $\pm J$ Ising Spin Glass Phase Transition in the Three-Dimensional $\pm J$ Ising Spin Glass

1995-10-02

arxiv.org/abs/cond-mat/9510009v1

Phys. Rev. B53 R484 (1996)

Physics

Condensed Matter

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Scientific paper

10.1103/PhysRevB.53.R484

We have studied the three-dimensional Ising spin glass with a $\pm J$ distribution by Monte Carlo simulations. Using larger sizes and much better statistics than in earlier work, a finite size scaling analysis shows quite strong evidence for a finite transition temperature, $T_c$, with ordering below $T_c$. Our estimate of the transition temperature is rather lower than in earlier work, and the value of the correlation length exponent, $\nu$, is somewhat higher. Because there may be (unknown) corrections to finite size scaling, we do not completely rule out the possibility that $T_c = 0$ or that $T_c$ is finite but with no order below $T_c$. However, from our data, these possibilities seem less likely.

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