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4D Spin Glasses in Magnetic Field Have a Mean Field like Phase

E. Marinari·G. Parisi·F. Zuliani
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Abstract

By using numerical simulations we show that the 4D $J=\pm 1$ Edwards Anderson spin glass in magnetic field undergoes a mean field like phase transition. We use a dynamical approach: we simulate large lattices (of volume $V$) and work out the behavior of the system in limit where both $t$ and $V$ go to infinity, but where the limit $V \to \infty$ is taken first. By showing that the dynamic overlap $q$ converges to a value smaller than the static one we exhibit replica symmetry breaking. The critical exponents are compatible with the ones obtained by mean field computations.

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E. Marinari, G. Parisi, F. Zuliani. 1997-03-30. 4D Spin Glasses in Magnetic Field Have a Mean Field like Phase. https://doi.org/10.1088/0305-4470%2F31%2F4%2F008

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