Abstract
We present results of a Monte Carlo simulation of a Heisenberg spin glass model on a hypercubic cell of size 2 in D dimensions. Each spin interacts with D nearest-neighbors and the lattice is expected to recover the completely connected (mean field) limit as D→∞. An analysis of the Binder parameter for D=8,9 and 10 shows clear evidence of the presence of a spin glass phase at low temperatures. We found that in the high temperature regime the inverse spin glass susceptibility grows linearly with T 2 as in the mean field case. Estimates of T c from the high temperature data are in very good agreement with the results of a Bethe–Peierls approximation for an Heisenberg spin glass with coordination number D.
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