We present results of a Monte Carlo simulation of an Heisenberg Spin Glass
model on a hipercubic cell of size 2 in {\it D} dimensions. Each spin interacts
with {\it D} nearest neighbors and the lattice is expected to recover the
completely connected (mean field) limit as Dββ. 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
T2 as in the mean field case. Estimates of Tcβ 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 {\it D}.Comment: 6 pages and 4 figures, also available at
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