Sc. Vandermarck, CALCULATION OF PERCOLATION THRESHOLDS IN HIGH DIMENSIONS FOR FCC, BCCAND DIAMOND LATTICES, International journal of modern physics C, 9(4), 1998, pp. 529-540
Site and bond percolation thresholds are calculated for the face cente
red cubic, body centered cubic and diamond lattices in four, five and
six dimensions. The results are used to study the behavior of percolat
ion thresholds as a functions of dimension. It is shown that the predi
ctions from a recently proposed invariant for percolation thresholds a
re not satisfactory for these lattices.