CRITICAL EXPONENTS FOR SITE-BOND-CORRELATED PERCOLATION

We examine a limiting case of the percolation model with site-bond correlation used in the description of the magnetic behavior of KNipMg1-pF3. In this limit, a vacant site destroys the bond between a nearest-neighbor pair along the line joining the three sites. Monte Carlo simulations for both the square and triangular lattices are used to calculate the concentration thresholds and the critical exponent tau describing the scaling of cluster numbers; the latter is related to the order-parameter exponent beta. We find that the critical exponents are the same as those for uncorrelated percolation.