Abstract
A correlated two-component percolation model is constructed to treat random bonds between next-nearest neighbours. Monte Carlo simulations on a 2D square lattice are performed. By employing real-space renormalization techniques, it is proved that the criticality is controlled by a single fixed point and the percolation exponents are unaffected by correlations. The discovered power law dependence with exponent 1/v of the percolation threshold pc on the concentration of the second phase is discussed.
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