We study the quantum site percolation problem, which is defined by a substitutionally disordered tight-binding Hamiltonian, with a large-cell or macroscopic renormalization-group approach. Our estimate for the quantum percolation threshold pq is 0.45 for a simple-cubic lattice, which should be compared with the classical percolation threshold of pc=0.3117. To test the reliability of our method we have also calculated pc and have evaluated (W/J)c for the usual Anderson model. In both cases our results are in reasonable agreement with previous studies.
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Root et al. (1986) studied this question.
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