Quantum percolation in granular metals
Abstract
Theory of quantum corrections to conductivity of granular metal films is developed for the realistic case of large randomly distributed tunnel conductances. Quantum fluctuations of intergrain voltages (at energies E much below bare charging energy scale EC) suppress the mean conductance g(E) much stronger than its standard deviation σ(E). At sufficiently low energies E* any distribution becomes broad, with σ(E*) ~ g(E*), leading to strong local fluctuations of the tunneling density of states. Percolative nature of metal-insulator transition is established by combination of analytic and numerical analysis of the matrix renormalization group equations.
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