Abstract

Theory of hopping conductivity on spherical metal grains below the percolation threshold in a dielectric matrix has been developed. Screening of the potential beyond the percolation radius of grains reduces the energy of creating the electron–hole pairs to zero at the percolation threshold. The electric conductivity has been calculated as a function of the metal volume fraction and temperature. A few factors including partial localization of electrons and multiple ionization of grains have been found responsible for the temperature dependence usually referred to as variable range hopping.

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