Numerical study of the electrical conductivity of a model liquid metal in the effective medium approximation

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Abstract
The extension of the effective medium approximation made by the authors to treat the transport properties of structurally disordered systems is applied to study numerically the DC conductivity of a model liquid metal with a tight-binding single s band of Gaussian atomic orbitals. The non-orthogonality of orbitals is fully taken into account and shown to have appreciable effects. The vertex corrections, which have often been neglected in previous theories, turned out to play very important roles for determining the quantitative as well as qualitative behaviour of the conductivity for the cases of fairly high packing fractions corresponding to ordinary liquid metal densities.