Abstract

The authors consider the scattering of conduction electrons in a semiconductor by static short-range potentials, e.g., the short-range potential of an impurity or the disorder potential in an alloy. The response of free electrons consists of producing a long-range potential, due to off-diagonal elements of the dielectric matrix. The electron matrix elements of these short- and long-range potentials partially cancel. The matrix element of the total potential is equal to the matrix element of the short-range potential divided by the free-electron dielectric function. Thus, the scattering by short-range potentials is affected ('screened') by free electrons in the same way as the scattering by long-range potentials (e.g., by Coulomb potential). Both single-valley and multi-valley cases are considered.

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