Atomic displacements around an impurity and three-body interactions in metals

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Abstract
Two methods for calculating the asymptotic displacement of the ions around substitutional, homovalent impurities in a metal are compared. While the order of approximation in the method of homogeneous deformations coincides with the order of electronic response involved, this is not so in the direct calculation of local force and displacement fields. Consistency of the approximation requires that even the lowest-order structure-dependent calculation of the asymptotic and preasymptotic local displacements should include the nonlinear, third-order electronic response of the electron liquid.

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