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Abstract
The asymptotic interference term of the elastic energy between two similar defects in a free-electron gas is derived using the stationary-phase method. This contribution is due to the fact that the derivative of the static Hartree dielectric function, χ0(q), contains a singularity for a wavevector q = 2k F where k F is the Fermi wave vector. The interference term falls off as R −3 where R is the interdefect separation.
The asymptotic elastic energy (at q = 0) between two similar impurities in an isotropic medium is also presented. It falls off as R −5 with an angular dependence the same as that found by Siems (1968) and Hardy and Bullough (1967).