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It is shown that within continuum theory and linear elasticity the interaction of point defects in two-and three-dimensional lattices with isotropic long-range interaction is ideally screened; i.e., the elastic relaxation of the background lattice exactly compensates the long-range interaction between the defects. A small residual short-range interaction results from the discreteness of the lattice and from the nonlinear elastic displacements. The self-energy of a point defect is also stronglydoi:10.1103/physrevb.56.9071 fatcat:l27hofmwcjhbhh423qiu2jnuzq