Abstract
The nonlinear Thomas-Fermi-Dirac equation is solved numerically for the positive and negative point charges in gallium arsenide and gallium phosphide. Results are obtained for screening radii, Coulomb hole radii, and spatial dielectric functions which are compared with those obtained by solving the nonlinear Thomas-Fermi equation. The inconsistency in the definition of the Coulomb hole radius, observed earlier, has been taken care of. The wave-vector-dependent dielectric function and the spatial dielectric function are also obtained for the linear case and its range of validity given.
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