A. Solomatin et V. Sahni, ANALYTICAL ASYMPTOTIC STRUCTURE OF THE EXCHANGE AND CORRELATION POTENTIALS AT A METAL-SURFACE, Physics letters. A, 212(5), 1996, pp. 263-269
We derive the exact analytical asymptotic structure of the Kohn-Sham t
heory exchange potential and thereby of the correlation potential at a
semi-infinite jellium metal surface. The exchange potential is image-
like (-A/x), where A depends on the Fermi energy and surface barrier h
eight, and is precisely 1/4 for stable jellium.