The Anderson prescription for surfaces and impurities

Details The Anderson prescription for surfaces and impurities The Anderson prescription for surfaces and impurities

2000-03-06

arxiv.org/abs/cond-mat/0003090v2

Physics

Condensed Matter

Superconductivity

4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.62.5345

We test the Anderson prescription [1], a BCS formalism for describing superconductivity in inhomogeneous systems, and compare results with those obtained from the Bogoliubov-de Gennes formalism, using the attractive Hubbard model with surfaces and nonmagnetic impurities. The Anderson approach captures the essential features of the spatial variation of the gap parameter and electron density around a surface or an impurity over a wide range of parameters. It breaks down, however, in the strong-coupling regime for a weak impurity potential. [1] P. W. Anderson, J. Phys. Chem. Solids 11, 26 (1959).

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