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Electron scattering states at solid surfaces calculated with realistic potentials

S. Lorenz·C. Solterbeck·W. Schattke·J. Burmeister·W. Hackbusch
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Abstract

Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies especially to the case of low lying conduction bands. The wave function is described with a reciprocal lattice representation parallel to the surface and a discretization of the real space perpendicular to the surface. The Schroedinger equation leads to a system of linear one-dimensional equations. The asymptotic boundary value problem is confined via the quantum transmitting boundary method to a finite interval. The solutions are obtained basing on a multigrid technique which yields a fast and reliable algorithm. The influence of the boundary conditions, the accuracy and the rate of convergence with several solvers are discussed. The resulting charge densities are investigated.

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S. Lorenz, C. Solterbeck, W. Schattke, J. Burmeister, W. Hackbusch. 1997-08-28. Electron scattering states at solid surfaces calculated with realistic potentials. https://doi.org/10.1103/physrevb.55.r13432

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