Wannier-Stark Effect on Surface States

S. G. Davison, R. A. English, Z. L. Miskovic, F. O. Goodman

Department of Applied Mathematics, University of Waterloo
Waterloo, Ontario, Canada, N2L 3G1

A. T. Amos,

Department of Computer Science and Applied Mathematics, Aston University
Birmingham, United Kingdom, B4 7ET

and B. L. Burrows

Mathematics Group, School of Computing, Staffordshire University
Beaconside, Stafford, United Kingdom, ST18 0DG

Abstract:

The causal-surface Green-function (CSGF) technique is used to study the surface states of an electrified solid. The recursive nature of the method leads to a continued-fraction form of the CSGF, which can be expressed as a ratio of Bessel functions. The surface density of states (SDOS), derived from the CSGF, reveals a quasi-Stark-ladder distribution of the energy levels at the surface atom. The dependence of the SDOS on the applied field and surface perturbation parameters is discussed.

last updated Sat Oct 20 00:46 EDT 2001 by RAE