Recursive Green-Function Study of Wannier-Stark Effect in Tight-Binding Systems

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 Wannier-Stark effect in electrified tight-binding systems is investigated, via the recursive Green-function technique, which involves repeated use of the Dyson equation. Green functions for finite, semi-infinite and infinite systems are generated in the site representation in the form of continued fractions, which are then expressed analytically as ratios of Bessel functions. The local densities of states at the surface and in the bulk are presented and their dependency on the applied field discussed.

last updated Sat Oct 20 00:45 EDT 2001 by RAE