Bandtailing in a disordered Kronig-Penney model

In this paper we describe the motion of an electron in a disordered Kronig-Penney model, using a transfer matrix approach. The interatomic distances are assumed to be independent aleatory variables, for which we postulate successively a gaussian-, a cut-off parabolic, and a uniform distribution func...

Full description

Saved in:
Bibliographic Details
Published in:Physica 1965-01, Vol.31 (8), p.1337-1345
Main Authors: De Dycker, E., Phariseau, P.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we describe the motion of an electron in a disordered Kronig-Penney model, using a transfer matrix approach. The interatomic distances are assumed to be independent aleatory variables, for which we postulate successively a gaussian-, a cut-off parabolic, and a uniform distribution function. Calculating the band edges of the energy gaps numerically for these different frequency functions of the inter-atomic distances and for a few values of the other parameters, we obtain always a narrowing of the energy gap with respect to that of a Kronig-Penney “crystal” having as lattice constant the average of the interatomic distances considered in the distorted model. Finally, these numerical results are mutually compared and discussed.
ISSN:0031-8914
DOI:10.1016/0031-8914(65)90060-1