EFFECTIVE BAND HAMILTONIAN IN SEMICONDUCTOR QUANTUM-WELLS

Authors
ELCI A
Citation
A. Elci, EFFECTIVE BAND HAMILTONIAN IN SEMICONDUCTOR QUANTUM-WELLS, Physical review. B, Condensed matter, 49(11), 1994, pp. 7432-7442
Citations number
18
Categorie Soggetti
Physics, Condensed Matter
Journal title
Physical review. B, Condensed matter → ACNP
ISSN journal
01631829
Volume
49
Issue
11
Year of publication
1994
Pages
7432 - 7442
Database
ISI
SICI code
0163-1829(1994)49:11<7432:EBHISQ>2.0.ZU;2-I
Abstract
The Luttinger-Kohn canonical transformations are used to derive the ef fective band Hamiltonian for a quantum well. The transformations produ ce 8-function potentials in the effective-mass approximation. The boun dary conditions on envelope functions, obtained from this effective Ha miltonian, differ from the BenDaniel-Duke ansatz. The effective Hamilt onian depends on the electronic coherence length. It also has a veloci ty-dependent term that is proportional to the sum of band lineup energ ies.