A novel secular equation for the coupled-band envelope-function approximation for superlattices and application to InAs/InxGa1 − xSb superlattices
✍ Scribed by Frank Szmulowicz
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 100 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0749-6036
No coin nor oath required. For personal study only.
✦ Synopsis
This paper derives and demonstrates a new secular equation for the coupled-band envelopefunction approximation (EFA) formalism for superlattices in order to overcome the difficulty of handling rapidly growing or decaying wavefunction components, in particular, the 'wing solutions'. In a second development, the generally nonHermitian secular equation is made Hermitian, making it easier to locate multiply degenerate roots. In the process, the simple Kronig-Penney model is recast into a form closely related to that for the underlying quantum well (QW) problem. The present method is applicable to Burt's EFA formalism. An InAs/InGaSb type-II superlattice is used to demonstrate the method.