1 / 9

The k∙p Method

The k∙p Method. Brad Malone Group Meeting 4/24/07. First used by Bardeen (1937) and Seitz (1940) Later extended by Shockley, Dresselhaus, Kittel, and Kane Uses: Obtaining analytic expressions for band dispersion and effective masses

zoltan
Télécharger la présentation

The k∙p Method

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The k∙p Method Brad Malone Group Meeting 4/24/07

  2. First used by Bardeen (1937) and Seitz (1940) • Later extended by Shockley, Dresselhaus, Kittel, and Kane Uses: • Obtaining analytic expressions for band dispersion and effective masses • Can also be used to get the band structure for the whole zone from zone center energy gaps and optical matrix elements

  3. The Matrix Element Theorem- The matrix element between the operator A and the wave functions Ψ1 and Ψ2 is nonzero only if the direct product of the representations of A and Ψ1 contains an irreducible representation of Ψ2 Example: The Wigner-Eckart Theorem

  4. Conduction Band effective mass in III-V and II-VI semiconductors: -Conduction band has Г1 symmetry; p has Г4 symmetry Ge GaAs InP InAs GaSb InSb CdTe Eg (eV) 0.89 1.55 1.34 0.45 0.81 0.24 1.59 m*/m (exp) 0.041 0.067 0.073 0.026 0.047 0.015 0.11 m*/m (theory) 0.04 0.078 0.067 0.023 0.04 0.012 0.08

  5. Splitting of a degenerate extremum by spin-orbit

  6. Löwdin’s perturbation method:

More Related