| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
28 March 2024 |
|
| | | |
|
Article overview
| |
|
The Kronig-Penney model extended to arbitrary potentials via numerical matrix mechanics | R.L. Pavelich
; F. Marsiglio
; | Date: |
13 Nov 2014 | Abstract: | The Kronig-Penney model describes what happens to electron states when a
confining potential is repeated indefinitely. This model uses a square well
potential; the energies and eigenstates can be obtained analytically for a the
single well, and then Bloch’s Theorem allows one to extend these solutions to
the periodically repeating square well potential. In this work we describe how
to obtain simple numerical solutions for the eigenvalues and eigenstates for
any confining potential within a unit cell, and then extend this procedure,
with virtually no extra effort, to the case of periodically repeating
potentials. In this way one can study the band structure effects which arise
from differently-shaped potentials. One of these effects is the electron-hole
mass asymmetry. More realistic unit cell potentials generally give rise to
higher electron-hole mass asymmetries. | Source: | arXiv, 1411.3607 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |