| Issue |
EPL
Volume 80, Number 2, October 2007
|
|
|---|---|---|
| Article Number | 27003 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/80/27003 | |
| Published online | 19 September 2007 | |
Bloch's theory in periodic structures with Rashba's spin-orbit interaction
1
Institut für Theoretische Physik, Universität Regensburg - D-93040 Regensburg, Germany
2
Physikalische Institut, Albert-Ludwigs-Universität - D-79104 Freiburg, Germany
Received:
25
May
2007
Accepted:
28
August
2007
We consider a two-dimensional electron gas with Rashba's spin-orbit interaction and two in-plane potentials superimposed along directions perpendicular to each other. The first of these potentials is assumed to be a general periodic potential while the second one is totally arbitrary. A general form for Bloch's amplitude is found and an eigen-value problem for the band structure of the system is derived. We apply the general result to the two particular cases in which either the second potential represents a harmonic in-plane confinement or it is zero. We find that for a harmonic confinement regions of the Brillouin zone with high polarizations are associated with the ones of large group velocity.
PACS: 72.25.Dc – Spin polarized transport in semiconductors / 73.21.Hb – Quantum wires / 73.23.-b – Electronic transport in mesoscopic systems
© Europhysics Letters Association, 2007
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