Volume 80, Number 2, October 2007
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||19 September 2007|
Bloch's theory in periodic structures with Rashba's spin-orbit interaction
Institut für Theoretische Physik, Universität Regensburg - D-93040 Regensburg, Germany
2 Physikalische Institut, Albert-Ludwigs-Universität - D-79104 Freiburg, Germany
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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