Bloch's theory in periodic structures with Rashba's spin-orbit interaction

Details Bloch's theory in periodic structures with Rashba's spin-orbit interaction Bloch's theory in periodic structures with Rashba's spin-orbit interaction

2007-05-25

arxiv.org/abs/0705.3830v2

Europhysics Letters 80, 27003 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 5 figures

Scientific paper

10.1209/0295-5075/80/27003

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.

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