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arXiv · 0705.3830

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

S. Smirnov·D. Bercioux·M. Grifoni
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Abstract

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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S. Smirnov, D. Bercioux, M. Grifoni. 2007-09-19. Bloch's theory in periodic structures with Rashba's spin-orbit interaction. https://doi.org/10.1209/0295-5075/80/27003

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