U Zülicke et al 2007 New J. Phys. 9 355 doi:10.1088/1367-2630/9/9/355
U Zülicke1,4, J Bolte2 and R Winkler3
Show affiliationsPart of Focus on Spintronics in Reduced Dimensions
We present a theoretical study of the interplay between cyclotron motion and spin splitting of charge carriers in solids. While many of our results apply more generally, we focus especially on the Rashba model describing electrons in the conduction band of asymmetric semiconductor heterostructures. Appropriate semiclassical limits are distinguished that describe various situations of experimental interest. Our analytical formulae, which take full account of Zeeman splitting, are used to analyse recent magnetic-focusing data. Surprisingly, it turns out that the Rashba effect can dominate the splitting of cyclotron orbits even when the Rashba and Zeeman spin-splitting energies are of the same order. We also find that the origin of spin-dependent cyclotron motion can be traced back to Zitterbewegung (ZB)-like oscillatory dynamics of charge carriers from spin-split bands. The relation between the two phenomena is discussed, and we estimate the effect of ZB-related corrections to the charge carriers' canonical position.
73.20.At Surface states, band structure, electron density of states
71.70.Ej Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect
72.20.-i Conductivity phenomena in semiconductors and insulators
Issue 9 (September 2007)
Received 12 May 2007
Published 28 September 2007
U Zülicke et al 2007 New J. Phys. 9 355
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