Magnetic focusing of charge carriers from spin-split bands: Semiclassics of a Zitterbewegung effect
arXiv:0705.1741 · doi:10.1088/1367-2630/9/9/355
Abstract
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 discussing 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 fomulae, 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-like oscillatory dynamics of charge carriers from spin-split bands. The relation between the two phenomena is discussed, and we estimate the effect of Zitterbewegung-related corrections to the charge carriers' canonical position.
14 pages, 2 figures, IOP style, v2: minor changes, to appear in NJP Focus Issue on Spintronics
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- Spin Hall utilizing U(1) and SU(2) gauge fields
- Diffusion in the random gap model of mono- and bilayer graphene
- Long-range correlations in disordered graphene
- Magnetic breakdown of cyclotron orbits in systems with Rashba and Dresselhaus spin-orbit coupling
- Gate voltage dependent Rashba spin splitting in hole transverse magnetic focussing
- Spin polarisation and spin dependent scattering of holes in transverse magnetic focussing
- Imaging chiral Andreev reflection in the presence of Rashba spin-orbit coupling