Mesoscopic Spin-Hall Effect in 2D electron systems with smooth boundaries

Abstract

Spin-Hall effect in ballistic 2D electron gas with Rashba-type spin-orbit coupling and smooth edge confinement is studied. We predict that the interplay of semiclassical electron motion and quantum dynamics of spins leads to several distinct features in spin density along the edge that originate from accumulation of turning points from many classical trajectories. Strong peak is found near a point of the vanishing of electron Fermi velocity in the lower spin-split subband. It is followed by a strip of negative spin density that extends until the crossing of the local Fermi energy with the degeneracy point where the two spin subbands intersect. Beyond this crossing there is a wide region of a smooth positive spin density. The total amount of spin accumulated in each of these features exceeds greatly the net spin across the entire edge. The features become more pronounced for shallower boundary potentials, controlled by gating in typical experimental setups.

4 pages, 4 figures, published version

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• Spin Hall effect due to intersubband-induced spin-orbit interaction in symmetric quantum wells
• Intrinsic spin Hall effect in systems with striped spin-orbit coupling
• Edge spin accumulation: spin Hall effect without bulk spin current
• Giant edge spin accumulation in a symmetric quantum well with two subbands
• Electronic properties and polaronic dynamics of semi-Dirac system within ladder approximation
• Edge spin accumulation in 2D electron and hole systems in a quasi-ballistic regime
• Magnetization current and anomalous Hall effect for massive Dirac electrons
• Unitarity of scattering and edge spin accumulation
• Bulk Spin-Hall Effect
• Spin accumulation in the spin Nernst effect
• Spin currents in a normal two-dimensional electron gas in contact with a spin-orbit interaction region
• Local spin polarisation of electrons in Rashba semiconductor nanowires: effects of the bound state