Spin-Hall edge spin polarization in a ballistic 2D electron system

Abstract

Universal properties of spin-Hall effect in ballistic 2D electron systems are addressed. The net spin polarization across the edge of the conductor is second order, ~λ^2, in spin-orbit coupling constant independent of the form of the boundary potential, with the contributions of normal and evanescent modes each being ~ \sqrtλ but of opposite signs. This general result is confirmed by the analytical solution for a hard-wall boundary, which also yields the detailed distribution of the local spin polarization. The latter shows fast (Friedel) oscillations with the spin-orbit coupling entering via the period of slow beatings only. Long-wavelength contributions of evanescent and normal modes exactly cancel each other in the spectral distribution of the local spin density.

4+ pages, 3 figures; final form, Dresselhaus coupling included

References in corpus (15)

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• Intrinsic Spin Hall Edges
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• Spin Hall utilizing U(1) and SU(2) gauge fields
• How to construct the proper gauge-invariant density matrix in steady-state nonequilibrium: Applications to spin-transfer and spin-orbit torques
• Spin accumulation without spin current
• Giant mesoscopic spin Hall effect on surface of topological insulator
• Mesoscopic Spin-Hall Effect in 2D electron systems with smooth boundaries
• Intrinsic spin Hall effect in systems with striped spin-orbit coupling
• Edge spin accumulation: spin Hall effect without bulk spin current
• What can we learn about the dynamics of transported spins by measuring shot noise in spin-orbit-coupled nanostructures?
• Edge-induced spin polarization in two-dimensional electron gas
• Edge spin accumulation in a ballistic regime
• Giant edge spin accumulation in a symmetric quantum well with two subbands
• Spin and Charge Shot Noise in Mesoscopic Spin Hall Systems
• Edge spin accumulation in 2D electron and hole systems in a quasi-ballistic regime
• Unitarity of scattering and edge spin accumulation
• Frequency- and transverse wave-vector-dependent spin Hall conductivity in two-dimensional electron gas with disorder
• Spin accumulation in the spin Nernst effect
• Universal spatial correlations in random spinor fields
• Local spin polarisation of electrons in Rashba semiconductor nanowires: effects of the bound state