Spin Hall effect and zitterbewegung in an electron waveguide

Abstract

We study spin-resolved probability distributions for electrons in a multichannel waveguide in the presence of a spin-orbit interaction. For a spin-polarized electron injection, a zitterbewegung pattern is predicted in the probability distribution of electrons in the waveguide. For a spin-unpolarized injection, the spin-resolved electron probability in the waveguide shows spin accumulations. In addition to the spin Hall phenomenon, namely accumulations of opposite spins at the lateral edges of the waveguide, we predict the existence of a regular stripe pattern of spin accumulations in the internal region of the waveguide. We show that the predicted zitterbewegung and spin Hall effect stem from the same mechanism and are formed from coherent states of electrons in the waveguide.

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Cited by in corpus (16)

• Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
• Unified description of the Zitterbewegung for spintronic, graphene and superconducting systems
• Oscillatory multiband dynamics of free particles: The ubiquity of zitterbewegung effects
• Non-Abelian evolution of electromagnetic waves in a weakly anisotropic inhomogeneous medium
• Cyclotron motion in graphene
• General Theory of the Zitterbewegung
• Magnetic focusing of charge carriers from spin-split bands: Semiclassics of a Zitterbewegung effect
• Cyclotron motion and magnetic focusing in semiconductor quantum wells with spin-orbit coupling
• Localized magnetic states in Rashba dots
• Zitterbewegung and bulk-edge Landau-Zener tunneling in topological insulators
• Simulation of Zitterbewegung by modelling the Dirac equation in Metamaterials
• Wave packet dynamics in hole Luttinger systems
• Spin-Hall effect and spin-coherent excitations in a strongly confined two-dimensional hole gas
• Spin-filtering and charge- and spin-switching effects in a quantum wire with periodically attached stubs
• Local spin polarisation of electrons in Rashba semiconductor nanowires: effects of the bound state
• Oscillation of spin polarization in a two-dimensional hole gas under a perpendicular magnetic field