Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices

Details Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices

2007-06-17

arxiv.org/abs/0706.2486v3

Phys.Rev.Lett.99:190404,2007

Physics

Quantum Physics

5 pages, 2 figures, revised version, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.99.190404

We consider semiclassical higher-order wave packet solutions of the Schrodinger equation with phase vortices. The vortex line is aligned with the propagation direction, and the wave packet carries a well-defined orbital angular momentum (OAM) $\hbar l$ ($l$ is the vortex strength) along its main linear momentum. The probability current coils around momentum in such OAM states of electrons. In an electric field, these states evolve like massless particles with spin $l$. The magnetic-monopole Berry curvature appears in momentum space, which results in a spin-orbit-type interaction and a Berry/Magnus transverse force acting on the wave packet. This brings about the OAM Hall effect. In a magnetic field, there is a Zeeman interaction, which, can lead to more complicated dynamics.

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