Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices
Abstract
We consider semiclassical higherorder wave packet solutions of the Schrödinger equation with phase vortices. The vortex line is aligned with the propagation direction, and the wave packet carries a welldefined orbital angular momentum (OAM) ℏl (l is the vortex strength) along its main linear momentum. The probability current coils around the momentum in such OAM states of electrons. In an electric field, these states evolve like massless particles with spin l. The magneticmonopole Berry curvature appears in momentum space, which results in a spinorbittype 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.
 Publication:

Physical Review Letters
 Pub Date:
 November 2007
 DOI:
 10.1103/PhysRevLett.99.190404
 arXiv:
 arXiv:0706.2486
 Bibcode:
 2007PhRvL..99s0404B
 Keywords:

 03.65.Vf;
 03.65.Sq;
 03.75.b;
 72.10.d;
 Phases: geometric;
 dynamic or topological;
 Semiclassical theories and applications;
 Matter waves;
 Theory of electronic transport;
 scattering mechanisms;
 Quantum Physics;
 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect;
 Condensed Matter  Other;
 Physics  Optics
 EPrint:
 5 pages, 2 figures, revised version, to appear in Phys. Rev. Lett