Relativistic Electron Vortex Beams: Angular Momentum and Spin-Orbit Interaction

Details Relativistic Electron Vortex Beams: Angular Momentum and Spin-Orbit Interaction Relativistic Electron Vortex Beams: Angular Momentum and Spin-Orbit Interaction

2011-05-02

arxiv.org/abs/1105.0331v3

Phys. Rev. Lett. 107, 174802 (2011)

Physics

Quantum Physics

4 pages, 2 figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.107.174802

Motivated by the recent discovery of electron vortex beams carrying orbital angular momentum (AM), we construct exact Bessel-beam solutions of the Dirac equation. They describe relativistic and nonparaxial corrections to the scalar electron beams. We describe the spin and orbital AM of the electron with Berry-phase corrections and predict the intrinsic spin-orbit coupling in free space. This can be observed as a spin-dependent probability distribution of the focused electron vortex beams. Moreover, the magnetic moment is calculated, which shows different $g$-factors for spin and orbital AM and also contains the Berry-phase correction.

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