  The orbital angular momentum Hall effect and spin Hall effect of electron
vortex beams (EVB) have been studied for the EVBs interacting with laser field.
In the scenario of paraxial beam, the cumulative effect of the orbit-orbit
interaction of EVBs and laser fields drives the orbital Hall effect, which in
turn produces a shift of the center of the beam from that of the field-free
case towards the polarization axis of photons. Besides, for non-paraxial beams
one can also perceive a similar shift of the center of the beam owing to spin
Hall effect involving spin-orbit interaction. Our analysis suggests that the
shift in the paraxial beams will always be larger than that in non-paraxial
beams.
