Abstract:
We investigate the tunneling of the quasiparticles arising in multi-Weyl semimetals through a barrier consisting of both electrostatic and vector potentials, existing uniformly in a finite region along the transmission axis. The dispersion of a multi-Weyl semimetal is linear in one direction (say, ), and proportional to in the plane perpendicular to it (where ). Hence, we study the cases when the barrier is perpendicular to and , respectively. For comparison, we also state the corresponding results for the Weyl semimetal.