Tunneling of multi-Weyl semimetals through a potential barrier under the influence of magnetic fields

We investigate the tunneling of quasiparticles arising in multi-Weyl semimetals through a barrier consisting both electrostatic and vector potentials, existing uniformly finite region along transmission axis. The dispersion semimetal is linear one direction (say, kz), proportional to k?J plane perpendicular it (where k?=kx2+ky2). Hence, we study cases when kz kx, respectively. For comparison, also state corresponding results for Weyl semimetal.