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

TL;DR

This paper studies how quasiparticles in multi-Weyl semimetals tunnel through potential barriers influenced by magnetic fields, considering different orientations and comparing with Weyl semimetals.

Contribution

It provides a detailed analysis of tunneling phenomena in multi-Weyl semimetals under magnetic fields, including different barrier orientations and comparison with Weyl semimetals.

Findings

Tunneling characteristics depend on barrier orientation and magnetic field presence.

Multi-Weyl semimetals exhibit unique tunneling behaviors compared to Weyl semimetals.

Results highlight the role of anisotropic dispersion in tunneling processes.

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, $k_z$), and proportional to $k_\perp^J$ in the plane perpendicular to it (where $k_\perp =\sqrt{k_x^2+k_y^2}$). Hence, we study the cases when the barrier is perpendicular to $k_z$ and $k_x$, respectively. For comparison, we also state the corresponding results for the Weyl semimetal.