Landau levels with magnetic tunnelling in Weyl semimetal and magnetoconductance of ballistic $p$-$n$ junction

Abstract

We study Landau levels (LLs) of Weyl semimetal (WSM) with two adjacent Weyl nodes. We consider different orientations $\eta =\angle (\mathbf{B},{\mathbf{k}}_0)$ of magnetic field $\mathbf{B}$ with respect to ${\mathbf{k}}_0$, the vector of Weyl nodes splitting. Magnetic field facilitates the tunneling between the nodes giving rise to a gap in the transverse energy of the zeroth LL. We show how the spectrum is rearranged at different $\eta$ and how this manifests itself in the change of behavior of differential magnetoconductance $dG(B)/dB$ of a ballistic $p$-$n$ junction. Unlike the single-cone model where Klein tunneling reveals itself in positive $dG(B)/dB$, in the two-cone case $G(B)$ is non-monotonic with maximum at $B_c\propto {\Phi }_0{k}_0^2/\ln (k_0{l}_E)$ for large $k_0{l}_E$, where $l_E=\sqrt{\hslash v/|e|E}$ with $E$ for built in electric field and ${\Phi }_0$ for magnetic flux quantum.

arXiv comment7 pages, 5 figures, 1 table

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