Transport across junctions of a Weyl and a multi-Weyl semimetal

Abstract

We study transport across junctions of a Weyl and a multi-Weyl semimetal (WSM and a MSM) separated by a region of thickness $d$ which has a barrier potential $U_0$. We show that in the thin barrier limit ($U_0\to \infty$ and $d\to 0$ with $\chi =U_{0}d/(\hslash v_F)$ kept finite, where $v_F$ is velocity of low-energy electrons and $\hslash$ is Planck's constant), the tunneling conductance $G$ across such a junction becomes independent of $\chi$. We demonstrate that such a barrier independence is a consequence of the change in the topological winding number of the Weyl nodes across the junction and point out that it has no analogue in tunneling conductance of either junctions of two-dimensional topological materials (such as graphene or topological insulators) or those made out of WSMs or MSMs with same topological winding numbers. We study this phenomenon both for normal-barrier-normal (NBN) and normal-barrier-superconductor (NBS) junctions involving WSMs and MSMs with arbitrary winding numbers and discuss experiments which can test our theory.

v3. Final accepted version; appendix added

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• Josephson junctions of Weyl and multi-Weyl semimetals
• Transmission and conductance across junctions of isotropic and anisotropic three-dimensional semimetals
• Fermi arc reconstruction at the interface of twisted Weyl semimetals
• Phase transitions in a holographic multi-Weyl semimetal
• Non-Linear Hall Effect in Multi-Weyl Semimetals
• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
• Photogalvanic response in multi-Weyl semimetals
• Transport across junctions of pseudospin-one fermions
• Equilibrium current in a Weyl-semimetal - superconductor heterostructure
• Theory of universal differential conductance of magnetic Weyl type -II junctions
• Signature of nodal topology in nonlinear quantum transport across junctions in Weyl and multi-Weyl semimetals