Disordered double Weyl node

Abstract

Double Weyl nodes are topologically protected band crossing points which carry chiral charge $\pm 2$. They are stabilized by $C_4$ point group symmetry and are predicted to occur in $\mathrm{SrS}{\mathrm{i}}_2$ or $\mathrm{HgC}{\mathrm{r}}_2\mathrm{S}{\mathrm{e}}_4$. We study their fate in the presence of quenched disorder by numerical transport calculations and scaling arguments. We find that a double Weyl node is unstable in a disordered environment and splits into a pair of emergent simple Weyl nodes which carry equal chiral charge of $\pm 1$. This pair of simple Weyl nodes is robust to disorder up to a certain critical disorder strength, in complete analogy to their `elementary' counterparts.

This manuscript has been withdrawn due to an error in the numerics

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• Magnus Hall effect in three-dimensional topological semimetals
• Transmission in pseudospin-1 and pseudospin-3/2 semimetals with linear dispersion through scalar and vector potential barriers
• Breakdown of Fermi liquid theory in topological multi-Weyl semimetals
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• Strongly angle-dependent magnetoresistance in Weyl semimetals with long-range disorder
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• Analysis of stochastic Lanczos quadrature for spectrum approximation
• Signature of nodal topology in nonlinear quantum transport across junctions in Weyl and multi-Weyl semimetals
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals