Disordered double Weyl node: Comparison of transport and density-of-states calculations

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 stability and physical properties in the presence of a disorder potential. We investigate the density of states and the quantum transport properties at the nodal point. We find that, in contrast to their counterparts with unit chiral charge, double Weyl nodes are unstable to any finite amount of disorder and give rise to a diffusive phase, in agreement with predictions of Goswami and Nevidomskyy [Phys. Rev. B 92, 214504 (2015)] and Bera, Sau, and Roy [Phys. Rev. B 93, 201302(R) (2016)]. However, for finite system sizes a crossover between pseudodiffusive and diffusive quantum transport can be observed.

Supersedes arXiv:1512.07164

References in corpus (6)

• The Kernel Polynomial Method
• Quantum-limited shot noise in graphene
• Topological delocalization of two-dimensional massless Dirac fermions
• Crossover from quantum to Boltzmann transport in graphene
• Unconventional localisation transition in high dimensions
• Ballistic transport in disordered graphene

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