Non-Abelian anomalies in multi-Weyl semimetals

  title={Non-Abelian anomalies in multi-Weyl semimetals},
  author={Renato M. A. Dantas and Francisco Pe{\~n}a-Benitez and Bitan Roy and Piotr Sur'owka},
  journal={Physical Review Research},
We construct the effective field theory for time-reversal symmetry breaking multi-Weyl semimetals (mWSMs), composed of a single pair of Weyl nodes of (anti-)monopole charge $n$, with $n=1,2,3$ in crystalline environment. From both the continuum and lattice models, we show that a mWSM with $n>1$ can be constructed by placing $n$ flavors of linearly dispersing simple Weyl fermions (with $n=1$) in a bath of an $SU(2)$ non-Abelian static background gauge field. Such an $SU(2)$ field preserves… 

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Anomalous Hall transport in tilted multi-Weyl semimetals.

  • A. MenonB. Basu
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2020
The presence of a perpendicular magnetic field quantizes the occupation pockets due to the presence of Fermi tubes in type-I mWSMs, and an expression for the type-II mWSM Hall conductivity is derived, which is bounded by a Landau level cutoff introduced on physical grounds.

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