Higher rank chiral fermions in three-dimensional Weyl semimetals

Oleg Dubinkin, F. J. Burnell, Taylor L. Hughes

Research output: Contribution to journalArticlepeer-review


We report on exotic response properties in 3D time-reversal invariant Weyl semimetals with mirror symmetry. Despite having a vanishing anomalous Hall coefficient, we find that the momentum-space quadrupole moment formed by four Weyl nodes determines the coefficient of a mixed electromagnetic charge-stress response, in which momentum flows perpendicular to an applied electric field, and electric charge accumulates on certain types of lattice defects. This response is described by a mixed Chern-Simons-like term in 3 spatial dimensions, which couples a rank-2 gauge field to the usual electromagnetic gauge field. On certain 2D surfaces of the bulk 3D Weyl semimetal, we find what we will call rank-2 chiral fermions, with ω=kxky dispersion. Such fermion states have a mixed charge-momentum anomaly which is canceled by the bulk of the 3D system.

Original languageEnglish (US)
Article number115146
JournalPhysical Review B
Issue number11
StatePublished - Mar 15 2024
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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