Chiral anomaly factory: Creating Weyl fermions with a magnetic field

Jennifer Cano, Barry Bradlyn, Zhijun Wang, Max Hirschberger, N. P. Ong, B. A. Bernevig

Research output: Contribution to journalArticlepeer-review

99 Scopus citations


Weyl fermions can be created in materials with both time reversal and inversion symmetry by applying a magnetic field, as evidenced by recent measurements of anomalous negative magnetoresistance. Here, we do a thorough analysis of the Weyl points in these materials: By enforcing crystal symmetries, we classify the location and monopole charges of Weyl points created by fields aligned with high-symmetry axes. The analysis applies generally to materials with band inversion in the Td,D4h, and D6h point groups. For the Td point group, we find that Weyl nodes persist for all directions of the magnetic field. Further, we compute the anomalous magnetoresistance of field-created Weyl fermions in the semiclassical regime. We find that the magnetoresistance can scale nonquadratically with magnetic field, in contrast to materials with intrinsic Weyl nodes. Our results are relevant to future experiments in the semiclassical regime.

Original languageEnglish (US)
Article number161306
JournalPhysical Review B
Issue number16
StatePublished - Apr 17 2017

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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