Intrinsic Anomalous Hall Effect in Type-II Weyl Semimetals

Abstract

Recently, a new type of Weyl semimetal called type-II Weyl semimetal has been proposed. Unlike the usual (type-I) Weyl semimetal, which has a point-like Fermi surface, this new type of Weyl semimetal has a tilted conical spectrum around the Weyl point. Here we calculate the anomalous Hall conductivity of a Weyl semimetal with a tilted conical spectrum for a pair of Weyl points, using the Kubo formula. We find that the Hall conductivity is not universal and can change sign as a function of the parameters quantifying the tilts. Our results suggest that even for the case where the separation between the Weyl points vanishes, tilting of the conical spectrum could give rise to a finite anomalous Hall effect, if the tilts of the two cones are not identical.

The version as accepted in JETP Letters, to appear in vol. 103, issue 11

References in corpus (3)

• Topological response in Weyl semimetals and the chiral anomaly
• Anomalous Hall Effect in Weyl Metals
• Emergent Weyl spinors in multi-fermion systems

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