Theory for the negative longitudinal magnetoresistance in the quantum limit of Kramers Weyl semimetals

Abstract

Negative magnetoresistance is rare in non-magnetic materials. Recently, a negative magnetoresistance has been observed in the quantum limit of $\beta$-Ag${}_2$Se, where only one band of Landau levels is occupied in a strong magnetic field parallel to the applied current. $\beta$-Ag${}_2$Se is a material that host a Kramers Weyl cone with band degeneracy near the Fermi energy. Kramers Weyl cones exist at time-reversal invariant momenta in all symmorphic chiral crystals, and at a subset of these momenta, including the $\Gamma$ point, in non-symmorphic chiral crystals. Here, we present a theory for the negative magnetoresistance in the quantum limit of Kramers Weyl semimetals. We show that, although there is a band touching similar to those in Weyl semimetals, negative magnetoresistance can exist without a chiral anomaly. We find that it requires screened Coulomb scattering potentials between electrons and impurities, which is naturally the case in $\beta$-Ag${}_2$Se.

arXiv comment8 pages, 2 figures

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