Non-adiabatic corrections to a chiral anomaly in topological nodal semimetals

Matej Badin

Published 2022-01-26Version 1

Studying many-body versions of Landau-Zener-like problem of non-interacting yet entangled electrons for several $k \cdot p$ models representing Weyl and Dirac semimetals, we systematically include non-adiabatic corrections to the quantum limit of the interband channel of conductivity connected to the chiral anomaly. Our study shows that a relative homotopy invariant [Sun, X. et al., Phys. Rev. Lett. 121, 106402 (2018)] and Euler class invariant [Bouhon, A. et al., Nat. Phys. 16, 1137-1143 (2020)] manifest in this conductivity channel. Moreover, we show that for non-symmorphic systems this contribution is sensitive to the direction of the applied magnetic field which suggests that the conjectured direction-selective chiral anomaly in non-symmorphic systems [Bzdu\v{s}ek, T. et al., Nature 538, 75-78 (2016)] could lead to a strongly anisotropic longitudinal magnetoresistance. The presented approach can be easily applied to other $k \cdot p$ or tight-binding models.