Topological transport in $PT$ invariant Dirac nodal-line semimetals

W. B. Rui, Y. X. Zhao, Andreas P. Schnyder

Published 2017-03-17Version 1

$PT$ invariant nodal-line semimetals are characterized by one-dimensional Dirac nodal rings that are protected by the combined symmetry of inversion $P$ and time-reversal $T$. The stability of these Dirac rings is guaranteed by a quantized $\pm \pi$ Berry phase and their low-energy physics is described by a one-parameter family of (2+1)-dimensional quantum field theories exhibiting the parity anomaly. Here we study the Berry-phase supported topological transport of $PT$ invariant nodal-line semimetals. We find that small inversion breaking allows for an electric-field induced anomalous transverse current, whose universal component originates form the parity anomaly. Due to this Hall-like current, carriers at opposite sides of the Dirac nodal ring flow to opposite surfaces when an electric field is applied. To detect the topological currents, we propose a dumbbell device, which uses surface states to filter charges based on their momenta. Suggestions for experiments and potential device applications are discussed.