Thermal and gravitational chiral anomaly induced magneto-transport in Weyl semimetals

Abstract

Quantum anomalies in Weyl semimetal (for either E·B≠0 or ∇T·B≠0) leads to chiral charge and energy pumping between the opposite chirality nodes. This results in chiral charge and energy imbalance between the Weyl nodes which manifests in several intriguing magneto-transport phenomena. Here, we investigate the role of electrical-, thermal-, and gravitational chiral anomaly on magneto-transport in Weyl semimetals. We predict the planar Ettinghausen and Righi-Leduc effect to be a distinct signature of these quantum anomalies. We also demonstrate a significant enhancement in the thermoelectric conductivity, Seebeck effect, Nernst effect, and thermal conductivity with increasing temperature. Interestingly, this anomaly induced transport violates the Wiedemann-Franz law and Mott relation.