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

TL;DR

This paper explores how quantum anomalies in Weyl semimetals influence magneto-transport phenomena, predicting new effects and highlighting violations of classical laws due to chiral charge and energy pumping.

Contribution

It introduces the role of electrical, thermal, and gravitational chiral anomalies in magneto-transport, predicting novel effects like the planar Ettinghausen and Righi-Leduc effects in Weyl semimetals.

Findings

Prediction of planar Ettinghausen and Righi-Leduc effects as signatures of anomalies

Enhanced thermo-electric and thermal conductivities with temperature

Violation of Wiedemann-Franz law and Mott relation due to anomalies

Abstract

Quantum anomalies in Weyl semimetal (for either ${\bf E}\cdot{\bf B} \neq 0$ or ${\bf \nabla}T\cdot{\bf B} \neq 0$) 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 thermo-electric conductivity, Seebeck effect, Nernst effect and thermal conductivity with increasing temperature. Interestingly, this anomaly induced transport violates the Wiedemann-Franz law and Mott relation.