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

Abstract

Quantum anomalies in Weyl semimetal (for either $\mathbf{E}\cdot \mathbf{B}\ne 0$ or $\nabla T\cdot \mathbf{B}\ne 0$) 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.

5 pages, 4 figures. Comments/Criticism is welcome; References updated + minor corrections

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Cited by in corpus (1)

• Intrinsic Hall conductivities induced by the orbital magnetic moment