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.
Highlights
Massless chiral fluids in the presence of a magnetic field exhibit chiral anomalies, which manifest as the nonconservation of chiral charge and energy densities [1,2,3,4,5,6]
Weyl semimetals (WSMs) hosting a pair of Weyl nodes of opposite chirality, which act as Berry curvature monopoles [7,8,9,10,11,12], offer an ideal platform to explore these
We have shown that in addition to planar Hall and planar Nernst effects, the planar Ettinghausen and Righi-Leduc effects arise from these anomalies
Summary
Massless chiral fluids in the presence of a magnetic field exhibit chiral anomalies, which manifest as the nonconservation of chiral charge and energy densities [1,2,3,4,5,6]. The nonconservation of chiral energy in the presence of temperature gradient (∇T · B = 0) is a manifestation of the gravitational chiral anomaly (GCA) [2,4,5] This leads to interesting signatures in magnetothermal transport in WSMs [5,24,25,26,27,28,29,30,31,32,33]. We demonstrate that the chiral anomaly induced transport coefficients violate the Wiedemann-Franz law, as well as the Mott relation in WSMs
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