Chiral anomaly induced nonlinear Hall effect in multi-Weyl semimetals

Abstract

After the experimental realization, the Berry curvature dipole (BCD) induced nonlinear Hall effect (NLHE) has attracted tremendous interest to the condensed matter community. Here, we investigate another family of Hall effect, namely, chiral anomaly induced nonlinear Hall effect (CNHE) in multi-Weyl semimetal (mWSM). In contrast to the BCD induced NLHE, CNHE appears because of the combination of both chiral anomaly and anomalous velocity due to non-trivial Berry curvature. Using the semiclassical Boltzmann theory within the relaxation time approximation, we show that, in contrast to the chiral anomaly induced linear Hall effect, the magnitude of CNHE decreases with the topological charge n. Interestingly, we find that unlike the case of n=1, the CNHE has different behaviors in different planes. Our prediction on the behavior of CNHE in mWSM can directly be checked in experiments.

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• Chiral anomaly induced nonlinear Nernst and thermal Hall effects in Weyl semimetals
• Role of topological charges in the nonlinear-optical response from Weyl semimetals
• Disorder in the non-linear anomalous Hall effect of $\mathcal{P}\mathcal{T}$-symmetric Dirac fermions
• Theoretical investigations on Kerr and Faraday rotations in topological multi-Weyl Semimetals
• Nonlinear magnetotransport in Weyl semimetal
• Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly
• Nonlinear optical responses in nodal line semimetals
• Chiral anomaly in noncentrosymmetric systems induced by spin-orbit coupling
• Nonlinear and nonreciprocal transport effects in untwinned thin films of ferromagnetic Weyl metal SrRuO${}_3$
• Quantum oscillations of the nonlinear planar effects signifying chiral anomaly in Weyl Semimetals
• Chiral anomaly-induced nonlinear Hall effect in spin-orbit coupled noncentrosymmetric metals
• Te Vacancy-Driven Anomalous Transport in ZrTe${}_5$ and HfTe${}_5$
• Quantum Hall Effect in a Weyl-Hubbard Model: Interplay between Topology and Correlation
• Non-divergent Chiral Charge Pumping in Weyl Semimetal
• Chiral Anomaly Induced Transverse Planar Transport Phenomena in Three Dimensional Spin-Orbit Coupled Metals