We investigate the nonlinear planar effects (NPEs) in Weyl semimetals (WSMs) starting from the semiclassical regime to the ultraquantum limit within the framework of Boltzmann transport theory incorporating Landau quantization. Based on our results, we propose quantum oscillations in the NPEs as a robust signature of the celebrated chiral anomaly (CA) in WSMs. By obtaining analytical expressions, we show that the quantum oscillations in the nonlinear regime exhibit two different periods in $B^{-1}$ ($B$ is the magnetic field) compared to the linear response regime with only one period in the inverse magnetic field. In addition, we obtain characteristic angular dependence of the CA-induced NPEs. We conclude that in light of the inconclusive sign of the CA-driven longitudinal magnetoconductance in WSMs as has been illustrated in recent theoretical work, the proposed behaviors of quantum oscillations in the nonlinear planar effects uniquely identify the existence of chiral anomaly in WSMs.

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• Landau levels
• Transport phenomena
• Weyl semimetal
• Boltzmann theory