Quantum-oscillation-modulated angular dependences of the positive longitudinal magnetoconductivity and planar Hall effect in Weyl semimetals

Abstract

We study the positive longitudinal magnetoconductivity (LMC) and planar Hall effect as emergent effects of the chiral anomaly in Weyl semimetals, following a recent-developed theory by integrating the Landau quantization with Boltzmann equation. It is found that, in the weak magnetic field regime, the LMC and planar Hall conductivity (PHC) obey ${\cos }^6\theta$ and ${\cos }^5\theta \sin \theta$ dependences on the angle $\theta$ between the magnetic and electric fields. For higher magnetic fields, the LMC and PHC cross over to ${\cos }^2\theta$ and $\cos \theta \sin \theta$ dependences, respectively. Interestingly, the PHC could exhibit quantum oscillations with varying $\theta$, due to the periodic-in-$1/B$ oscillations of the chiral chemical potential. When the magnetic and electric fields are noncollinear, the LMC and PHC will deviate from the classical $B$-quadratic dependence, even in the weak magnetic field regime.

8 pages, 4 figures

References in corpus (11)

• Topological response in Weyl semimetals and the chiral anomaly
• Novel electric field effects on Landau levels in Graphene
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Gate-Tunable Negative Longitudinal Magnetoresistance in the Predicted Type-II Weyl Semimetal WTe2
• Negative longitudinal magnetoresistance in Dirac and Weyl metals
• Anisotropic Magnetotransport and Exotic Longitudinal Linear Magnetoresistance in WTe2 Crystals
• Friedel oscillations due to Fermi arcs in Weyl semimetals
• Experimental observation of anisotropic Adler-Bell-Jackiw anomaly in type-II Weyl semimetal WTe${}_{1.98}$ crystals at the quasi-classical regime
• Algebraic solution of a graphene layer in a transverse electric and perpendicular magnetic fields
• Crossed surface flat bands of Weyl semimetal superconductors
• Carrier screening, transport, and relaxation in 3D Dirac semimetals

Cited by in corpus (1)

• Electrically tunable Kondo effect as a direct measurement of the chiral anomaly in disorder Weyl semimetals