Quantum oscillation modulated angular dependence of the positive longitudinal magnetoconductivity and planar Hall effect in Weyl semimetals
Abstract
We study the positive longitudinal magnetoconductivity (LMC) and planar Hall effect 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 cos6θ and cos5θ sinθ dependence on the angle θ between the magnetic and electric fields. For higher magnetic fields, the LMC and PHC cross over to cos2θ and cosθ sinθ dependence, respectively. Interestingly, the PHC could exhibit quantum oscillations with varying θ , 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.
- Publication:
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Physical Review B
- Pub Date:
- April 2019
- DOI:
- 10.1103/PhysRevB.99.165146
- arXiv:
- arXiv:1901.10067
- Bibcode:
- 2019PhRvB..99p5146D
- Keywords:
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- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 8 pages, 4 figures