{ "id": "1901.10067", "version": "v1", "published": "2019-01-29T01:59:45.000Z", "updated": "2019-01-29T01:59:45.000Z", "title": "Quantum-oscillation-modulated angular dependences of the positive longitudinal magnetoconductivity and planar Hall effect in Weyl semimetals", "authors": [ "Ming-Xun Deng", "Hou-Jian Duan", "Wei Luo", "W. Y. Deng", "Rui-Qiang Wang", "L. Sheng" ], "comment": "8 pages, 4 figures", "categories": [ "cond-mat.mes-hall" ], "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.", "revisions": [ { "version": "v1", "updated": "2019-01-29T01:59:45.000Z" } ], "analyses": { "keywords": [ "planar hall effect", "positive longitudinal magnetoconductivity", "quantum-oscillation-modulated angular dependences", "weyl semimetals", "weak magnetic field regime" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }