Semiclassical magnetotransport including the effects of the Berry curvature and Lorentz force

Abstract

In topological semimetals and insulators, negative longitudinal magnetoresistance and angle-dependent planar Hall effect have been reported arising from the Berry curvature. Using the Boltzmann transport theory, we present a closed-form expression for the nonequilibrium distribution function which includes both the effects of the Berry curvature and Lorentz force. Using this formulation, we obtain analytical expressions for conductivity and resistivity tensors in Weyl semimetals demonstrating a non-monotonic field dependence arising from the competition between the two effects.

14 pages, 3 figures

References in corpus (4)

• Non-topological Origin of the Planar Hall Effect in Type-II Dirac Semimetal NiTe2
• Anisotropic and strong negative magneto-resistance in the three-dimensional topological insulator Bi2Se3
• Quantum Kinetic Theory of the Chiral Anomaly
• Semiclassical equations of motion for disordered conductors: extrinsic interband velocity, corrected collision integral and spin-orbit torques

Cited by in corpus (6)

• Planar Hall effect in topological Weyl and nodal line semimetals
• A combined First-principles and Boltzmann transport theory methodology for studying magnetotransport in magnetic materials
• Planar Hall Plateau in Magnetic Weyl Semimetals
• Semiclassical Boltzmann magnetotransport theory in anisotropic systems with a nonvanishing Berry curvature
• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field
• Effect of trivial bands on chiral anomaly-induced longitudinal magnetoconductivity in Weyl semimetals