Angular dependence of magnetoresistance and planar Hall effect in semimetals in strong magnetic fields

Abstract

The semiclassical transport theory is especially powerful for investigating galvanomagnetic effects. Generally, the semiclassical theory is applicable only in weak fields because it does not consider Landau quantization. Herein, we extend the conventional semiclassical theory by considering Landau quantization through the field dependence of carrier density in semimetals. The extended semiclassical theory is applicable even in strong fields, where Landau quantization is noticeable. Using this new approach, we explain the qualitative change in the angular dependence of transverse magnetoresistance (TMR), anisotropic magnetoresistance (AMR), and planar Hall effect (PHE) in bismuth with an increase in the magnetic field. This unveils the puzzle of nontrivial field-induced changes in TMR, AMR, and PHE observed recently in semimetal bismuth.

6 pages, 5 figures

References in corpus (2)

• Transport Properties and Diamagnetism of Dirac Electrons in Bismuth
• Angle dependence of the orbital magnetoresistance in bismuth

Cited by in corpus (7)

• Higher-order Oscillatory Planar Hall Effect in Topological Kagome Metal
• Complex field-, temperature-, and angle-dependent Hall effects from intrinsic Fermi surface revealed by first-principles calculations
• Boundary conductance in macroscopic bismuth crystals
• Orbital origin of fourfold anisotropic magnetoresistance in Dirac materials
• Quantum--classical correspondence and dissipative to dissipationless crossover in magnetotransport phenomena
• Pseudo anomalous Hall effect in semiconductors and semimetals: A classical perspective
• Classical transport theory for the planar Hall effect with threefold symmetry