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.

arXiv comment6 pages, 5 figures

References in corpus (20)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Chiral anomaly as origin of planar Hall effect in Weyl semimetals
• Field-induced polarisation of Dirac valleys in bismuth
• Giant Planar Hall Effect in Topological Metals
• Planar Hall effect in the Weyl semimetal GdPtBi
• Experimental tests of the chiral anomaly magnetoresistance in the Dirac-Weyl semimetals Na${}_3$Bi and GdPtBi
• Transport Properties and Diamagnetism of Dirac Electrons in Bismuth
• Giant anisotropic magnetoresistance and planar Hall effect in the Dirac semimetal Cd3As2
• Giant Planar Hall Effect in the Dirac Semimetal ZrTe5
• Linear magnetoresistance in metals: guiding center diffusion in a smooth random potential
• Probing the Chiral Anomaly by Planar Hall Effect in Three-dimensional Dirac Semimetal Cd3As2 Nanoplates
• Angle-resolved Landau spectrum of electrons and holes in bismuth
• Planar Hall effect in type II Dirac semimetal VAl${}_3$
• Angle dependence of the orbital magnetoresistance in bismuth
• Emptying Dirac valleys in bismuth using high magnetic fields
• Magnetoresistance and valley degree of freedom in bulk bismuth
• Origin of the large anisotropic g-factor of holes in bismuth
• Nonperturbative Matrix Mechanics Approach to Spin-Split Landau Levels and g-Factor in Spin-Orbit Coupled Solids

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