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

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. Using this approach, we simultaneously explain the qualitative change in the angular dependence of transverse magnetoresistance (TMR), anisotropic magnetoresistance, and planar Hall effect in bismuth with an increase in the magnetic field. We also considered the quantitative applicability of our theory. We found that the field dependence of mobility can result in a qualitative agreement in TMR far beyond the quantum limit ($\ensuremath{\gtrsim}10$ T).