Angle dependence of the orbital magnetoresistance in bismuth

Abstract

We present an extensive study of angle-dependent transverse magnetoresistance in bismuth, with a magnetic field perpendicular to the applied electric current and rotating in three distinct crystallographic planes. The observed angular oscillations are confronted with the expectations of semi-classic transport theory for a multi-valley system with anisotropic mobility and the agreement allows us to quantify the components of the mobility tensor for both electrons and holes. A quadratic temperature dependence is resolved. As Hartman argued long ago, this indicates that inelastic resistivity in bismuth is dominated by carrier-carrier scattering. At low temperature and high magnetic field, the threefold symmetry of the lattice is suddenly lost. Specifically, a $2\pi /3$ rotation of magnetic field around the trigonal axis modifies the amplitude of the magneto-resistance below a field-dependent temperature. By following the evolution of this anomaly as a function of temperature and magnetic field, we mapped the boundary in the (field, temperature) plane separating two electronic states. In the less-symmetric state, confined to low temperature and high magnetic field, the three Dirac valleys cease to be rotationally invariant. We discuss the possible origins of this spontaneous valley polarization, including a valley-nematic scenario.

15 pages, 14 figures

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• Angular dependence of magnetoresistance and planar Hall effect in semimetals in strong magnetic fields
• Intrinsic orbital and spin Hall effect in bismuth semimetal
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• Magnetism and Magnetotransport in the Kagome Antiferromagnet ${\text{Mn}}_3\text{Ge}$
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• Temperature-driven changes in the Fermi surface of graphite
• Effects of strain-tunable valleys on charge transport in bismuth
• Exploiting the violation of Lorentz symmetry for the planar Hall effect
• Materials and possible mechanisms of extremely large magnetoresistance: A review
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• Negative transverse magnetoresistance due to negative off-diagonal mass in linear dispersion materials
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