Angle-resolved Landau spectrum of electrons and holes in bismuth

Abstract

In elemental bismuth, emptying the low-index Landau levels is accompanied by giant Nernst quantum oscillations. The Nernst response sharply peaks each time a Landau level intersects the chemical potential. By studying the evolution of these peaks when the field rotates in three perpendicular planes defined by three high-symmetry axes, we have mapped the angle-resolved Landau spectrum of the system up to 12 T. A theoretical model treating electrons at L point with an extended Dirac Hamiltonian is confronted with the experimentally-resolved spectrum. We obtain a set of theoretical parameters yielding a good but imperfect agreement between theory and experiment for all orientations of the magnetic field in space. The results confirm the relevance of the Dirac spectrum to the electron pockets and settle the longstanding uncertainty about the magnitude of the g-factor for holes. According to our analysis, a magnetic field exceeding 2.5 T applied along the bisectrix axis puts all carriers of the three electron pockets in their lowest($j=0$) spin-polarized Landau level. On top of this complex angle-dependent spectrum, experiment detects additional and unexpected Nernst peaks of unidentified origin.

13 pages, 13 figures, To appear in Phys. Rev. B

References in corpus (13)

• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Metal-Insulator-Like Behavior in Semimetallic Bismuth and Graphite
• Signatures of Electron Fractionalization in Ultraquantum Bismuth
• Nernst effect in semi-metals: the meritorious heaviness of electrons
• Oscillating Nernst-Ettingshausen effect in Bismuth across the quantum limit
• Charge carrier interaction with a purely electronic collective mode: Plasmarons and the infrared response of elemental bismuth
• Nematic Valley Ordering in Quantum Hall Systems
• Interband Effects of Magnetic Field on Hall Effects for Dirac Electrons in Bismuth
• Transport anomalies across the quantum limit in semimetallic Bi${}_{0.96}$Sb${}_{0.04}$
• Phase diagram of bismuth in the extreme quantum limit
• Origin of the peaks in the Nernst coefficient of bismuth in strong magnetic fields
• Oscillations of the Nernst coefficient in bismuth
• Nernst quantum oscillations in bulk semi-metals

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• Spin Pumping into Anisotropic Dirac Electrons
• Quantum transport through 3D Dirac materials
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• Impact of spin--orbit coupling on orbital diamagnetism in a narrow-gap semiconductor ${\mathrm{Pb}}_{1-x}{\mathrm{Sn}}_x\mathrm{Te}$
• Current induced magneto-optical Kerr effect as a probe of Dirac carriers in Bi${}_{1-x}$Sb${}_x$ alloy