The hole Fermi surface in Bi${}_2$Se${}_3$ probed by quantum oscillations

Abstract

Transport and torque magnetometry measurements are performed at high magnetic fields and low temperatures in a series of p-type (Ca-doped) Bi${}_2$Se${}_3$ crystals. The angular dependence of the Shubnikov-de Haas and de Haas-van Alphen quantum oscillations enables us to determine the Fermi surface of the bulk valence band states as a function of the carrier density. At low density, the angular dependence exhibits a downturn in the oscillations frequency between $0^{\circ }$ and $90^{\circ }$, reflecting a bag-shaped hole Fermi surface. The detection of a single frequency for all tilt angles rules out the existence of a Fermi surface with different extremal cross-sections down to $24$~meV. There is therefore no signature of a camel-back in the valence band of our bulk samples, in accordance with the direct band gap predicted by $GW$ calculations.

A supplemental material file giving a more detailed description of our work is available upon request

References in corpus (13)

• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• p-type Bi2Se3 for topological insulator and low temperature thermoelectric applications
• Angular-dependent oscillations of the magnetoresistance in Bi_2Se_3 due to the three-dimensional bulk Fermi surface
• Evidence for a direct band gap in the topological insulator Bi2Se3 from theory and experiment
• Quasiparticle Effects in the Bulk and Surface-State Bands of Bi2Se3 and Bi2Te3 Topological Insulators
• Tuning carrier type and density in Bi2Se3 by Ca-doping
• Magneto-optics of massive Dirac fermions in bulk Bi2Se3
• Magnetothermoelectric properties of Bi2Se3
• Hyperfine coupling and spin polarization in the bulk of the topological insulator Bi${}_2$Se${}_3$
• Using the de Haas-van Alphen effect to map out the closed three-dimensional Fermi surface of natural graphite
• Doping-dependent charge dynamics in CuxBi2Se3

Cited by in corpus (5)

• Interband absorption edge in topological insulators Bi${}_2$(Te${}_{1-x}$Se${}_x$)${}_3$
• Bulk and surface spin conductivity in topological insulators with hexagonal warping
• Coexistence of bulk and surface states probed by Shubnikov-de Haas oscillations in Bi${}_2$Se${}_3$ with high charge-carrier density
• Ultrahigh magnetic field spectroscopy reveals the band structure of the 3D topological insulator Bi${}_2$Se${}_3$
• Observation of optical absorption correlated with surface state of topological insulator