Landau spectrum and twin boundaries of bismuth in the extreme quantum limit

Abstract

The Landau spectrum of bismuth is complex and includes many angle-dependent lines in the extreme quantum limit. The adequacy of single-particle theory to describe this spectrum in detail has been an open issue. Here, we present a study of angle-resolved Nernst effect in bismuth, which maps the angle-resolved Landau spectrum for the entire solid angle up to 28 T. The experimental map is in good agreement with the results of a theoretical model with parabolic dispersion for holes and an extended Dirac Hamiltonian for electrons. The angular dependence of additional lines in the Landau spectrum allows to uncover the mystery of their origin. They correspond to the lines expected for the hole Landau levels in a secondary crystal tilted by 108 degrees, the angle between twinned crystals in bismuth. According to our results, the electron reservoirs of the two identical tilted crystals have different chemical potentials and carriers across the twin boundary have different concentrations. An exceptional feature of this junction is that it separates two electron-hole compensated reservoirs. The link between this edge singularity and the states wrapping a three-dimensional electron gas in the quantum limit emerges as an outstanding open question.

16 pages including Supplementary Information

References in corpus (9)

• Signatures of Electron Fractionalization in Ultraquantum Bismuth
• Oscillating Nernst-Ettingshausen effect in Bismuth across the quantum limit
• Interband Effects of Magnetic Field on Hall Effects for Dirac Electrons in Bismuth
• Phase diagram of bismuth in the extreme quantum limit
• Giant Nernst-Ettingshausen oscillations in Semiclassically strong magnetic fields
• Signatures of surface states in bismuth at high magnetic fields
• Origin of the peaks in the Nernst coefficient of bismuth in strong magnetic fields
• Nernst response of the Landau tubes in graphite across the quantum limit
• Oscillations of the Nernst coefficient in bismuth

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• Thermodynamic evidence for valley-dependent density of states in bulk bismuth
• Capacitive detection of magnetostriction, dielectric constant, and magneto-caloric effects in pulsed magnetic fields
• Spin-Hall Effect and Diamagnetism of Anisotropic Dirac Electrons in Solids
• Critical point for Bose-Einstein condensation of excitons in graphite
• Boundary conductance in macroscopic bismuth crystals
• Spontaneous symmetry breaking of magnetostriction in metals with multi-valley band structure
• A field-induced reentrant insulator state of a gap-closed topological insulator (Bi_{1-x}Sb_x) in quantum-limit states
• High-field immiscibility of electrons belonging to adjacent twinned bismuth crystals