Magnetic quantum oscillations of the topological insulator surface states

Abstract

We study quantum oscillations of the magnetization in Bi${}_2$Se${}_3$(111) surface system in the presence of a perpendicular magnetic field. The combined spin-chiral Dirac cone and Landau quantization produce profound effects on the magnetization properties that are fundamentally different from those in the conventional semiconductor two-dimensional electron gas. In particular, we show that the oscillating center in the magnetization chooses to pick up positive or negative values depending on whether the zero-mode Landau level is occupied or empty. An intuitive analysis of these new features is given and the subsequent effects on the magnetic susceptibility and Hall conductance are also discussed.

arXiv comment5.5 PRB pages, 5 figures

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• Anisotropy effects on Rashba and topological insulator spin polarized surface states: a unified phenomenological description
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• Spin Response of Electrons on the Surface of a Topological Insulator
• Quantum capacitance of an ultrathin topological insulator film in a magnetic field
• Magnetic Properties of Dirac Fermions in a Buckled Honeycomb Lattice
• Particle-hole asymmetry on Hall conductivity of a topological insulator
• Particle-Hole Asymmetry in Gapped Topological Insulator Surface States
• Interacting Dirac Fermions on a Topological Insulator in a Magnetic Field
• Aperiodic quantum oscillations of particle-hole asymmetric Dirac cones
• Magnetization of the Metallic Surface States in Topological Insulators
• Anisotropic Fabry-Pérot resonant states confined within nano-steps on the topological insulator surface
• The Fractional Quantum Hall Effect of Tachyons in a Topological Insulator Junction
• Magnetoexcitons and optical absorption of bilayer-structured topological insulators
• A Mean-Field Study of Quantum Oscillations in Two-Dimensional Kondo Insulators
• Fractional quantum Hall effect of topological surface states under a strong tilted magnetic field
• Probing crossover from analogous weak antilocalization to localization by an Aharonov-Bohm interferometer on topological insulator surface
• Anomalous Behaviour in the Magneto-Optics of a Gapped Topological Insulator