Quantum capacitance of an ultrathin topological insulator film in a magnetic field

Abstract

We present a theoretical study of the quantum magnetocapacitance of an ultrathin topological insulator film in an external magnetic field. The study is undertaken to investigate the interplay of the Zeeman interaction with the hybridization between the upper and lower surfaces of the thin film. Determining the density of states, we find that the electron-hole symmetry is broken when the Zeeman and hybridization energies are varied relative to each other. This leads to a change in the character of the magnetocapacitance at the charge neutrality point. We further show that in the presence of both Zeeman interaction and hybridization the magnetocapacitance exhibits beating at low and splitting of the Shubnikov de Haas oscillations at high perpendicular magnetic field. In addition, we address the crossover from perpendicular to parallel magnetic field and find consistency with recent experimental data.

arXiv comment5 pages and 4 figures

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• Particle-Hole Asymmetry in Gapped Topological Insulator Surface States
• Thermoelectric properties of an ultra-thin topological insulator
• Effect of Perturbative Hexagonal Warping on Quantum Capacitance in Ultra-Thin Topological Insulators
• Quantum Capacitance of a Topological Insulator-Ferromagnet Interface
• Anomalous Behaviour in the Magneto-Optics of a Gapped Topological Insulator
• Hybridization and Field Driven Phase Transitions in Hexagonally Warped Topological Insulators