Magnetic quantum oscillations of the topological insulator surface states

TL;DR

This paper investigates quantum oscillations of magnetization in the surface states of topological insulator Bi2Se3, revealing unique effects due to Dirac cone and Landau levels that differ from conventional 2D electron gases.

Contribution

It provides a detailed analysis of magnetization oscillations in topological insulator surface states, highlighting the influence of zero-mode Landau levels on magnetic properties.

Findings

Magnetization oscillations depend on zero-mode Landau level occupancy.

Distinct magnetization behavior from conventional 2D electron gases.

Implications for magnetic susceptibility and Hall conductance.

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.