The Berry phase and the phase of the Shubnikov-de Haas oscillations in three-dimensional topological insulators

TL;DR

This paper investigates how Berry phase and Zeeman coupling influence the phase of Shubnikov-de Haas oscillations in surface electrons of 3D topological insulators, linking theoretical calculations with experimental data.

Contribution

It provides a semiclassical calculation of the Berry phase and Zeeman effects on oscillation phases in Bi2X3 topological insulators, connecting theory with experiments.

Findings

Berry phase and Zeeman coupling significantly affect oscillation phase

Theoretical results align with experimental observations

Insights into surface electron behavior in topological insulators

Abstract

Within the semiclassical approach, we calculate contributions of the Berry phase and of the Zeeman coupling of the electron moment with the magnetic field to the phase of the Shubnikov - de Haas oscillations for the surface electrons in the Bi$_2$X$_3$ family of three-dimensional topological insulators (X stands for Te or Se). We also discuss a relation of the obtained results with published experimental data on the Shubnikov-de Haas oscillations for this family of topological insulators.