# Anomalous Decay of Quantum Resistance Oscillations of Two Dimensional Helical Electrons in Magnetic Field

## TL;DR

This study investigates how magnetic field tilt and temperature affect quantum resistance oscillations in 2D helical electrons on strained HgTe, revealing decay mechanisms linked to impurity scattering and spectrum modification.

## Contribution

It provides a detailed analysis of the decay of quantum oscillations in 2D topological surface states under tilted magnetic fields and temperature variations, highlighting the loss of topological protection.

## Key findings

- Oscillation amplitude decreases exponentially with tilt angle.
- Temperature influences oscillation decay through a linear term.
- Magnetic fields modify the electron spectrum and mean free path.

## Abstract

Shubnikov de Haas resistance oscillations of highly mobile two dimensional helical electrons propagating on a conducting surface of strained HgTe 3D topological insulator are studied in magnetic fields B tilted by angle $\theta$ from the normal to the conducting layer. Strong decrease of oscillation amplitude A is observed with the tilt: $A \sim \exp(-\xi/cos(\theta))$, where $\xi$ is a constant. Evolution of the oscillations with temperature T shows that the parameter $\xi$ contains two terms: $\xi=\xi_1+\xi_2 T$. The temperature independent term, $\xi_1$, describes reduction of electron mean free path in magnetic field B pointing toward suppression of the topological protection of the electron states against impurity scattering. The temperature dependent term, $\xi_2 T$, indicates increase of the reciprocal velocity of 2D helical electrons suggesting modification of the electron spectrum in magnetic fields.