# Zitterbewegung in time-reversal Weyl Semimetals

## TL;DR

This paper investigates the Zitterbewegung oscillations of fermions in Weyl semimetals, revealing how various parameters influence the effect and proposing potential experimental probing methods.

## Contribution

It provides a systematic analysis of Zitterbewegung in Weyl semimetals, including effects of wave packet width, Weyl node position, and periodic potentials, introducing new fermion behaviors.

## Key findings

- Zitterbewegung oscillations are influenced by wave packet width and Weyl node position.
- Introducing a cosine potential creates lower Fermi velocity fermions with robust oscillations.
- Periodic potential modulation leads to quasi-periodic Zitterbewegung behavior.

## Abstract

We perform a systematic study of the Zitterbewegung effect of fermions, which are described by a Gaussian wave with broken spatial-inversion symmetry in a three-dimensional low-energy Weyl semimetal. Our results show that the motion of fermions near the Weyl points is characterized by rectilinear motion and Zitterbewegung oscillation. The ZB oscillation is affected by the width of the Gaussian wave packet, the position of the Weyl node, and the chirality and anisotropy of the fermions. By introducing a one-dimensional cosine potential, the new generated massless fermions have lower Fermi Velocities, which results in a robust relativistic oscillation. Modulating the height and periodicity of periodic potential demonstrates that the ZB effect of fermions in the different Brillouin zones exhibits quasi-periodic behavior. These results may provide an appropriate system for probing the Zitterbewegung effect experimentally.