A Scaling Behavior of Bloch Oscillation in Weyl Semimetals

TL;DR

This paper predicts a linear logarithmic scaling law for Bloch oscillations in Weyl semimetals, enabling direct detection of Weyl points and their topological properties through experimental measurements.

Contribution

It introduces a novel linear log-log scaling law for Bloch oscillations in Weyl semimetals, linking dynamics to topological features and proposing experimental detection schemes.

Findings

Transverse drift follows a linear log-log relation with minimal momentum near Weyl points.

The scaling law reveals the monopole structure and chirality of Weyl points.

Feasibility demonstrated with lattice models and cold atom experiments.

Abstract

We predict a linear logarithmical scaling law of Bloch oscillation dynamics in Weyl semimetals (WSMs), which can be applied to detect Weyl nodal points. Applying the semiclassical dynamics for quasiparticles which are accelerated bypassing a Weyl point, we show that transverse drift exhibits asymptotically a linear log-log relation with respect to the minimal momentum measured from the Weyl point. This linear scaling behavior is a consequence of the monopole structure nearby the Weyl points, thus providing a direct measurement of the topological nodal points, with the chirality and anisotropy being precisely determined. We apply the present results to two lattice models for WSMs which can be realized with cold atoms in experiment, and propose realistic schemes for the experimental detection. With the analytic and numerical results we show the feasibility of identifying topological Weyl nodal points based on the present prediction.