Nonmonotonic Hall effect of Weyl semimetals under magnetic field

TL;DR

This paper predicts a novel nonmonotonic Hall effect in Weyl semimetals caused by magnetic field interactions, offering new insights into their magnetotransport properties beyond the anomalous Hall effect.

Contribution

It introduces a new nonmonotonic Hall effect mechanism in Weyl semimetals linked to Landau level dynamics, independent of chemical potential tuning.

Findings

Identifies a nonmonotonic Hall response in Weyl semimetals.

Links the effect to Landau level bending and chiral Landau level shifting.

Provides a physical explanation consistent with existing measurements.

Abstract

Hall effect of topological quantum materials often reveals essential new physics and possesses potential for application. Magnetic Weyl semimetal is one especially interesting example that hosts an interplay between the spontaneous time-reversal symmetry-breaking topology and the external magnetic field. However, it is less known beyond the anomalous Hall effect thereof, which is unable to account for plenty of magnetotransport measurements. We propose a new Hall effect characteristically nonmonotonic with respect to the external field, intrinsic to the three-dimensional Weyl topology and free from chemical potential fine-tuning. Two related mechanisms from the Landau level bending and chiral Landau level shifting are found, together with their relation to Shubnikov-de Hass effect. This field-dependent Hall response, universal to thin films and bulk samples, provides a concrete physical picture for existing measurements and is promising to guide future experiments.