Magnetotransport of Weyl semimetals with $\mathbb{Z}_2$ topological charge and chiral anomaly

TL;DR

This paper investigates the magnetoconductivity of Weyl semimetals with $ ext{Z}_2$ topological charge and chiral anomaly using hydrodynamic and holographic methods, revealing new transport phenomena influenced by topological and magnetic effects.

Contribution

It introduces a hydrodynamic and holographic framework to analyze magnetotransport in Weyl semimetals with $ ext{Z}_2$ symmetry and chiral anomaly, highlighting new transport coefficients.

Findings

Derived explicit magnetoconductivity dependence on magnetic fields.

Identified new transport coefficients due to topological charges.

Used holographic approach to analyze longitudinal magnetoconductivity.

Abstract

We calculate the magnetoconductivity of the Weyl semimetal with $\mathbb{Z}_2$ symmetry and chiral anomaly utilizing the recently developed hydrodynamic theory. The system in question will be influenced by magnetic fields connected with ordinary Maxwell and the second $U(1)$-gauge field, which is responsible for anomalous topological charge. The presence of chiral anomaly and $\mathbb{Z}_2$ anomalous charge endow the system with new transport coefficients. We start with the linear perturbations of the hydrodynamic equations and calculate the magnetoconductivity of this system. The holographic approach in the probe limit is implemented to obtain the explicit dependence of the longitudinal magnetoconductivities on the magnetic fields.