Hydrodynamic description of Weyl fermions in condensed state of matter

TL;DR

This paper develops a quantum hydrodynamics-based fluid model to describe Weyl fermions in Weyl semimetals, predicting new eigenwaves and advancing understanding of their transport properties in external fields.

Contribution

It introduces a novel fluid model for Weyl fermions using many-particle quantum hydrodynamics, capturing their dynamics near Weyl points in external electromagnetic fields.

Findings

Predicted a new type of eigenwaves in Weyl fermion systems.

Established a closed system of equations for electron current and spin dynamics.

Provided insights into transport properties of Weyl semimetals.

Abstract

Due to the many unique transport properties of Weyl semimetals, they are promising materials for modern electronics. We investigate the electrons in the strong coupling approximation near Weyl points based on their representation as massless Weyl fermions. We have constructed a new fluid model based on the many-particle quantum hydrodynamics method to describe the behavior of electrons gas with different chirality near Weyl points in the low-energy limit in the external electromagnetic fields, based on the many-particle Weyl equation and many-particle wave function. The derived system of equations forms a closed apparatus for describing the dynamics of the electron current, spin density and spin current density. Based on the proposed model, we considered small perturbations in the Weyl fermion system in an external uniform magnetic field and predicted the new type of eigenwaves in the systems of the electrons near the Weyl points.