Regular Article - Computational Methods
Hydrodynamic description of Weyl fermions in condensed state of matter
Faculty of Physics, M. V. Lomonosov Moscow State University, Leninskie Gory, 1, Moscow, Russia
2 Russian Academy of Sciences, Nuclear Safety Institute (IBRAE), B. Tulskaya, 52, Moscow, Russia
Accepted: 9 August 2021
Published online: 21 August 2021
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.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021