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Hydrodynamic description of Weyl fermions in condensed state of matter

  • Regular Article - Computational Methods
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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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and no experimental data.]

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Acknowledgements

The work of Trukhanova Mariya Iv. is supported by the Russian Science Foundation under Grant No. 19-72-00017. The contribution of Pavel Andreev in this paper has been supported by the RUDN University Strategic Academic Leadership Program.

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Authors and Affiliations

  1. Faculty of Physics, M. V. Lomonosov Moscow State University, Leninskie Gory, 1, Moscow, Russia

    Mariya Iv. Trukhanova & Pavel Andreev

  2. Russian Academy of Sciences, Nuclear Safety Institute (IBRAE), B. Tulskaya, 52, Moscow, Russia

    Mariya Iv. Trukhanova

Authors
  1. Mariya Iv. Trukhanova
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  2. Pavel Andreev
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All authors contributed equally to the paper.

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Correspondence to Mariya Iv. Trukhanova.

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Trukhanova, M.I., Andreev, P. Hydrodynamic description of Weyl fermions in condensed state of matter. Eur. Phys. J. B 94, 170 (2021). https://doi.org/10.1140/epjb/s10051-021-00183-y

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