Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons

E. V. Gorbar, V. A. Miransky, Igor Shovkovy, P. O. Sukhachov

    Research output: Contribution to journalArticlepeer-review

    75 Scopus citations


    We argue that the correct definition of the electric current in the chiral kinetic theory for Weyl materials should include the Chern-Simons contribution that makes the theory consistent with the local conservation of the electric charge in electromagnetic and strain-induced pseudoelectromagnetic fields. By making use of such a kinetic theory, we study the plasma frequencies of collective modes in Weyl materials in constant magnetic and pseudomagnetic fields, taking into account the effects of dynamical electromagnetism. We show that the collective modes are chiral plasmons. While the plasma frequency of the longitudinal collective mode coincides with the Langmuir one, this mode is unusual because it is characterized not only by oscillations of the electric current density, but also by oscillations of the chiral current density. The latter are triggered by a dynamical version of the chiral electric separation effect. We also find that the plasma frequencies of the transverse modes split up in a magnetic field. This finding suggests an efficient means of extracting the chiral shift parameter from the measurement of the plasma frequencies in Weyl materials.

    Original languageEnglish (US)
    Article number127601
    JournalPhysical Review Letters
    Issue number12
    StatePublished - Mar 23 2017

    ASJC Scopus subject areas

    • General Physics and Astronomy


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