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Pis'ma v Zh. Èksper. Teoret. Fiz., 2013, Volume 97, Issue 7, Pages 469–472 (Mi jetpl3393)  

This article is cited in 1 scientific paper (total in 1 paper)

CONDENSED MATTER

Plasma oscillations of edge Dirac fermions

V. A. Volkov, I. V. Zagorodnev

Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences

Abstract: The dispersion law of one-dimensional plasmons in a quasi-one-dimensional system of massless Dirac fermions has been calculated. Two model two-dimensional systems where bands of edge states filled with such Dirac fermions appear at the edge have been considered. Edge states in the first system, topological insulator, are due to topological reasons. Edge states in the second system, system of massive Dirac fermions, have Tamm origin. It has been shown that the dispersion laws of plasmons in both systems in the long-wavelength limit differ only in the definition of the parameters (velocity and localization depth of Dirac fermions). The frequency of plasmons is formally quantum ($\omega \propto \hbar^{-1/2}$) and, in the case of the Coulomb interaction between electrons, depends slightly on the Fermi level $E_{F}$. The dependence on $E_{F}$ is stronger in the case of short-range interaction. The quantum features of oscillations of massless one-dimensional Dirac fermions are removed by introducing the mass of Dirac fermions at the Fermi level and their density. Correspondence to the dispersion law of classical one-dimensional plasma oscillations in a narrow stripe of Schrdinger electrons has been revealed.

DOI: https://doi.org/10.7868/S0370274X13070060

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English version:
Journal of Experimental and Theoretical Physics Letters, 2013, 97:7, 404–407

Bibliographic databases:

Document Type: Article
Received: 27.02.2013

Citation: V. A. Volkov, I. V. Zagorodnev, “Plasma oscillations of edge Dirac fermions”, Pis'ma v Zh. Èksper. Teoret. Fiz., 97:7 (2013), 469–472; JETP Letters, 97:7 (2013), 404–407

Citation in format AMSBIB
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\paper Plasma oscillations of edge Dirac fermions
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
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\pages 469--472
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\jour JETP Letters
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\vol 97
\issue 7
\pages 404--407
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Enaldiev V.V., “Collective Excitations in a Two-Component One-Dimensional Massless Dirac Plasma”, Phys. Rev. B, 98:15 (2018), 155417  crossref  isi  scopus
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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