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

CONDENSED MATTER

Plasma oscillations of edge Dirac fermions

V. A. Volkov, I. V. Zagorodnev

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 “Schrödinger” 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

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Document Type: Article

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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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
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