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Toward a theory of plasma waves in bilayer graphene

  • P. V. Badikova
  • S. Yu. GlazovEmail author
Proceedings of the XV National Sukhorukov Seminar “Wave Phenomena in Inhomogeneous Media” (Waves 2016)

Abstract

An expression for the longitudinal dielectric permeability of a nondegenerated electron gas in bilayer graphene is derived. In the calculations, the single-band low-energy approximation is used for the electron spectrum. The dispersion relation and the damping rate of plasma waves in bilayer graphene are found.

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References

  1. 1.
    Castro Neto, A.H., Guinea, F., Peres, N.M.R., et al., Rev. Mod. Phys., 2009, vol. 81, p. 109.ADSCrossRefGoogle Scholar
  2. 2.
    Das Sarma, S., Adam, S., Hwang, E.H., and Rossi, E., Rev. Mod. Phys., 2011, vol. 83, p. 407.ADSCrossRefGoogle Scholar
  3. 3.
    Castro, E.V., Novoselov, K.S., Morozov, S.V., et al., J. Phys.: Condens. Matter, 2010, vol. 22, p. 175503.ADSGoogle Scholar
  4. 4.
    Mucha-Kruczinski, M., McCann, E., and Falko, V.I., Semicond. Sci. Technol., 2010, vol. 25, no. 3, p. 033001.ADSCrossRefGoogle Scholar
  5. 5.
    Kuzmenko, A.B., van Heumen, E., van der Marel, D., et al., Phys. Rev. B, 2009, vol. 79, p. 115441.ADSCrossRefGoogle Scholar
  6. 6.
    Orlita, M., Faugeras, C., Borisiuk, J., et al., Phys. Rev. B, 2011, vol. 83, p. 125302.ADSCrossRefGoogle Scholar
  7. 7.
    Nilsson, J. and Castro Neto, A.H., Phys. Rev. Lett., 2007, vol. 98, p. 126801.ADSCrossRefGoogle Scholar
  8. 8.
    Nilsson, J., Castro Neto, A.H., Guinea, F., and Peres, N.M.R., Phys. Rev. B, 2007, vol. 76, p. 165416.ADSCrossRefGoogle Scholar
  9. 9.
    Shur, M.S., Introduction to Electronic Devices, NewYork Wiley, 1995.Google Scholar
  10. 10.
    Spirito, D., Coquillat, D., De Bonis, S.L., et al., Appl. Phys. Lett., 2014, vol. 104, no. 6, p. 061111.ADSCrossRefGoogle Scholar
  11. 11.
    Muravev, V.M., Kukushkin, I.V., Smet, J., and von Klitzing, K., JETP Lett., 2009, vol. 90, no. 3, p. 216.CrossRefGoogle Scholar
  12. 12.
    Hill, A., Mikhailov, S.A., and Ziegler, K., Europhys. Lett., 2009, vol. 87, no. 2, p. 27005.ADSCrossRefGoogle Scholar
  13. 13.
    Das Sarma, S. and Hwang, E.H., Phys. Rev. Lett., 2009, vol. 102, p. 206412.ADSCrossRefGoogle Scholar
  14. 14.
    Pyatkovskiy, P.K., J. Phys.: Condens. Matter, 2009, vol. 21, no. 2, p. 025506.ADSGoogle Scholar
  15. 15.
    Glazov, S.Yu., Kovalev, A.A., and Mescheryakova, N.E., Bull. Russ. Acad. Sci.: Phys., 2012, vol. 76, no. 12, p. 1323.CrossRefGoogle Scholar
  16. 16.
    Glazov, S.Yu., Kovalev, A.A., and Mescheryakova, N.E., Semiconductors, 2015, vol. 49, no. 4, p. 504.ADSCrossRefGoogle Scholar
  17. 17.
    Hassan, N.M., Mkhitaryan, V.V., and Mishchenko, E.G., Phys. Rev. B, 2012, vol. 85, p. 125411.ADSCrossRefGoogle Scholar
  18. 18.
    Stauber, T., J. Phys.: Condens. Matter, 2014, vol. 26, no. 12, p. 123201.Google Scholar
  19. 19.
    Das Sarma, S. and Qiuzi, Li, Phys. Rev. B, 2013, vol. 87, p. 235418.ADSCrossRefGoogle Scholar
  20. 20.
    Hwang, E.H., Sensarama, R., and Das Sarma, S., Phys. Rev. B, 2010, vol. 82, p. 195406.ADSCrossRefGoogle Scholar
  21. 21.
    Low, T., Guinea, F., Yan, H., et al., Phys. Rev. Lett., 2014, vol. 112, no. 11, p. 116801.ADSCrossRefGoogle Scholar
  22. 22.
    Konchenkov, V.I., Kinetic properties of graphene and graphene-based superlattices in high-frequency electric fields and a constant magnetic field, Cand. Sci. (Phys.–Math.) Dissertation, Volgograd Volgograd State Tech. Univ., 2012.Google Scholar
  23. 23.
    Landau, L.D. and Lifshitz, E.M., Kurs teoreticheskoi fiziki (Course of Theoretical Physics), vol. 10 Fizicheskaya kinetika (Physical Kinetics), Moscow: Fizmatlit, 2007.Google Scholar
  24. 24.
    Migdal, A.B., Kachestvennye metody v kvantovoi teorii (Qualitative Methods in Quantum Theory), Moscow Nauka, 1975.Google Scholar
  25. 25.
    Stern, F., Phys. Rev. Lett., 1967, vol. 18, no. 14, p. 546.ADSCrossRefGoogle Scholar

Copyright information

© Allerton Press, Inc. 2017

Authors and Affiliations

  1. 1.Volgograd State Social Pedagogical UniversityVolgogradRussia

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