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On the dispersion relation of magnetoplasmons in a planar graphene-based superlattice

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Abstract

The dispersion relation for magnetoplasmons in a planar superlattice with periodically alternating regions of gapless and gapped modifications of graphene has been derived within the frame of the random-phase approximation. The contribution of virtual transitions between the lower electron miniband and the upper hole miniband to the polarization operator has been taken into account in addition to the contribution of virtual intra-miniband transitions.

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References

  1. Yu. E. Lozovik, S. P. Merkulova, and A. A. Sokolik, Phys. Usp. 51, 727 (2008).

    ADS  Google Scholar 

  2. O. L. Berman, G. Gumbs, and Yu. E. Lozovik, Phys. Rev. B 78, 085401 (2008).

    Article  ADS  Google Scholar 

  3. P. V. Ratnikov, JETP Lett. 90, 469 (2009).

    Article  ADS  Google Scholar 

  4. P. V. Ratnikov and A. P. Silin, JETP Lett. 102, 713 (2015).

    Article  ADS  Google Scholar 

  5. G. L. Bir and G. E. Pikus, Symmetry and Stain-Induced Effects in Semiconductors (Nauka, Moscow, 1972; Wiley, New York, 1975).

    Google Scholar 

  6. J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964; Nauka, Moscow, 1978), Vol. 1.

    MATH  Google Scholar 

  7. V. N. Tsytovich, Sov. Phys. JETP 13, 1249 (1961).

    Google Scholar 

  8. J. González, F. Guinea, and M. A. H. Vozmediano, Nucl. Phys. B 424, 595 (1994).

    Article  ADS  Google Scholar 

  9. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Course of Theoretical Physics, Vol. 4: Quantum Electrodynamics (Nauka, Moscow, 1989; Pergamon, Oxford, 1982).

    Google Scholar 

  10. I. V. Lerner and Yu. E. Lozovik, Sov. Phys. JETP 47, 140 (1978).

    ADS  Google Scholar 

  11. E. A. Andryushin and A. P. Silin, Phys. Solid State 35, 164 (1993).

    ADS  Google Scholar 

  12. S. Lebègue, M. Klintenberg, O. Eriksson, and M. I. Katsnelson, Phys. Rev. B 79, 245117 (2009).

    Article  ADS  Google Scholar 

  13. D. C. Elias, R. V. Gorbachev, A. S. Mayorov, S. V. Morozov, A. A. Zhukov, P. Blake, L. A. Ponomarenko, I. V. Grigorieva, K. S. Novoselov, F. Guinea, and A. K. Geim, Nat. Phys. 7, 701 (2011).

    Article  Google Scholar 

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Authors and Affiliations

  1. Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 117942, Russia

    P. V. Ratnikov

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  1. P. V. Ratnikov
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Correspondence to P. V. Ratnikov.

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Original Russian Text © P.V. Ratnikov, 2016, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 103, No. 12, pp. 872–877.

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Ratnikov, P.V. On the dispersion relation of magnetoplasmons in a planar graphene-based superlattice. Jetp Lett. 103, 774–779 (2016). https://doi.org/10.1134/S0021364016120092

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  • DOI: https://doi.org/10.1134/S0021364016120092

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