Skip to main content
SpringerLink
Log in

Analytical Description of Cyclotron Plasma Resonances in Monolayer Graphene

  • OSCILLATIONS AND WAVES IN PLASMA
  • Published:
Plasma Physics Reports Aims and scope Submit manuscript

Abstract

The propagation of longitudinal harmonic plasma oscillations in monolayer graphene under an external magnetic field is analyzed analytically on the basis of the Boltzmann kinetic equation. Simple analytical formulas are presented for the positions of cyclotron resonances in the spectrum of magneto-plasma oscillations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.

REFERENCES

  1. B. Hu, in Plasmonics, Ed. by T. Gric (IntechOpen, New York, 2018), p. 213.

    Google Scholar 

  2. B. Hu, J. Tao, Y. Zhang, and Q. Wang, Opt. Express 22, 21727 (2014).

    Article  ADS  Google Scholar 

  3. M. B. Heydari and M. H. V. Samiei, arXiv:2103.08557, 2021.

  4. J. R. Wallbank, Electronic Properties of Graphene Heterostructures with Hexagonal Crystals (Springer, Berlin, 2014).

    Book  Google Scholar 

  5. J. Guo, X. Dai, Y. Xiang, and D. Tang, J. Appl. Phys. 125, 013102 (2019).

  6. K. Kapralov and D. Svintsov, arXiv:2203.04479v2, 2022.

  7. D. A. Bandurin, E. Mönch, K. Kapralov, I. Y. Phinney, K. Lindner, S. Liu, J. H. Edgar, I. A. Dmitriev, P. Jarillo-Herrero, D. Svintsov, and S. D. Ganichev, Nat. Phys. 18, 462 (2022). https://doi.org/10.1038/s41567-021-01494-8

    Article  Google Scholar 

  8. L. Cui, J. Wang, and M. Sun, Rev. Phys. 6, 100054 (2021).

  9. M. O. Goerbig, Rev. Mod. Phys. 83, 1193 (2011).

    Article  ADS  Google Scholar 

  10. A. H. Castro Neto, H. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009).

    Article  ADS  Google Scholar 

  11. L. S. Levitov, A. V. Shtyk, and M. V. Feigelman, a-rXiv:1302.5036v2, 2013.

  12. N. Emani, A. V. Kildishev, V. M. Shalaev, and A. Boltasseva, Nanophotonics 4, 214 (2015). https://doi.org/10.1515/nanoph-2015-0014

    Article  Google Scholar 

  13. V. A. Volkov and A. A. Zabolotnykh, Phys. Rev. B: Condens. Matter Mater. Phys. 89, 121410(R) (2014).

  14. S. N. Burmistrov, Collection of Problems on Physical Kinetics (Intellekt, Dolgoprudnyi, 2014), Problem No. 28 [in Russian].

  15. A. V. Chaplik and D. Heitmann, J. Phys. C: Solid State Phys. 18, 3357 (1985).

    Article  ADS  Google Scholar 

  16. N. J. M. Horing and M. M. Yildiz, Phys. Lett. A 44, 386 (1973).

    Article  ADS  Google Scholar 

  17. N. J. M. Horing and M. M. Yildiz, Ann. Phys. 97, 216 (1976).

    Article  ADS  Google Scholar 

  18. T. Ando, A. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).

    Article  ADS  Google Scholar 

Download references

Funding

The work was supported by the Russian Foundation for Basic Research (project no. 20-52-05012), the Armenian Science Committee (project nos. 20RF-171 and 21AG-1C064), and the Ministry of Science and Higher Education of the Russian Federation (project no. FSMG-2021-0005).

Author information

Authors and Affiliations

  1. Russian–Armenian University, 0051, Yerevan, Armenia

    A. M. Ishkhanyan

  2. Institute for Physical Research, National Academy of Sciences of Armenia, 0204, Ashtarak, Armenia

    A. M. Ishkhanyan

  3. Moscow Institute of Physics and Technology (National Research University), 141701, Dolgoprudnyi, Moscow oblast, Russia

    V. P. Krainov

Authors
  1. A. M. Ishkhanyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. P. Krainov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. P. Krainov.

Ethics declarations

The authors declare that they have no conflicts of interest.

Additional information

Translated by L. Mosina

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ishkhanyan, A.M., Krainov, V.P. Analytical Description of Cyclotron Plasma Resonances in Monolayer Graphene. Plasma Phys. Rep. 49, 437–442 (2023). https://doi.org/10.1134/S1063780X22601997

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063780X22601997

Keywords:

Search

Navigation