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On the theory of electronic states of the “epitaxial graphene-quantum-well film” system

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Abstract

The problem of an epitaxial graphene formed on a thin metal film in an external magnetic field has been considered. It has been shown that the problem can be solved using the Green’s function method within the Kadanoff-Baym formalism. Analytical expressions for the transferred charge as a function of the magnetic field and the thickness of the film have been obtained.

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References

  1. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Gaim, Rev. Mod. Phys. 81, 109 (2008).

    Article  Google Scholar 

  2. Yu. E. Lozovik, S. P. Merkulova, and A. A. Sokolik, Phys.—Usp. 51(7), 727 (2008).

    ADS  Google Scholar 

  3. M. Hongki, R. Bistritzer, Jung-Jung Su, and A. H. MacDonald, arXiv:0802.3462v2 (2008).

  4. M. I. Katsnelson, K. S. Novoselov, and A. K. Geim, Nat. Phys. 2, 620 (2006).

    Article  Google Scholar 

  5. C. W. J. Beenakker, arXiv:0710.3848.

  6. G. Giovannetti, P. A. Khomyakov, G. Brocks, V. M. Karpan, J. Van den Brink, and P. J. Kelly, Phys. Rev. Lett. 101, 026803 (2008).

    Article  ADS  Google Scholar 

  7. P. A. Khomyakov, G. Giovannetti, P. C. Rusu, J. Van den Brink, and P. J. Kelly, Phys. Rev. B: Condens. Matter. 79, 195425 (2009).

    Article  ADS  Google Scholar 

  8. P. A. Khomyakov, A. A. Starikov, G. Brocks, and P. J. Kelly, arXiv:0911.2027.

  9. M. Vanin, J. J. Martensen, A. K. Kelkkanen, J. M. Garcia-Lastra, K. S. Thygessen, and K. W. Jacobsen, arXiv:0912.3078.

  10. S. Yu. Davydov, Tech. Phys. Lett. 37(5), 476 (2011).

    Article  ADS  Google Scholar 

  11. S. Yu. Davydov, Semiconductors 45(5), 618 (2011).

    Article  ADS  Google Scholar 

  12. S. Yu. Davydov, Semiconductors 45(8), 1070 (2011).

    Article  ADS  Google Scholar 

  13. P. W. Anderson, Phys. Rev. 124, 41 (1961).

    Article  MathSciNet  ADS  Google Scholar 

  14. D. M. Newns, Phys. Rev. 178, 1123 (1969).

    Article  ADS  Google Scholar 

  15. F. D. M. Haldane and P. W. Anderson, Phys. Rev. B: Solid State 13, 2553 (1976).

    Article  ADS  Google Scholar 

  16. R. P. Meilanov, B. A. Abramova, M. M. Gadzhialiev, and V. V. Dzhabrailov, Phys. Solid State 44(11), 2196 (2002).

    Article  ADS  Google Scholar 

  17. R. P. Meilanov, B. A. Abramova, G. M. Musaev, and M. M. Gadzhialiev, Phys. Solid State 46(6), 1107 (2004).

    Article  ADS  Google Scholar 

  18. R. P. Meilanov and B. A. Abramova, Phys. Solid State 50(1), 130 (2008).

    Article  ADS  Google Scholar 

  19. Yu. E. Lozovik and S. Yu. Volkov, Phys. Solid State 45(2), 364 (2003).

    Article  ADS  Google Scholar 

  20. R. Z. Vitlina and A. V. Chaplik, JETP Lett. 78(10), 651 (2003).

    Article  ADS  Google Scholar 

  21. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962; Mir, Moscow, 1964).

    MATH  Google Scholar 

  22. A. S. Kondrat’ev and A. E. Kuchma, Electron Liquid of Normal Metals (Leningrad State University, Leningrad, 1980) [in Russian].

    Google Scholar 

  23. L. Kong, C. Bjekevig, S. Gaddam, M. Zhou, Y. H. Lee, G. H. Han, H. K. Jeong, N. Wu, Z. Zhang, J. Xian, P. A. Dowben, and A. Kelber, J. Phys. Chem. C (in press).

  24. Ch. Sikorski and U. Merkt, Phys. Rev. Lett. 62, 2164 (1989).

    Article  ADS  Google Scholar 

  25. A. V. Chaplik, JETP Lett. 50(1), 44 (1989).

    ADS  Google Scholar 

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Authors and Affiliations

  1. Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    Z. Z. Alisultanov

  2. Institute of Geothermy Problems, Dagestan Scientific Center of the Russian Academy of Sciences, pr. Shamilya 39a, Makhachkala, 367030, Dagestan, Russia

    R. P. Meilanov

Authors
  1. Z. Z. Alisultanov
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  2. R. P. Meilanov
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Correspondence to Z. Z. Alisultanov.

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Original Russian Text © Z.Z. Alisultanov, R.P. Meilanov, 2012, published in Fizika Tverdogo Tela, 2012, Vol. 54, No. 7, pp. 1398–1404.

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Alisultanov, Z.Z., Meilanov, R.P. On the theory of electronic states of the “epitaxial graphene-quantum-well film” system. Phys. Solid State 54, 1486–1493 (2012). https://doi.org/10.1134/S1063783412070037

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  • DOI: https://doi.org/10.1134/S1063783412070037

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