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Spectrum of the graphene-based planar quantum dot

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Abstract

The dependence of energy levels of the planar narrow-gap semiconductor quantum dot on its radius, energy gap, and potential barrier height was calculated in the two-band approximation. Based on the results obtained, the energy spectrum of the graphene-based planar quantum dot was studied in detail.

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References

  1. K. S. Novoselov, A. K. Geim, S. V. Morozov, et al., Science 306, 666 (2004).

    Article  ADS  Google Scholar 

  2. A. H. Castro Neto, F. Guiena, N. M. R. Peres, et al., arXiv:0709.1163 (2007).

  3. X. Wang, Y. Ouyang, X. Li, et al., Phys. Rev. Lett. 100, 206803 (2008).

  4. L. A. Ponomarenko, F. Schedin, M. I. Katsnelson, et al., Science 320, 356 (2008).

    Article  ADS  Google Scholar 

  5. Y. H. Lu, P.M. He, and Y. P. Feng, arXiv:0712.4008.

  6. P. V. Ratnikov and A. P. Silin, Kratkie Soobshcheniya po Fizike FIAN 36(2), 11 (2009) [Bulletin of the Lebedev Physics Institute 36, 34 (2009)].

    Google Scholar 

  7. L. Brey and H. A. Fertig, Phys. Rev. B 73, 235411 (2006).

    Article  ADS  Google Scholar 

  8. L. Brey and H. A. Fertig, Phys. Rev. B 75, 125434 (2007).

    Article  ADS  Google Scholar 

  9. V. A. Volkov, V. G. Idlis, and M. S. Usmanov, Usp. Fiz. Nauk 165, 799 (1995).

    Article  Google Scholar 

  10. A. P. Silin and S. V. Shubenkov, Fiz. Tverdogo Tela 40, 1345 (1998) [Phys. Solid State 40, 1223 (1998)].

    Google Scholar 

  11. M. V. Berry and R. J. Mondragon, Proc. R. Soc. London A 412, 53 (1987).

    Article  ADS  MathSciNet  Google Scholar 

  12. P. Recher, J. Nilsson, G. Burkard, and B. Trauzettel, arXiv:0810.0419v1.

  13. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics (Pergamon, Oxford, 1982; Nauka, Moscow, 1989).

    Google Scholar 

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Original Russian Text © N.M. Vildanov, A.P. Silin, 2009, published in Kratkie Soobshcheniya po Fizike, 2009, Vol. 36, No. 7, pp. 30–35.

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Vildanov, N.M., Silin, A.P. Spectrum of the graphene-based planar quantum dot. Bull. Lebedev Phys. Inst. 36, 205–208 (2009). https://doi.org/10.3103/S1068335609070045

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  • DOI: https://doi.org/10.3103/S1068335609070045

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