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Single-electron states in semiconductor nanospherical layer of large radius

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Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

Abstract

In a spherical core/shell/shell nanolayer the single-particle states were considered in the regime of strong quantizations. The relation between the geometrical dimensions of the corresponding components of a sample are chosen in such a way that the differences between the characteristics of materials form a quantum well for the charge carriers in the middle layer. The adequate approximate approaches are suggested to determine analytically the energy spectrum and the wave functions of the single-electron states in the spherical nanolayer. A comparison of the results of the analytical and the numerical calculations is performed. The interval values of the ratio between the layer thickness and its radius at which the results of proposed approximations coincide with the satisfactory accuracy with the results of numerical calculations are determined.

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References

  1. Schooss, D., Mews, A., Eychmüller, A., and Weller, H., Phys. Rev. B, 1994, vol. 49, p. 17072.

    Article  ADS  Google Scholar 

  2. Bryant, G.W., Phys. Rev. B, 1995, vol. 52, p. 16997.

    Article  ADS  Google Scholar 

  3. Braun, M., Burda, C., and El-Sayed, M.A., Phys. Chem. A, 2001, vol. 105, p. 5548.

    Article  Google Scholar 

  4. Perez-Conde, J. and Bhattacharjee, A.K., Phys. Stat. Sol. (a), 2006, vol. 203, p. 1182.

    Article  ADS  Google Scholar 

  5. Chen, I.C., Weng, C.L., and Tsai, Y.C., J. Appl. Phys., 2008, vol. 103, p. 064310.

    Article  ADS  Google Scholar 

  6. Royo, M., Planelles, J., and Pi, M., Phys. Rev. B, 2007, vol. 75, p. 033302.

    Article  ADS  Google Scholar 

  7. Baghdasaryan, D.A., Hayrapetyan, D.B., and Kazaryan, E.M., J. Nanophotonics, 2016, vol. 10, p. 033508.

    Article  Google Scholar 

  8. Jia, G., Optoel. Adv. Mater., 5, 738 (2011).

    Google Scholar 

  9. Kim, D.W., Cho, K., Kim, H., Park, B., Sung, M.Y., and Kim, S., Sol. St. Commun., 2006, vol. 140, p. 215.

    Article  ADS  Google Scholar 

  10. Braun, M., Link, S. Burda, C., and El-Sayed, M., Phys. Rev. B, 2002, vol. 66, p. 205312.

    Article  ADS  Google Scholar 

  11. Cao, L., Huang, S., Lü, S., and Lin, J., J. Col. Interf. Sci., 2005, vol. 284, p. 516.

    Article  Google Scholar 

  12. Jun-Jie, Sh., Chines Phys., 2002, vol. 11, p. 1286.

    Article  ADS  Google Scholar 

  13. Harutyunyan, V.A., Kazaryan, E.M., and Sarkisyan, H.A., J. Contemp. Phys. (Armenian Ac. Sci.), 2011, vol. 46, p. 285.

    Article  ADS  Google Scholar 

  14. Zhong, Q. and Lai, L., J. Semicond., 2013, vol. 34, p. 122002.

    Article  Google Scholar 

  15. Lauhon, L.J., Gudiksen, M.S., Wang, D., and Lieber, C.M., Nature, 2002, vol. 420, p. 57.

    Article  ADS  Google Scholar 

  16. Hayrapetyan, D.B., Kazaryan, E.M., and Tevosyan, H.K., J. Contemp. Phys. (Armenian Ac. Sci.), 2014, vol. 49, p. 119.

    Article  ADS  Google Scholar 

  17. Smith, A., Duan, H., Mohs, A., and Nie, S., Adv. Drug Delivery Rev., 2008, vol. 60, p. 1226.

    Article  Google Scholar 

  18. Metal Nanoparticles in Microbiology, M. Rai, N. Duran, Eds., Heidelberg-Dordrecht-London-New York Springer Science & Business Media, 2011.

  19. Waiskopf, N., Rany, R., Itzhak, Sh., Lior, Y., Hermona, S., and Uri Banin, B., BioNanoScience, 2013, vol. 3, p. 1.

    Article  Google Scholar 

  20. Ogli, S. and Rostani, A., Nano Biotechnology IET, 2013, vol. 7, p. 14.

    Google Scholar 

  21. Haroutyunian, V.A., Thin Solid Films, 2004, vol. 446, p. 258.

    Article  ADS  Google Scholar 

  22. Harutyunyan, V.A., Aramyan, K.S., Petrosyan, H.S., and Demirjian, G.H., Physica E, 2004, vol. 24, p. 173.

    Article  ADS  Google Scholar 

  23. Harutyunyan, V.A., Aramyan, K.S., and Petrosyan, H.S., Semiconductors, 2004, vol. 38, p. 335.

    Article  ADS  Google Scholar 

  24. Harutyunyan, V.A., Phys. Solid State, 2003, vol. 45, p. 1342.

    Article  ADS  Google Scholar 

  25. Landau, L.D. and Lifshits, E.M., Course of Theoretical Physics. Quantum Mechanics, Non-Relativistic Theory, vol. 3, Oxford Pergamon, 1974.

  26. Harutyunyan, V., Effect of Static Electric Fields on the Electronic and Optical Properties of Layered Semiconductor Nanostructures, chapter 1, Bentham Science, 2015.

    Book  Google Scholar 

  27. Kazaryan, E.M., Kostanyan, A.A., and Sarkisyan, H.A., J. Contemp. Phys. (Armenian Ac. Sci.), 2007, vol. 42, p. 145.

    Article  ADS  Google Scholar 

  28. Harutyunyan, V.A., Harutyunyan, S.L., Demirjan, G.H., and Gasparyan, N.H., J. Contemp. Phys. (Armenian Ac. Sci.), 2008, vol. 43, p. 218.

    Article  ADS  Google Scholar 

  29. Samarskiy, A.A., Metody resheniya setochnykh uravnenii (Methods of the Decision of the Grid Equations), Moscow Nauka, 1978.

    Google Scholar 

  30. Zienkiewicz, O.C., Taylor, R.L., Zienkiewicz, O.C., and Taylor, R. L., The Finite Element Method, vol. 3, London McGraw-Hill, 1977.

  31. Craig, P., Phys. Rev. B, 1997, vol. 56, p. 10404.

    Article  Google Scholar 

  32. Heinrich, V., Comp. Phys. Commun., 2006, vol. 174, p. 441.

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Russian–Armenian (Slavonic) University, Yerevan, Armenia

    V. A. Harutyunyan, D. B. Hayrapetyan & D. A. Baghdasaryan

  2. Yerevan State University, Yerevan, Armenia

    D. B. Hayrapetyan

Authors
  1. V. A. Harutyunyan
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  2. D. B. Hayrapetyan
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  3. D. A. Baghdasaryan
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Corresponding author

Correspondence to D. B. Hayrapetyan.

Additional information

Original Russian Text © V.A. Harutyunyan, D.B. Hayrapetyan, D.A. Baghdasaryan, 2016, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Fizika, 2016, Vol. 51, No. 4, pp. 471–483.

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Harutyunyan, V.A., Hayrapetyan, D.B. & Baghdasaryan, D.A. Single-electron states in semiconductor nanospherical layer of large radius. J. Contemp. Phys. 51, 350–359 (2016). https://doi.org/10.3103/S1068337216040071

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  • DOI: https://doi.org/10.3103/S1068337216040071

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