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Application of the Scattering Matrix Method for Calculation of Impurity States in Semiconductor Structures

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Abstract

The scattering matrix method is adapted for calculation of energy levels and charge carrier wavefunctions near impurity-defect centers. The possibility of application of this method for multiband models is exemplified by the Luttinger Hamiltonian with a Coulomb acceptor with the spherical symmetry approach. The obtained values of energy of discrete levels are in good agreement with the results of calculations performed by other methods.

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REFERENCES

  1. S. Morozov, V. Rumyantsev, M. Fadeev, M. Zholudev, K. Kudryavtsev, A. Antonov, A. Kadykov, A. Dubinov, N. Mikhailov, S. Dvoretskii, and V. Gavrilenko, Appl. Phys. Lett. 111, 192101 (2017). https://doi.org/10.1063/1.4996966

    Article  ADS  Google Scholar 

  2. M. S. Zholudev, D. V. Kozlov, N. S. Kulikov, A. A. Razova, V. I. Gavrilenko, and S. V. Morozov, Semiconductors 54, 827 (2020). https://doi.org/10.1134/S1063782620080266

    Article  ADS  Google Scholar 

  3. D. Y. K. Ko and J. C. Inkson, Phys. Rev. B 38, 9945 (1988). https://doi.org/10.1103/PhysRevB.38.9945

    Article  ADS  Google Scholar 

  4. M.S. de Bianchi and M. D. Ventra, Eur. J. Phys. 16, 260 (1995). https://doi.org/10.1088/0143-0807/16/6/003

    Article  Google Scholar 

  5. C. Ramirez and R. Leon, J. Phys. Soc. Jpn. 86, 114002 (2017). https://doi.org/10.7566/JPSJ.86.114002

    Article  ADS  Google Scholar 

  6. C. Ramirez, F. H. Gonzalez, and C. G. Galvan, J. Phys. Soc. Jpn. 88, 094002 (2019). https://doi.org/10.7566/JPSJ.88.094002

    Article  ADS  Google Scholar 

  7. A. Baldereschi and N. O. Lipari, Phys. Rev. B 8, 2697 (1973). https://doi.org/10.1103/PhysRevB.8.2697

    Article  ADS  Google Scholar 

  8. J. M. Luttinger and W. Kohn, Phys. Rev. 97, 869 (1955). https://doi.org/10.1103/PhysRev.97.869

    Article  ADS  Google Scholar 

  9. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (Nauka, Leningrad, 1975; World Scientific, Singapore, 1988).

  10. E. P. Pokatilov, V. A. Fonoberov, V. M. Fomin, and J. T. Devreese, Phys. Rev. B 64, 245328 (2001). https://doi.org/10.1103/PhysRevB.64.245328

    Article  ADS  Google Scholar 

  11. Handbook of Mathematical Functions, Ed. by M. Abramowitz and I. Stegun (Nation. Bureau of Standards, New York, 1964).

  12. M. Barkatou, T. Cluzeau, and C. El Bacha, in Proceedings of the Conference on Mathematical Theory of Networks and Systems (Budapest, Hungary, 2010), p. 1059.

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Funding

This work was supported by the Ministry of Science and Higher Education of Russian Federation, grant project no. 075-15-2020-797 (13.1902.21.0024).

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Correspondence to S. V. Morozov.

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Translated by G. Levina

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Morozov, S.V., Zholudev, M.S. Application of the Scattering Matrix Method for Calculation of Impurity States in Semiconductor Structures. Tech. Phys. Lett. 47, 360–363 (2021). https://doi.org/10.1134/S1063785021040131

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  • DOI: https://doi.org/10.1134/S1063785021040131

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