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Resonant electron tunneling in GaN/Ga1−x AlxN(0001) strained structures with spontaneous polarization and piezoeffect

  • Low-Dimensional Systems and Surface Physics
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Abstract

Electron tunneling through the GaN/Ga1−x AlxN(0001) wurtzite strained structures is investigated by the pseudopotential and scattering matrix methods. It is shown that the results of multiband calculations at low aluminum concentrations (x<0.3) are adequately described within the single-valley model in the envelope wave function method accounting for the dependences of the effective mass on the energy and strain. Upon electron tunneling through two-barrier structures, sharp resonance peaks are observed at a barrier thickness of several monolayers and the characteristic collision time in the resonance region is equal to ∼1 ps. The internal electric fields associated with spontaneous and piezoelectric polarizations lead to a “red” or “blue” shift in the resonance energy according to the thickness and location of barriers with respect to the polar axis. In the (GaN)n(Ga1−x AlxN)m superlattices, the internal fields can form the Stark ladder of electronic states at a small number of ultrathin layers even in the absence of external fields.

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References

  1. S. Nakamura, M. Senoh, S. Nagahama, et al., Jpn. J. Appl. Phys., Part 2 35(1B), L74 (1996).

    Google Scholar 

  2. D. Korakakis, K. F. Ludwig, and T. D. Moustakas, Appl. Phys. Lett. 72(9), 1004 (1998).

    Article  ADS  Google Scholar 

  3. Y.-F. Wu, B. P. Keller, D. Kapolnek, et al., Appl. Phys. Lett. 69, 1438 (1996).

    ADS  Google Scholar 

  4. R. Gaska, A. D. Bykhovski, M. S. Shur, et al., J. Appl. Phys. 85(9), 6932 (1999).

    Article  ADS  Google Scholar 

  5. F. Bernardini, V. Fiorentini, and D. Vanderbilt, Phys. Rev. B 56(16), R10024 (1997).

  6. K. Shimada, T. Sota, and K. Suzuki, J. Appl. Phys. 84(9), 4951 (1998).

    Article  ADS  Google Scholar 

  7. R. Oberhuber, G. Zandler, and P. Vogl, Appl. Phys. Lett. 73(6), 818 (1998).

    Article  ADS  Google Scholar 

  8. L. Hsu and W. Walukiewicz, Appl. Phys. Lett. 73(3), 339 (1998).

    Article  ADS  Google Scholar 

  9. S.-H. Park and S.-L. Chuang, Appl. Phys. Lett. 72(24), 3103 (1998).

    Article  ADS  Google Scholar 

  10. N. Grandjean, B. Damilano, S. Dalmasso, et al., J. Appl. Phys. 86(7), 3714 (1999).

    Article  ADS  Google Scholar 

  11. J. S. Im, H. Kollmer, J. Off, et al., Phys. Rev. B 57(16), R9435 (1998).

  12. M. B. Nardelli, K. Rapcewicz, and J. Bernholc, Phys. Rev. B 55(12), R7323 (1997).

  13. F. Bernardini and V. Fiorentini, Phys. Rev. B 57(16), R9427 (1998).

  14. M. Leroux, N. Grandjean, M. Laugt, et al., Phys. Rev. B 58(20), R13371 (1998); J. Simon, R. Lauger, A. Barski, and N. T. Pelekanos, Phys. Rev. B 61 (11), 7211 (2000).

  15. V. Fiorentini, F. Bernardini, F. D. Sala, et al., Phys. Rev. B 60(12), 8849 (1999).

    Article  ADS  Google Scholar 

  16. E. E. Méndez, F. Agullo-Rueda, and J. M. Hong, Phys. Rev. Lett. 60(23), 2426 (1988).

    ADS  Google Scholar 

  17. G. F. Karavaev and A. A. Voronkov, Fiz. Tekh. Poluprovodn. (St. Petersburg) 32(11), 1363 (1998) [Semiconductors 32, 1214 (1998)].

    Google Scholar 

  18. Properties of Group III Nitrides, Ed. by J. H. Edgar (Kansas State Univ., 1994), emis DATAREVIEWS SERIES No. 11.

  19. A. Rubio, J. L. Corkill, and M. L. Cohen, Phys. Rev. B 49(3), 1952 (1994).

    Article  ADS  Google Scholar 

  20. S. N. Grinyaev, V. Ya. Malakhov, and V. A. Chaldyshev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 69 (1986).

  21. Y.-C. Chang and J. N. Schulman, Phys. Rev. B 25(6), 3975 (1982).

    ADS  Google Scholar 

  22. Yu. I. Sirotin and M. P. Shaskolskaya, Fundamentals of Crystal Physics (Nauka, Moscow, 1979; Mir, Moscow, 1982).

    Google Scholar 

  23. A. A. Wright, J. Appl. Phys. 82, 2833 (1997).

    ADS  Google Scholar 

  24. A. Bykhovski, B. Gelmont, and M. S. Shur, J. Appl. Phys. 74, 6734 (1993).

    Article  ADS  Google Scholar 

  25. J. W. Orton and C. T. Foxon, Rep. Prog. Phys. 61, 1 (1998).

    Article  ADS  Google Scholar 

  26. T. Deguchi, A. Shikanai, K. Torii, et al., Appl. Phys. Lett. 72, 3329 (1998).

    Article  ADS  Google Scholar 

  27. S. N. Grinyaev and V. N. Chernyshov, Fiz. Tekh. Poluprovodn. (St. Petersburg) 26(12), 2057 (1992) [Sov. Phys. Semicond. 26, 1157 (1992)].

    Google Scholar 

  28. A. Shikanai, T. Azuhata, T. Sota, et al., J. Appl. Phys. 81, 417 (1997).

    Article  ADS  Google Scholar 

  29. P. Perlin, I. Gorczyca, S. Porowski, et al., Jpn. J. Appl. Phys. 32, 334 (1993).

    Google Scholar 

  30. W. J. Moore, J. A. Freitas, and R. L. Molnar, Phys. Rev. B 56(19), 12073 (1997).

    Google Scholar 

  31. H. Wang, G. A. Farias, and V. N. Freire, Phys. Rev. B 60(8), 5705 (1999).

    ADS  Google Scholar 

  32. P. B. Perry and R. F. Rutz, Appl. Phys. Lett. 33, 319 (1978).

    Article  ADS  Google Scholar 

  33. É. I. Rashba, Fiz. Tverd. Tela (Leningrad) 1(3), 407 (1959) [Sov. Phys. Semicond. 1, 368 (1959)].

    Google Scholar 

  34. S. W. King, C. Ronning, R. F. Davis, et al., J. Appl. Phys. 84(4), 2086 (1998).

    Article  ADS  Google Scholar 

  35. D. Y. Ko, G. Edwards, and J. C. Inkson, Semicond. Sci. Technol. 5, 200 (1990).

    Article  ADS  Google Scholar 

  36. J. Zak, Phys. Rev. Lett. 20, 1477 (1968).

    Article  ADS  Google Scholar 

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Translated from Fizika Tverdogo Tela, Vol. 43, No. 3, 2001, pp. 529–535.

Original Russian Text Copyright © 2001 by Grinyaev, Razzhuvalov.

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Grinyaev, S.N., Razzhuvalov, A.N. Resonant electron tunneling in GaN/Ga1−x AlxN(0001) strained structures with spontaneous polarization and piezoeffect. Phys. Solid State 43, 549–555 (2001). https://doi.org/10.1134/1.1356136

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