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Application restrictions for two-level models of the resonance interaction of electrons with an alternating electric field in two-barrier structures

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Abstract

We analyze the applicability of different variants of the two-level approximation in the problem of electron transitions in a two-barrier structure with current pumping in a resonant electric field of finite amplitude. We show that the solution obtained by a direct iteration of the perturbation method of the first order in the field amplitude can be essentially continued outside the convergency domain of the iteration procedure. On the other hand, the two-level approximation becomes invalid at field amplitudes much smaller than commonly assumed ones because of the influence of side satellites, the nonresonant components of the wave function.

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References

  1. E. I. Golant, A. B. Pashkovskii, and A. S. Tager,Pis'ma Zh. Tekhn Fiz.,20(21), 74 (1994).

    Google Scholar 

  2. E. I. Golant and A. B. Pashkovskii,JETP,85, 130 (1997).

    Article  ADS  Google Scholar 

  3. M. Kira,Phys. Rev. B,53, 15789 (1996).

    Article  ADS  Google Scholar 

  4. V. F. Elesin,JETP,85, No. 8, 264 (1997).

    Article  ADS  Google Scholar 

  5. E. I. Golant and A. B. Pashkovskii,JETP Lett.,63, No. 7, 590 (1996).

    Article  ADS  Google Scholar 

  6. I. V. Belyaeva, E. I. Golant, and A. B. Pashkovskii,Fiz. Tekhn Poluprovodnikov,31, No. 2, 137 (1997).

    Google Scholar 

  7. V. M. Galitski, B. M. Karnakov, and V. I. Kogan,Problems in Quantum Mechanics [in Russian], Nauka, Moscow (1981); French transl.,Problemes de mecanique quantique, Mir, Moscow (1985).

    Google Scholar 

  8. N. N. Kalitkin,Numerical Methods [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  9. A. B. Pashkovskii,JETP,82, 959 (1996).

    ADS  Google Scholar 

  10. V. V. V'yurkov and V. I. Ryzhii,JETP,51, 583 (1980).

    Google Scholar 

  11. V. B. Berestetski, E. M. Lifchitz, and L. P. Pitaevski,Quantum Electrodynamics [in Russian], Nauka, Moscow (1980); French transl.,Élektrodynamique quantique, Mir, Moscow (1989).

    Google Scholar 

  12. L. D. Landau and E. M. Lifshitz,Course of Theoretical Physics [in Russian], (4th ed.), Vol. 3,Quantum Mechanics: Nonrelativistic Theory, Nauka, Moscow (1989); English transl. prev. ed., Oxford Univ. Press, Oxford (1975).

    Google Scholar 

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Authors and Affiliations

  1. State Research-Production Enterprise “Istok,”, Fryazino, Moscow Oblast, Russia

    E. I. Golant & A. B. Pashkovskii

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  1. E. I. Golant
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  2. A. B. Pashkovskii
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 120, No. 2, pp. 332–341, August, 1999.

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Golant, E.I., Pashkovskii, A.B. Application restrictions for two-level models of the resonance interaction of electrons with an alternating electric field in two-barrier structures. Theor Math Phys 120, 1094–1101 (1999). https://doi.org/10.1007/BF02557416

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  • DOI: https://doi.org/10.1007/BF02557416

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