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Transport in Superlattices: Observation of Negative Differential Conductance by Field Induced Localization and Its Equivalence with the Esaki-Tsu Mechanism; Scattering Controlled Resonances in Superlattices

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Resonant Tunneling in Semiconductors

Part of the book series: NATO ASI Series ((NSSB,volume 277))

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Abstract

In this paper we show that two mechanisms of negative differential conductivity (Bragg diffraction and field induced localization) in superlattices (SLs), previously viewed as different, are actually physically equivalent. An experiment is designed to observe the above negative differential conductance (NDC). To suppress competing NDC mechanisms (e.g. Gunn effect) the SL is placed in the collector of a bipolar transistor and the collector current is measured as a function of base collector voltage at constant emitter current. A broad region of NDC is observed above the critical threshold field, corresponding to progressive wavefunction localization. At higher fields features are observed in the collector current superimposed on a rising Fowler-Nordheim background. Calculations demonstrated that they correspond to SL transmission resonances originating from states supported by subsets of the SL of thickness equal to the electron coherence length.

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References

  1. L. Esaki and R. Tsu, Superlattice and negative differential conductivity in semiconductors, IBM J. Res. Develop. 14:61 (1970). Later, with a different theoretical approach, the same phenomenon was studied by M. Büttiker and H. Thomas, Current instability and domain propagation due to Bragg scattering, Phys. Rev. Lett. 38:78 (1977).

    Google Scholar 

  2. F. Capasso and S. Datta, Quantum electron devices, Physics Today 43:74 (1990). For NDC effects observed in surface SLs, see D.K. Ferry in “Physics of Quantum-Electron Devices,” edited by F. Capasso (Springer, New York, 1990), Chapter 4.

    Google Scholar 

  3. P. A. Lebwohl and R. Tsu, Electrical transport properties in a superlattice, J. Appl. Phys. 41:2664 (1970).

    Article  ADS  Google Scholar 

  4. R. Tsu and G. Döhler, Hopping conduction in a superlattice, Phys. Rev. B12:680 (1975).

    ADS  Google Scholar 

  5. G. Döhler, R. Tsu, and L. Esaki, A new mechanism for negative differential conductivity in superlattices, Solid State Commun. 17:317 (1975).

    Article  Google Scholar 

  6. F. Capasso, K. Mohammed, and A. Y. Cho, Resonant tunneling through double barriers, perpendicular quantum transport phenomena in superlattices, and their device applications, IEEE J. Quantum Electron QE-22:1853 (1986).

    Article  ADS  Google Scholar 

  7. A. Sibille, J. F. Palmier, H. Wang, and F. Mollot, Observation of Esaki-Tsu negative differential velocity in GaAs/AlAs superlattices, Phys. Rev. Lett. 64:52 (1990).

    Article  ADS  Google Scholar 

  8. G. Wannier, Wavefunctions and effective Hamiltonian for Bloch electrons in an electric field, Phys. Rev. 117:432 (1960).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. R. F. Kazarinov and R. A. Suris, Possibility of amplification of electromagnetic waves in a semiconductor with a superlattice, Fiz. Tekh. Poluprov. 5:797 (1971) [Sov. Phys. Semicond. 5:707 (1971)]; R. F. Kazarinov, and R. A. Suris, Electric and electromagnetic properties of semiconductors with a superlattice, Fiz. Tekh. Poluprov. 6:148 (1972) [Sov. Phys. Semicond. 6:120 (1972)].

    Google Scholar 

  10. E. E. Mendez, F. Agullo-Rueda, and J. M. Hong, Stark localization in GaAs/A1GaAs superlattices under an electric field, Phys. Rev. Lett. 60:2426 (1988).

    Article  ADS  Google Scholar 

  11. F. Agullo-Rueda, E. E. Mendez, and J. M. Hong, Quantum coherence in semiconductor superlattices, Phys. Rev. B40:1357 (1989).

    ADS  Google Scholar 

  12. P. Voisin, J. Bleuse, C. Bouche, S. Gaillard, C. Alibert, and A. Regreny, Observation of the Wannier-Stark quantization in a semiconductor superlattice, Phys. Rev. Lett. 61:1639 (1988).

    Article  ADS  Google Scholar 

  13. V. A. Yakovlev, On the theory governing the conductivity of electrons in the narrow bands of semiconductors in a strong electric field, Fiz. Tverd. Tela 3:1983 (1962) [Soy. Phys. Solid State 3:1442 (1962)].

    Google Scholar 

  14. D. Calecki, J. F. Palmier and A. Chomette, Hopping conduction in multiquantum well structures, J. Phys. C17:5017 (1984).

    ADS  Google Scholar 

  15. See, for example, P. Roblin and M. W. Muller, Time-dependent tunneling and the injection of coherent Zener oscillations, Semiconductor Science and Technology 1:218 (1988).

    Article  ADS  Google Scholar 

  16. B. Vinter, Private communication at this workshop.

    Google Scholar 

  17. Previously negative differential photoconductance in 2-terminal SL structures was tentatively attributed to field-induced localization in the sense of Tsu and Döhler (Ref. 4). R. Tsu, L. L. Chang, A. Sai-Halasz, and L. Esaki, Effects of quantum states on the photocurrent in a superlattice, Phys. Rev. Lett. 34:1509 (1975); F. Capasso, K. Mohammed, and A. Y. Cho, Quantum photoconductive gain by effective mass filtering and negative conductance in superlattice p-n junctions, Physica B&C 134B:487 (1985); H. Schneider, K. von Klitzing, and K. Ploog, Resonant tunneling and miniband conduction in GaAs/AlAs superlattices studied by electrical time-of-flight techniques, Europhys. Lett. 8:575 (1989).

    Google Scholar 

  18. L. Esaki and L. L. Chang, New transport phenomenon in a semiconductor superlattice, Phys. Rev. Lett. 33:495 (1974).

    Article  ADS  Google Scholar 

  19. K. K. Choi, B. F. Levine, R. J. Malik, J. Walker, and C. G. Bethea, Periodic negative conductance by sequential resonant tunneling through an expanding high field-superlattice domain, Phys. Rev. B35:4172 (1987).

    ADS  Google Scholar 

  20. D. F. Nelson, R. C. Miller, and D. A. Kleinman, Band nonparabolicity effects in semiconductor quantum wells, Phys. Rev. B35:7770 (1987).

    ADS  Google Scholar 

  21. F. Capasso, K. Mohammed, A. Y. Cho, R. Hull, and A. L. Hutchinson, New quantum photoconductivity and large photocurrent gain by effective-mass filtering in a forward-biased superlattice p-n junction, Phys. Rev. Lett. 55:1152 (1985).

    Article  ADS  Google Scholar 

  22. The field in the SL is F=(V+Vbi)/L, where L is the width of the intrinsic collector region and the built-in potential Vbi ≈ 0.92 V.

    Google Scholar 

  23. D. C. Herbert, Structured-base hot electron transistors: I. scattering rates, Semicond. Sci. Technol. 3:101 (1988).

    Article  ADS  Google Scholar 

  24. The reverse-bias leakage current of the collector junction is negligible in the bias and temperature range of our experiments.

    Google Scholar 

  25. Experimental measurements on γ give results in a rather broad range, γ= 1.3x10-18 m2 was reported by L. Eaves, F. W. Sheard, G. A. Toombs, in “Physics of Quantum-Electron Devices,” edited by F. Capasso (Springer, New York, 1990); a value four times higher was found by C. K. Sarkar, R. J. Nicholas, J. C. Portal, M. Razeghi, J. Chevrier, and J. Massies, J. Phys. C 18:2667 (1985). The value indicated was chosen to optimize the fit.

    Google Scholar 

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Capasso, F., Beltram, F., Sivco, D.L., Hutchinson, A.L., Chu, SN.G., Cho, A.Y. (1991). Transport in Superlattices: Observation of Negative Differential Conductance by Field Induced Localization and Its Equivalence with the Esaki-Tsu Mechanism; Scattering Controlled Resonances in Superlattices. In: Chang, L.L., Mendez, E.E., Tejedor, C. (eds) Resonant Tunneling in Semiconductors. NATO ASI Series, vol 277. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3846-2_35

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  • DOI: https://doi.org/10.1007/978-1-4615-3846-2_35

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6716-1

  • Online ISBN: 978-1-4615-3846-2

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