Abstract
The resonant tunneling of electrons through a double barrier is analyzed from a dynamical point of view. When a self consistent potential, representing the effect of the electrostatic feedback induced by the charge trapped in the well, is taken into account, the non linearity of the transmission process can lead to oscillations of the transmitted fluxes. This behavior is shown to depend sensitively on the energy spread of the incident electron distribution and on the intensity of the electrostatic feedback.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. L. Chang, L. Esaki and R. Tsu, Resonant tunneling in semiconductor double barriers, Appl. Phys. Lett. 24, 593 (1974).
For a review on resonant tunneling through double barriers, the reader is referred to Physics of Quantum Electron Devices, F. Capasso, ed., Spinger-Verlag, New York, Heidelberg (1990).
B. Ricco and M. Ya. Azbel, Physics of resonant tunneling. The one dimensional double-barrier case, Phys. Rev. B 29, 1970 (1984).
E. H. Hauge, J. P. Falck and T. A. Fjeldly, Transmission and reflection times for scattering of wave packets off tunneling barriers, Phys. Rev. B 36, 4203 (1987).
N. S. Wingreen, K. W. Jacobsen and J. W. Wilkins, Resonant tunneling with electron-phonon interaction: an exactly solvable model, Phys. Rev. Lett. 61, 1396 (1988); W. Cai, T. F. Zheng, P. Hu, B. Yudanin and M. Lax, Model of phonon-associated electron tunneling through a semiconductor double barrier, Phys. Rev. Lett. 63, 418 (1989); A. D. Stone and P. A. Lee, Effect of inelastic processes on resonant tunneling in one dimension, Phys. Rev. Lett. 54, 1196 (1985).
M. Tsuchiya, T. Matsusue and H. Sakaki, Tunneling escape rate of electrons from quantum well in double barrier heterostructures, Phys. Rev. Lett. 59, 2356 (1987); J. F. Young, B. M. Wood, G. C. Aers, R. L. S. Devine, H. C. Liu, D. Landheer, M. Buchanan, A. S. Springthorpe and P. Mandeville, Determination of charge accumulation and its characteristic time in double barrier resonant tunneling structures using steady-state photoluminescence, Phys. Rev. Lett. 60, 2085 (1988); V. S. Goldman, D. C. Tsui and J. E. Cunningham, Res-onant tunneling in magnetic fields: evidence for space-charge buildup, Phys. Rev. B 35, 9387 (1987).
V. J. Goldman, D. C. Tsui and J. E. Cunningham, Observation of intrinsic bistability in resonant tunneling structures, Phys. Rev. Lett. 58, 1256 (1987); A. Zaslaysky, V. J. Goldman, D. C. Tsui and J. E. Cunningham, Resonant tunneling and intrinsic bistability in asymmetric double barrier heterostructures, Appl. Phys. Lett. 53, 1408 (1988).
C. Presilla, G. Jona-Lasinio and F. Capasso, Nonlinear feedback oscillations in resonant tunneling through double barriers, Perugia University preprint, DFUPG 30–90.
H. Spohn, Kinetic equations from Hamiltonian dynamics: Markovian limits, Rev. Mod. Phys. 53, 569 (1980).
A. Goldberg, H. M. Schey and J. L. Schwartz, Computer-generated motion pictures of one-dimensional quantum mechanics transmission and reflection phenomena, Am. J. Phys. 35, 177 (1967).
W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling, Numerical Recipes: the Art of Scientific Computing (Cambridge University Press, Cambridge 1986).
S. Collins, D. Lowe and J. R. Barker, A dynamic analysis of resonant tunneling, J. Phys. C 20, 6233 (1987).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media New York
About this chapter
Cite this chapter
Presillaa, C., Jona-Lasinio, G., Capasso, F. (1991). Dynamical Analysis of Resonant Tunneling in Presence of a Self Consistent Potential Due to the Space Charge. 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_26
Download citation
DOI: https://doi.org/10.1007/978-1-4615-3846-2_26
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6716-1
Online ISBN: 978-1-4615-3846-2
eBook Packages: Springer Book Archive