Abstract
The nonlinear dynamics of real space transfer for a 2D electron gas in a system of two adjacent Al x Ga1−x As/GaAs-heterolayers under parallel current conduction has been investigated numerically. The mechanisms which have been taken into account are transfer of electrons by thermionic emission and nonresonant tunneling and the delayed dielectric relaxation of the interface potential barrier. We predict bistability of an asymmetric and a symmetric self-generated oscillation mode, a quasiperiodic route to chaos and transient chaos with mean transient times obeying a universal critical scaling law. Unstable periodic orbits of the chaotic repeller can be stabilized by a simple delayed feedback control, thus providing a widely tunable semiconductor oscillator.
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Ridley, B.K.: Rep. Prog. Phys.54, 169 (1991)
Hess, K., Morkoç, H., Shichijo, H., Streatman, B.G.: Appl. Phys. Lett.35, 469 (1979)
Schöll, E., Aoki, K.: Appl. Phys. Lett.58, 1277 (1991)
Tél, T.: In: Directions in Chaos, Vol. 3 Singapore: World Scientific 1990
Pyragas, K.: Phys. Lett. A170, 421 (1992)
Ott, E., Grebogi, C., Yorke, J.A.: Phys. Rev. Lett.64, 1196 (1990)
Grebogi, C., Ott, E., Yorke, J.A.: Physica7D, 181 (1983)
Reznik, D.: Diplom Thesis, Technical University of Berlin 1992
Schöll, E.: Nonequilibrium phase transitions in semiconductors. Springer Series in Synergetics Vol. 35, Berlin, Heidelberg, New York: Springer 1987
Tèl, T.: Controling transient chaos. J. Phys. A24, L1359 (1991)
Gribnikov, Z.S.: Sov. Phys. Semicond.6, 1204 (1973)
Pacha, F., Paschke, F.: Electron. Commun.32 235 (1978)
Shichijo, H., Hess, K., Streetman, B.G.: Solid-State Electron23, 817 (1980)
Sakamoto, R., Akai, K., Inoue, M.: IEEE Trans. Electron Dev.36, 2344 (1989)
Vickers, A.J., Straw, A., Roberts, J.S.: Semicond. Sci. Technol.4, 743 (1989)
Hendriks, P., Zwaal, E.A.E., Dubois, J.G.A., Blom, F.A.P., Wolter, J.H.: J. Appl. Phys.69, 302 (1991)
Schöll, E., Aoki, K.: Proc. 20th Int. Conf. Physics of Semiconductors. Anastassakis, E.H., Joannopoulos, J.D. (eds.), p. 1125 Singapore: World Scientific 1990
Luryi, S., Pinto, M.R.: Phys. Rev. Lett.67, 2351 (1991)
Schöll, E.: Current instabilities in semiconductors: mechanism and self-organized structures. In: Nonlinear dynamics in solid state physics, Thomas, H. (ed.) Berlin, Heidelberg, New York: Springer 1992
Döttling, R., Schöll, E., Reznik, D.: Proceedings of the NATO ASI Chaotic Dynamics: Theory and Practice, Bountis, T. (ed.) New York: Plenum Press 1992
Schöll, E., Reznik, D., Utecht, C.: Proc. 21st Int. Conf. Phys. Semiconductors, Beijing 1992. Xie, X., Huang, K. (eds.) Singapore: World Scientific (to be published)
Kunz, R., Schöll, E.: Z. Phys. B89, 289 (1992)
Schöll, E.: In: Negative differential resistance and instabilities in 2-dimensional Semiconductors. Balkan, N., Ridley, B.K., Vickers, A.J. (ed.) New York: Plenum Press 1993
Klein, M., Baier, G.: In: A chaotic hierarchy. Baier, G., Klein, M. (eds.) Singapore: World Scientific (to be published)
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Reznik, D., Schöll, E. Oscillation modes, transient chaos and its control in a modulation-doped semiconductor double-heterostructure. Z. Physik B - Condensed Matter 91, 309–316 (1993). https://doi.org/10.1007/BF01344059
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DOI: https://doi.org/10.1007/BF01344059