Abstract
Self-organized spatio-temporal dynamics of electrical transport is described by a simple noncubic activator-inhibitor system derived for layered semiconductor structures. The model exhibits a novel mode of self-sustained oscillations due to current filaments switching on and off (spiking) which may be periodic or chaotic. Additionally, we obtain complex multifilamentary spatio-temporal patterns. As such phenomena have been observed in various devices exhibiting S-shaped negative differential conductivity, our model is suggested to describe a generic mechanism.
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Haken, H.: Synergetics. 3rd edn., Berlin, Heidelberg, New York: Springer 1983
Mikhailov, A.S.: Foundations of synergetics. Vol. 1. Berlin, Heidelberg, New York: Springer 1990
Shaw, M.P., Mitin, V.V., Schöll, E., Grubin, H.L.: The physics of instabilities in solid state electron devices. New York: Plenum Press 1992
Schöll, E.: Nonequilibrium phase transitions in semiconductors. Berlin, Heidelberg, New York: Springer 1987
Kerner, B.S., Osipov, V.V.: Sov. Phys. Usp.32, 101 (1989)
Aoki, K., Yamamoto, K.: Appl. Phys. A48, 111 (1989)
Rau, U., Clauss, W., Kittel, A., Lehr, M., Bayerbach, M., Parisi, J., Peinke, J., Huebener, R.P.: Phys. Rev. B43, 2255 (1991)
Brandl, A., Prettl, W.: Phys. Rev. Lett.66, 3044 (1991)
Symanczyk, R., Gaelings, S., Jäger, D.: Phys. Lett. A160, 397 (1991)
Radehaus, C., Dohmen, R., Willebrand, H., Niedernostheide, F.-J.: Phys. Rev. A42, 7426 (1990)
Niedernostheide, F.-J., Kerner, B.S., Purwins, H.-G.: Phys. Rev. B46, 7559 (1992)
Wacker, A., Schöll, E.: Semicond. Sci. Technol.7, 1456 (1992)
Hess, K., Higman, T.K., Emanuel, M.A., Coleman, J.J.: J. Appl. Phys.60, 3775 (1986)
Belyantsev, A.M., Ignatov, A.A., Piskarev, V.I., Sinitsyn, M.A., Shashkin, V.I., Yavich, B.S., Yakovlev, M.L.: JETP Lett.43, 437 (1986)
Wacker, A., Schöll, E.: Appl. Phys. Lett.59, 1702 (1991)
Elmer, F.J.: Z. Phys. B87, 377 (1992)
Schimansky-Geier, L., Zülicke, Ch., Schöll, E.: Z. Phys. B84, 433 (1991)
Wacker, A.: Nichtlineare Dynamik bei senkrechtem Ladungstransport in einer Halbleiter-Heterostruktur Berlin: Dissertation TU-Berlin: Verlag Köster (in press 1993)
Schuster, H.G.: Deterministic chaos. 2nd Edn. Weinheim: VCH 1988
Schöll, E., Landsberg, P.T.: Z. Phys. B72, 515 (1988)
Radehaus, Ch., Kardell, K., Baumann, H., Jäger, D., Purwins, H.-G.: Z. Phys. B65, 515 (1987)
Spangler, J., Margull, U., Prettl, W.: Phys. Rev. B45, 12137 (1992)
Niedernostheide, F.-J., Arps, M., Dohmen, R., Willebrand, H., Purwins, H.-G.: Phys. Status Solidi (b)172, 249 (1992)
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Wacker, A., Schöll, E. Spiking in an activator-inhibitor model for elements with S-shaped negative differential conductivity. Z. Physik B - Condensed Matter 93, 431–436 (1994). https://doi.org/10.1007/BF01314246
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DOI: https://doi.org/10.1007/BF01314246