Pattern formation in semiconductors: control of spatio-temporal dynamics
Version of Record online: 14 JUN 2004
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Annalen der Physik
Volume 13, Issue 7-8, pages 403–413, July 2004
How to Cite
Schöll, E. (2004), Pattern formation in semiconductors: control of spatio-temporal dynamics. Ann. Phys., 13: 403–413. doi: 10.1002/andp.200410083
- Issue online: 14 JUN 2004
- Version of Record online: 14 JUN 2004
- Manuscript Accepted: 5 APR 2004
- Manuscript Received: 21 JAN 2004
- Pattern formation;
- chaos control;
- delayed feedback;
- semiconductor nanostructures.
Semiconductors driven far from thermodynamic equilibrium by an applied dc voltage exhibit a variety of spatio-temporal electronic instabilities including complex and chaotic scenarios. We study stabilization of chaotic spatio-temporal patterns in spatially extended semiconductor models by time delayed feedback control. Different control schemes, e.g., a diagonal control matrix, or global control, or combinations of both, are compared. Specifically, we use two models of semiconductor nanostructures which are of particular current interest: (i) superlattice, (ii) double-barrier resonant-tunneling diode.