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Pattern formation in semiconductors: control of spatio‐temporal dynamics
Author(s) -
Schöll E.
Publication year - 2004
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.200410083
Subject(s) - pattern formation , photorefractive effect , nonlinear system , transverse plane , physics , bifurcation , amplitude , fourier transform , dynamics (music) , optics , stability (learning theory) , complex dynamics , semiconductor , mathematical analysis , optoelectronics , mathematics , quantum mechanics , computer science , genetics , structural engineering , machine learning , acoustics , biology , engineering
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.