Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors

Abstract

Nonlinear transport phenomena are an increasingly important aspect of modern semiconductor research. Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors deals with complex nonlinear dynamics, pattern formation, and chaotic behaviour in such systems. In doing so it bridges the gap between two well-established fields: the theory of dynamic systems, and nonlinear charge transport in semiconductors. This unified approach is used to consider important electronic transport instabilities. The initial chapters lay a general framework for the theoretical description of nonlinear self-organized spatio-temporal patterns, like current filaments, field domains, fronts, and analysis of their stability. Later chapters consider important model systems in detail: impact ionization induced impurity breakdown, Hall instabilities, superlattices, and low-dimensional structures. State-of-the-art results include chaos control, spatio-temporal chaos, multistability, pattern selection, activator-inhibitor kinetics, and global coupling, linking fundamental issues to electronic device applications. This book will be of great value to semiconductor physicists and nonlinear scientists alike.

Asymmetric Target Patterns in One-Dimensional Oscillatory Media with Genuine Nonlocal Coupling

“…So far, the overwhelming part of studies focused on the two limiting cases of spatial coupling, namely, local or nearest neighbor coupling, and global all-to-all coupling with infinite coupling range. Lately, also the dynamics of systems in which both local and global coupling coexist has been investigated (see, e.g., [1][2][3][4][5][6]). …”

Control of coherence resonance in semiconductor superlattices

“…The superlattice is a prominent example of a semiconductor nanostructure device which may serve as a practically relevant nonlinear model system [17] and may find applications as an ultra-high frequency electronic oscillator [18,19,20].…”

Coupled electron–heat transport in nonuniform thin film semiconductor structures

“…14 and 15, and comprehensive modern analysis in Ref. 16 containing references to many other publications. A number of straightforward dynamical models are based on the coupled differential equations of heat transfer and electronic transport, the latter possessing certain features conducive of instabilities, such as, e. g. nonlinear electron transport related to electron system overheating, impact ionization or electro acoustic effects.…”