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Nonlinear transport phenomena are an increasingly important aspect of modern semiconductor research. This volume deals with complex nonlinear dynamics, pattern formation, and chaotic behavior in such systems. It bridges the gap between two well-established fields: the theory of dynamic systems and nonlinear charge transport in semiconductors. This unified approach helps reveal important electronic transport instabilities. The initial chapters lay a general framework for the theoretical description of nonlinear self-organized spatio-temporal patterns, such as 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.
The book summarizes the state-of-the-art of research on control of
self-organizing nonlinear systems with contributions from leading
international experts in the field. The first focus concerns recent
methodological developments including control of networks and of
noisy and time-delayed systems. As a second focus, the book
features emerging concepts of application including control of
quantum systems, soft condensed matter, and biological systems.
Special topics reflecting the active research in the field are the
analysis and control of chimera states in classical networks and in
quantum systems, the mathematical treatment of multiscale systems,
the control of colloidal and quantum transport, the control of
epidemics and of neural network dynamics.
The theoretical understanding of transport properties of
semiconductor structures on short length and short time scales, and
in the nonlinear high-field regime is of particular relevance for
future electronic and optoelectronic materials. In recent years
great progress has been made in a variety of aspects. Theory of
Transport Properties of Semiconductor Nanostructures presents a
state-of-the-art overview of theoretical methods, results, and
applications in the field. It contains eleven chapters which are
written by leading researchers. This book starts with a tutorial
introduction to the subject, then in the following five chapters a
hierarchy of different approaches to transport theory is presented,
descending from a macroscopic level (quasihydrodynamic simulation)
via semiclassical Monte Carlo techniques and cellular automata to a
full quantum transport theory covering both Green's functions and
density matrix theory. In the last five chapters the formalism is
applied to more specific topics which are of great current interest
such as transport in mesoscopic structures, chaotic dynamics in
lateral superlattices, Bloch oscillations and Wannier-Stark
localization, field domain formation in superlattices, and
scattering processes in low-dimensional structures. Theory of
Transport Properties of Semiconductor Nanostructures is aimed at
physicists, electronic engineers, materials scientists and applied
mathematicians. It may be used in research, as a professional
reference in microelectronics, optoelectronics, and graduate
teaching. This book should be useful not only to graduate students
but also to professional scientists working in the field. It
attempts to present comprehensive reviewsof the most important
advances, and often takes a tutorial approach.
The book summarizes the state-of-the-art of research on control of
self-organizing nonlinear systems with contributions from leading
international experts in the field. The first focus concerns recent
methodological developments including control of networks and of
noisy and time-delayed systems. As a second focus, the book
features emerging concepts of application including control of
quantum systems, soft condensed matter, and biological systems.
Special topics reflecting the active research in the field are the
analysis and control of chimera states in classical networks and in
quantum systems, the mathematical treatment of multiscale systems,
the control of colloidal and quantum transport, the control of
epidemics and of neural network dynamics.
Recent advances in the fabrication of semiconductors have created
almost un limited possibilities to design structures on a nanometre
scale with extraordinary electronic and optoelectronic properties.
The theoretical understanding of elec trical transport in such
nanostructures is of utmost importance for future device
applications. This represents a challenging issue of today's basic
research since it requires advanced theoretical techniques to cope
with the quantum limit of charge transport, ultrafast carrier
dynamics and strongly nonlinear high-field ef fects. This book,
which appears in the electronic materials series, presents an over
view of the theoretical background and recent developments in the
theory of electrical transport in semiconductor nanostructures. It
contains 11 chapters which are written by experts in their fields.
Starting with a tutorial introduction to the subject in Chapter 1,
it proceeds to present different approaches to transport theory.
The semiclassical Boltzmann transport equation is in the centre of
the next three chapters. Hydrodynamic moment equations (Chapter 2),
Monte Carlo techniques (Chapter 3) and the cellular au tomaton
approach (Chapter 4) are introduced and illustrated with
applications to nanometre structures and device simulation. A full
quantum-transport theory covering the Kubo formalism and
nonequilibrium Green's functions (Chapter 5) as well as the density
matrix theory (Chapter 6) is then presented.
Semiconductors can exhibit electrical instabilities like current
runaway, threshold switching, current filamentation, or
oscillations, when they are driven far from thermodynamic
equilibrium. This book presents a coherent theoretical des-
cription of such cooperative phenomena induced by generation and
recombination processes of charge carriers in semicon- ductors.
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.
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