The k p Method

The k p Method

Author: Lok C. Lew Yan Voon

Publisher: Springer Science & Business Media

Published: 2009-06-06

Total Pages: 452

ISBN-13: 3540928723

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I ?rst heard of k·p in a course on semiconductor physics taught by my thesis adviser William Paul at Harvard in the fall of 1956. He presented the k·p Hamiltonian as a semiempirical theoretical tool which had become rather useful for the interpre- tion of the cyclotron resonance experiments, as reported by Dresselhaus, Kip and Kittel. This perturbation technique had already been succinctly discussed by Sho- ley in a now almost forgotten 1950 Physical Review publication. In 1958 Harvey Brooks, who had returned to Harvard as Dean of the Division of Engineering and Applied Physics in which I was enrolled, gave a lecture on the capabilities of the k·p technique to predict and ?t non-parabolicities of band extrema in semiconductors. He had just visited the General Electric Labs in Schenectady and had discussed with Evan Kane the latter’s recent work on the non-parabolicity of band extrema in semiconductors, in particular InSb. I was very impressed by Dean Brooks’s talk as an application of quantum mechanics to current real world problems. During my thesis work I had performed a number of optical measurements which were asking for theoretical interpretation, among them the dependence of effective masses of semiconductors on temperature and carrier concentration. Although my theoretical ability was rather limited, with the help of Paul and Brooks I was able to realize the capabilities of the k·p method for interpreting my data in a simple way.


Harmonic Analysis Method for Nonlinear Evolution Equations, I

Harmonic Analysis Method for Nonlinear Evolution Equations, I

Author: Baoxiang Wang

Publisher: World Scientific

Published: 2011

Total Pages: 298

ISBN-13: 9814360732

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This monograph provides a comprehensive overview on a class of nonlinear dispersive equations, such as nonlinear Schr dinger equation, nonlinear Klein Gordon equation, KdV equation as well as the Navier Stokes equations and the Boltzmann equation. The global wellposedness to the Cauchy problem for those equations are systematically studied by using the Harmonic analysis methods. This book is self-contained and may also be used as an advanced textbook by graduate students in analysis and PDE subjects- and even ambitious undergraduate students.


Semiconductor Nanostructures

Semiconductor Nanostructures

Author: Dieter Bimberg

Publisher: Springer Science & Business Media

Published: 2008-06-03

Total Pages: 369

ISBN-13: 3540778993

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Reducing the size of a coherently grown semiconductor cluster in all three directions of space to a value below the de Broglie wavelength of a charge carrier leads to complete quantization of the energy levels, density of states, etc. Such “quantum dots” are more similar to giant atoms in a dielectric cage than to classical solids or semiconductors showing a dispersion of energy as a function of wavevector. Their electronic and optical properties depend strongly on their size and shape, i.e. on their geometry. By designing the geometry by controlling the growth of QDs, absolutely novel possibilities for material design leading to novel devices are opened. This multiauthor book written by world-wide recognized leaders of their particular fields and edited by the recipient of the Max-Born Award and Medal 2006 Professor Dieter Bimberg reports on the state of the art of the growing of quantum dots, the theory of self-organised growth, the theory of electronic and excitonic states, optical properties and transport in a variety of materials. It covers the subject from the early work beginning of the 1990s up to 2006. The topics addressed in the book are the focus of research in all leading semiconductor and optoelectronic device laboratories of the world.


Mathematical Methods and Models in Biomedicine

Mathematical Methods and Models in Biomedicine

Author: Urszula Ledzewicz

Publisher: Springer Science & Business Media

Published: 2012-10-21

Total Pages: 426

ISBN-13: 1461441773

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Mathematical biomedicine is a rapidly developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the modeling and simulation challenges raised by biology and medicine. There exist a large number of mathematical methods and procedures that can be brought in to meet these challenges and this book presents a palette of such tools ranging from discrete cellular automata to cell population based models described by ordinary differential equations to nonlinear partial differential equations representing complex time- and space-dependent continuous processes. Both stochastic and deterministic methods are employed to analyze biological phenomena in various temporal and spatial settings. This book illustrates the breadth and depth of research opportunities that exist in the general field of mathematical biomedicine by highlighting some of the fascinating interactions that continue to develop between the mathematical and biomedical sciences. It consists of five parts that can be read independently, but are arranged to give the reader a broader picture of specific research topics and the mathematical tools that are being applied in its modeling and analysis. The main areas covered include immune system modeling, blood vessel dynamics, cancer modeling and treatment, and epidemiology. The chapters address topics that are at the forefront of current biomedical research such as cancer stem cells, immunodominance and viral epitopes, aggressive forms of brain cancer, or gene therapy. The presentations highlight how mathematical modeling can enhance biomedical understanding and will be of interest to both the mathematical and the biomedical communities including researchers already working in the field as well as those who might consider entering it. Much of the material is presented in a way that gives graduate students and young researchers a starting point for their own work.


A Modern Course in the Quantum Theory of Solids

A Modern Course in the Quantum Theory of Solids

Author: Fuxiang Han

Publisher: World Scientific

Published: 2013

Total Pages: 721

ISBN-13: 9814417149

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This book contains advanced subjects in solid state physics with emphasis on the theoretical exposition of various physical phenomena in solids using quantum theory, hence entitled "A modern course in the quantum theory of solids." The use of the adjective "modern" in the title is to reflect the fact that some of the new developments in condensed matter physics have been included in the book. The new developments contained in the book are mainly in experimental methods (inelastic neutron scattering and photoemission spectroscopy), in magnetic properties of solids (the itinerant magnetism, the superexchange, the Hubbard model, and giant and colossal magnetoresistance), and in optical properties of solids (Raman scattering). Besides the new developments, the Green's function method used in many-body physics and the strong-coupling theory of superconductivity are also expounded in great details.


Solid-State Photoemission and Related Methods

Solid-State Photoemission and Related Methods

Author: Wolfgang Schattke

Publisher: John Wiley & Sons

Published: 2003-11-21

Total Pages: 520

ISBN-13: 9783527403349

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Aktuelles Handbuch über Photoemission und verwandte Methoden zur Untersuchung und Charakterisierung von kondensierter Materie. Dieses Werk bietet sowohl Experimentalphysikern als auch Theoretikern alle Informationen von den physikalischen Grundlagen über Durchführung und Interpretation von Messungen aus einer Hand. Der Inhalt umfasst die räumlichen und elektronischen Eigenschaften von Oberflächen und Grenzflächen, theoretische Methoden zur Berechnung von Spektren, experimentelle Techniken zur Datenaufnahme und physikalische Modelle zur Interpretation.


Simulation of Semiconductor Processes and Devices 2007

Simulation of Semiconductor Processes and Devices 2007

Author: Tibor Grasser

Publisher: Springer Science & Business Media

Published: 2007-09-18

Total Pages: 472

ISBN-13: 3211728600

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The "Twelfth International Conference on Simulation of Semiconductor Processes and Devices" (SISPAD 2007) continues a long series of conferences and is held in September 2007 at the TU Wien, Vienna, Austria. The conference is the leading forum for Technology Computer-Aided Design (TCAD) held alternatingly in the United States, Japan, and Europe. The first SISPAD conference took place in Tokyo in 1996 as the successor to three preceding conferences NUPAD, VPAD, and SISDEP. With its longstanding history SISPAD provides a world-wide forum for the presentaƯ tion and discussion of outstanding recent advances and developments in the field of numerical process and device simulation. Driven by the ongoing miniaturization in semiconductor fabrication technology, the variety of topics discussed at this meeting reflects the ever-growing complexity of the subject. Apart from the classic topics like process, device, and interconnect simulation, mesh generation, a broad specƯ trum of numerical issues, and compact modeling, new simulation approaches like atomistic and first-principles methods have emerged as important fields of research and are currently making their way into standard TCAD suites


Simulation of Transport in Nanodevices

Simulation of Transport in Nanodevices

Author: François Triozon

Publisher: John Wiley & Sons

Published: 2016-11-22

Total Pages: 404

ISBN-13: 1118761774

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Linear current-voltage pattern, has been and continues to be the basis for characterizing, evaluating performance, and designing integrated circuits, but is shown not to hold its supremacy as channel lengths are being scaled down. In a nanoscale circuit with reduced dimensionality in one or more of the three Cartesian directions, quantum effects transform the carrier statistics. In the high electric field, the collision free ballistic transform is predicted, while in low electric field the transport remains predominantly scattering-limited. In a micro/nano-circuit, even a low logic voltage of 1 V is above the critical voltage triggering nonohmic behavior that results in ballistic current saturation. A quantum emission may lower this ballistic velocity.