Transport Equations For Semiconductors

Author : Ansgar Jüngel
Publisher : Springer Science & Business Media
ISBN 13 : 3540895256
Total Pages : 326 pages
Book Rating : 4.51/5 ( download)

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Download or read book Transport Equations for Semiconductors written by Ansgar Jüngel and published by Springer Science & Business Media. This book was released on 2009-03-17 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a systematic and mathematically accurate description and derivation of transport equations in solid state physics, in particular semiconductor devices.

Author : Martin Galler
Publisher : World Scientific
ISBN 13 : 9812703381
Total Pages : 250 pages
Book Rating : 4.85/5 ( download)

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Download or read book Multigroup Equations for the Description of the Particle Transport in Semiconductors written by Martin Galler and published by World Scientific. This book was released on 2005 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deterministic simulation of the particle transport in semiconductor devices is an interesting alternative to the common Monte Carlo approach. In this book, a state-of-the-art technique called the multigroup approach is presented and applied to a variety of transport problems in bulk semiconductors and semiconductor devices. High-field effects as well as hot-phonon phenomena in polar semiconductors are studied in detail. The mathematical properties of the presented numerical method are studied, and the method is applied to simulating the transport of a two-dimensional electron gas formed at a semiconductor heterostructure. Concerning semiconductor device simulation, several diodes and transistors fabricated of silicon and gallium arsenide are investigated. For all of these simulations, the numerical techniques employed are discussed in detail. This unique study of the application of direct methods for semiconductor device simulation provides the interested reader with an indispensable reference on this growing research area.

Author : Peter A. Markowich
Publisher : Springer Science & Business Media
ISBN 13 : 3709169615
Total Pages : 261 pages
Book Rating : 4.12/5 ( download)

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Download or read book Semiconductor Equations written by Peter A. Markowich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years the mathematical modeling of charge transport in semi conductors has become a thriving area in applied mathematics. The drift diffusion equations, which constitute the most popular model for the simula tion of the electrical behavior of semiconductor devices, are by now mathe matically quite well understood. As a consequence numerical methods have been developed, which allow for reasonably efficient computer simulations in many cases of practical relevance. Nowadays, research on the drift diffu sion model is of a highly specialized nature. It concentrates on the explora tion of possibly more efficient discretization methods (e.g. mixed finite elements, streamline diffusion), on the improvement of the performance of nonlinear iteration and linear equation solvers, and on three dimensional applications. The ongoing miniaturization of semiconductor devices has prompted a shift of the focus of the modeling research lately, since the drift diffusion model does not account well for charge transport in ultra integrated devices. Extensions of the drift diffusion model (so called hydrodynamic models) are under investigation for the modeling of hot electron effects in submicron MOS-transistors, and supercomputer technology has made it possible to employ kinetic models (semiclassical Boltzmann-Poisson and Wigner Poisson equations) for the simulation of certain highly integrated devices.

Author : Eckehard Schöll
Publisher : Springer Science & Business Media
ISBN 13 : 1461558077
Total Pages : 394 pages
Book Rating : 4.71/5 ( download)

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Download or read book Theory of Transport Properties of Semiconductor Nanostructures written by Eckehard Schöll and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : El-Saba, Muhammad
Publisher : IGI Global
ISBN 13 : 1522523138
Total Pages : 690 pages
Book Rating : 4.30/5 ( download)

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Download or read book Transport of Information-Carriers in Semiconductors and Nanodevices written by El-Saba, Muhammad and published by IGI Global. This book was released on 2017-03-31 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapid developments in technology have led to enhanced electronic systems and applications. When utilized correctly, these can have significant impacts on communication and computer systems. Transport of Information-Carriers in Semiconductors and Nanodevices is an innovative source of academic material on transport modelling in semiconductor material and nanoscale devices. Including a range of perspectives on relevant topics such as charge carriers, semiclassical transport theory, and organic semiconductors, this is an ideal publication for engineers, researchers, academics, professionals, and practitioners interested in emerging developments on transport equations that govern information carriers.

Author : Xiaolin Lei
Publisher : World Scientific
ISBN 13 : 9812819029
Total Pages : 657 pages
Book Rating : 4.24/5 ( download)

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Download or read book Balance Equation Approach to Electron Transport In Semiconductors written by Xiaolin Lei and published by World Scientific. This book was released on 2008 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic, comprehensive and up-to-date description of the physical basis of the balance equation transport theory and its applications in bulk and low-dimensional semiconductors. The different aspects of the balance equation method, originally proposed by C S Ting and the author of the present book, were reviewed in the volume entitled Physics of Hot Electron Transport in Semiconductors (edited by C S Ting, World Scientific, 1992). Since then, this method has been extensively developed and applied to various new fields, such as transport in nonparabolic systems, spatially nonuniform systems and semiconductor devices, miniband conduction of superlattices, hot-electron magnetotransport, effects of impact ionization in transport, microwave-induced magnetoresistance oscillation, radiation-driven transport and electron cooling, etc. Due to its simplicity and effectiveness, the balance equation approach has become a useful tool to tackle the many transport phenomena in semiconductors, and provides a reliable basis for developing theories, modeling devices and explaining experiments.The book may be used as a textbook by graduate students. It will also benefit researchers in the field by helping them grasp the basic principles and techniques of the method, without having to spend a lot of time digging out the information from widespread literature covering a period of 30 years.

Author : Massimo V. Fischetti
Publisher : Springer
ISBN 13 : 3319011014
Total Pages : 481 pages
Book Rating : 4.11/5 ( download)

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Download or read book Advanced Physics of Electron Transport in Semiconductors and Nanostructures written by Massimo V. Fischetti and published by Springer. This book was released on 2016-05-20 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at second-year graduate students in Physics, Electrical Engineering, or Materials Science. It presents a rigorous introduction to electronic transport in solids, especially at the nanometer scale.Understanding electronic transport in solids requires some basic knowledge of Hamiltonian Classical Mechanics, Quantum Mechanics, Condensed Matter Theory, and Statistical Mechanics. Hence, this book discusses those sub-topics which are required to deal with electronic transport in a single, self-contained course. This will be useful for students who intend to work in academia or the nano/ micro-electronics industry.Further topics covered include: the theory of energy bands in crystals, of second quantization and elementary excitations in solids, of the dielectric properties of semiconductors with an emphasis on dielectric screening and coupled interfacial modes, of electron scattering with phonons, plasmons, electrons and photons, of the derivation of transport equations in semiconductors and semiconductor nanostructures somewhat at the quantum level, but mainly at the semi-classical level. The text presents examples relevant to current research, thus not only about Si, but also about III-V compound semiconductors, nanowires, graphene and graphene nanoribbons. In particular, the text gives major emphasis to plane-wave methods applied to the electronic structure of solids, both DFT and empirical pseudopotentials, always paying attention to their effects on electronic transport and its numerical treatment. The core of the text is electronic transport, with ample discussions of the transport equations derived both in the quantum picture (the Liouville-von Neumann equation) and semi-classically (the Boltzmann transport equation, BTE). An advanced chapter, Chapter 18, is strictly related to the ‘tricky’ transition from the time-reversible Liouville-von Neumann equation to the time-irreversible Green’s functions, to the density-matrix formalism and, classically, to the Boltzmann transport equation. Finally, several methods for solving the BTE are also reviewed, including the method of moments, iterative methods, direct matrix inversion, Cellular Automata and Monte Carlo. Four appendices complete the text.

Author : Kjell Blötekjaer
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.83/5 ( download)

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Download or read book Transport Equations for Electrons in Two-valley Semiconductors written by Kjell Blötekjaer and published by . This book was released on 1969 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transport equations are derived for particles, momentum and energy of electrons in a semiconductor with two distinct valleys in the conduction band, such as GaAs. Care is taken to state and discuss the assumptions which are made in the derivation. The collision processes are expressed in terms of relaxation times. The accuracy is improved by considering these to depend on the average kinetic energy rather than the electron temperature. Other transport equations used in the literature are discussed, and shown to be incomplete and inaccurate in many cases. (Author).

Author : B. M. Askerov
Publisher : World Scientific
ISBN 13 : 9789810212834
Total Pages : 416 pages
Book Rating : 4.36/5 ( download)

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Download or read book Electron Transport Phenomena in Semiconductors written by B. M. Askerov and published by World Scientific. This book was released on 1994 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the first systematic and detailed exposition of the linear theory of the stationary electron transport phenomena in semiconductors. Arbitrary isotropic and anisotropic nonparabolic bands as well as p-Ge-type bands are considered. Phonon drag effect are taken account of in an arbitrary nonquantizing magnetic field. Scattering theory is discussed in detail with account taken of the Bloch wave functions effect. Transport phenomena in the quantizing magnetic field are studied as well as the size effects in thin films. Band structures of the semiconductors and semiconductor compounds of interest are also considered.The main part of the book deals with the three important problems: charge carrier statistics in a semiconductor, classical and quantum theory of the electron transport phenomena. All the theoretical results considered as well as the validity conditions are presented in the form which may be directly used to interpret experimental data.

Author : Hartmut Haug
Publisher : Springer Science & Business Media
ISBN 13 : 354073564X
Total Pages : 365 pages
Book Rating : 4.49/5 ( download)

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Download or read book Quantum Kinetics in Transport and Optics of Semiconductors written by Hartmut Haug and published by Springer Science & Business Media. This book was released on 2007-12-10 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: The state-of-the-art of quantum transport and quantum kinetics in semiconductors, plus the latest applications, are covered in this monograph. Since the publishing of the first edition in 1996, the nonequilibrium Green function technique has been applied to a large number of new research topics, and the revised edition introduces the reader to many of these areas. This book is both a reference work for researchers and a self-tutorial for graduate students.