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Electronic Transport Theories

Electronic Transport Theories
Author: Navinder Singh
Publisher: CRC Press
Total Pages: 110
Release: 2016-11-17
Genre: Science
ISBN: 131535196X

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Maintaining a practical perspective, Electronic Transport Theories: From Weakly to Strongly Correlated Materials provides an integrative overview and comprehensive coverage of electronic transport with pedagogy in view. It covers traditional theories, such as the Boltzmann transport equation and the Kubo formula, along with recent theories of transport in strongly correlated materials. The understood case of electronic transport in metals is treated first, and then transport issues in strange metals are reviewed. Topics discussed are: the Drude-Lorentz theory; the traditional Bloch-Boltzmann theory and the Grüneisen formula; the Nyquist theorem and its formulation by Callen and Welton; the Kubo formalism; the Langevin equation approach; the Wölfle-Götze memory function formalism; the Kohn-Luttinger theory of transport; and some recent theories dealing with strange metals. This book is an invaluable resource for undergraduate students, post-graduate students, and researchers with a background in quantum mechanics, statistical mechanics, and mathematical methods.


Theory of Electron Transport in Semiconductors

Theory of Electron Transport in Semiconductors
Author: Carlo Jacoboni
Publisher: Springer Science & Business Media
Total Pages: 590
Release: 2010-09-05
Genre: Science
ISBN: 3642105866

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This book originated out of a desire to provide students with an instrument which might lead them from knowledge of elementary classical and quantum physics to moderntheoreticaltechniques for the analysisof electrontransport in semiconductors. The book is basically a textbook for students of physics, material science, and electronics. Rather than a monograph on detailed advanced research in a speci?c area, it intends to introduce the reader to the fascinating ?eld of electron dynamics in semiconductors, a ?eld that, through its applications to electronics, greatly contributed to the transformationof all our lives in the second half of the twentieth century, and continues to provide surprises and new challenges. The ?eld is so extensive that it has been necessary to leave aside many subjects, while others could be dealt with only in terms of their basic principles. The book is divided into ?ve major parts. Part I moves from a survey of the fundamentals of classical and quantum physics to a brief review of basic semiconductor physics. Its purpose is to establish a common platform of language and symbols, and to make the entire treatment, as far as pos- ble, self-contained. Parts II and III, respectively, develop transport theory in bulk semiconductors in semiclassical and quantum frames. Part IV is devoted to semiconductor structures, including devices and mesoscopic coherent s- tems. Finally, Part V develops the basic theoretical tools of transport theory within the modern nonequilibrium Green-function formulation, starting from an introduction to second-quantization formalism.


Electronic Transport Theories

Electronic Transport Theories
Author: Navinder Singh
Publisher: CRC Press
Total Pages: 240
Release: 2016-11-17
Genre: Science
ISBN: 1498743609

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Maintaining a practical perspective, Electronic Transport Theories: From Weakly to Strongly Correlated Materials provides an integrative overview and comprehensive coverage of electronic transport with pedagogy in view. It covers traditional theories, such as the Boltzmann transport equation and the Kubo formula, along with recent theories of transport in strongly correlated materials. The understood case of electronic transport in metals is treated first, and then transport issues in strange metals are reviewed. Topics discussed are: the Drude-Lorentz theory; the traditional Bloch-Boltzmann theory and the Grüneisen formula; the Nyquist theorem and its formulation by Callen and Welton; the Kubo formalism; the Langevin equation approach; the Wölfle-Götze memory function formalism; the Kohn-Luttinger theory of transport; and some recent theories dealing with strange metals. This book is an invaluable resource for undergraduate students, post-graduate students, and researchers with a background in quantum mechanics, statistical mechanics, and mathematical methods.


Electronic Transport in Mesoscopic Systems

Electronic Transport in Mesoscopic Systems
Author: Supriyo Datta
Publisher: Cambridge University Press
Total Pages: 398
Release: 1997-05-15
Genre: Science
ISBN: 1139643010

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Advances in semiconductor technology have made possible the fabrication of structures whose dimensions are much smaller than the mean free path of an electron. This book gives a thorough account of the theory of electronic transport in such mesoscopic systems. After an initial chapter covering fundamental concepts, the transmission function formalism is presented, and used to describe three key topics in mesoscopic physics: the quantum Hall effect; localisation; and double-barrier tunnelling. Other sections include a discussion of optical analogies to mesoscopic phenomena, and the book concludes with a description of the non-equilibrium Green's function formalism and its relation to the transmission formalism. Complete with problems and solutions, the book will be of great interest to graduate students of mesoscopic physics and nanoelectronic device engineering, as well as to established researchers in these fields.


Electrical Transport in Nanoscale Systems

Electrical Transport in Nanoscale Systems
Author: Massimiliano Di Ventra
Publisher: Cambridge University Press
Total Pages: 477
Release: 2008-08-07
Genre: Science
ISBN: 1139475029

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In recent years there has been a huge increase in the research and development of nanoscale science and technology. Central to the understanding of the properties of nanoscale structures is the modeling of electronic conduction through these systems. This graduate textbook provides an in-depth description of the transport phenomena relevant to systems of nanoscale dimensions. In this textbook the different theoretical approaches are critically discussed, with emphasis on their basic assumptions and approximations. The book also covers information content in the measurement of currents, the role of initial conditions in establishing a steady state, and the modern use of density-functional theory. Topics are introduced by simple physical arguments, with particular attention to the non-equilibrium statistical nature of electrical conduction, and followed by a detailed formal derivation. This textbook is ideal for graduate students in physics, chemistry, and electrical engineering.


Theory of Quantum Transport at Nanoscale

Theory of Quantum Transport at Nanoscale
Author: Dmitry Ryndyk
Publisher: Springer
Total Pages: 251
Release: 2015-12-08
Genre: Science
ISBN: 3319240889

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This book is an introduction to a rapidly developing field of modern theoretical physics – the theory of quantum transport at nanoscale. The theoretical methods considered in the book are in the basis of our understanding of charge, spin and heat transport in nanostructures and nanostructured materials and are widely used in nanoelectronics, molecular electronics, spin-dependent electronics (spintronics) and bio-electronics. The book is based on lectures for graduate and post-graduate students at the University of Regensburg and the Technische Universität Dresden (TU Dresden). The first part is devoted to the basic concepts of quantum transport: Landauer-Büttiker method and matrix Green function formalism for coherent transport, Tunneling (Transfer) Hamiltonian and master equation methods for tunneling, Coulomb blockade, vibrons and polarons. The results in this part are obtained as possible without sophisticated techniques, such as nonequilibrium Green functions, which are considered in detail in the second part. A general introduction into the nonequilibrium Green function theory is given. The approach based on the equation-of-motion technique, as well as more sophisticated one based on the Dyson-Keldysh diagrammatic technique are presented. The main attention is paid to the theoretical methods able to describe the nonequilibrium (at finite voltage) electron transport through interacting nanosystems, specifically the correlation effects due to electron-electron and electron-vibron interactions.


Electrons and Phonons

Electrons and Phonons
Author: J.M. Ziman
Publisher: Oxford University Press
Total Pages: 572
Release: 2001-02
Genre: Science
ISBN: 9780198507796

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This is a classic text of its time in condensed matter physics.


Theory of Transport Properties of Semiconductor Nanostructures

Theory of Transport Properties of Semiconductor Nanostructures
Author: Eckehard Schöll
Publisher: Springer Science & Business Media
Total Pages: 394
Release: 2013-11-27
Genre: Technology & Engineering
ISBN: 1461558077

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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.


Theory and Simulation Methods for Electronic and Phononic Transport in Thermoelectric Materials

Theory and Simulation Methods for Electronic and Phononic Transport in Thermoelectric Materials
Author: Neophytos Neophytou
Publisher:
Total Pages: 97
Release: 2020
Genre: Electron transport
ISBN: 9783030386825

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This book introduces readers to state-of-the-art theoretical and simulation techniques for determining transport in complex band structure materials and nanostructured-geometry materials, linking the techniques developed by the electronic transport community to the materials science community. Starting from the semi-classical Boltzmann Transport Equation method for complex band structure materials, then moving on to Monte Carlo and fully quantum mechanical models for nanostructured materials, the book addresses the theory and computational complexities of each method, as well as their advantages and capabilities. Presented in language that is accessible to junior computational scientists, while including enough detail and depth with regards to numerical implementation to tackle modern research problems, it offers a valuable resource for computational scientists and postgraduate researchers whose work involves the theory and simulation of electro-thermal transport in advanced materials.