Electronic Transport Theories

Author : Navinder Singh
Publisher : CRC Press
Page : 110 pages
File Size : 52,5 Mb
Release : 2016-11-17
Category : Science
ISBN : 9781315351964

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Electronic Transport Theories by Navinder Singh Pdf

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.

Author : Carlo Jacoboni
Publisher : Springer Science & Business Media
Page : 590 pages
File Size : 48,6 Mb
Release : 2010-09-05
Category : Science
ISBN : 9783642105869

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Theory of Electron Transport in Semiconductors by Carlo Jacoboni Pdf

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.

Author : Supriyo Datta
Publisher : Cambridge University Press
Page : 398 pages
File Size : 50,8 Mb
Release : 1997-05-15
Category : Science
ISBN : 9781139643016

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Electronic Transport in Mesoscopic Systems by Supriyo Datta Pdf

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.

Author : Navinder Singh
Publisher : CRC Press
Page : 240 pages
File Size : 41,6 Mb
Release : 2016-11-17
Category : Science
ISBN : 9781498743600

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Electronic Transport Theories by Navinder Singh Pdf

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.

Author : Massimiliano Di Ventra
Publisher : Cambridge University Press
Page : 477 pages
File Size : 53,9 Mb
Release : 2008-08-07
Category : Science
ISBN : 9781139475020

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Electrical Transport in Nanoscale Systems by Massimiliano Di Ventra Pdf

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.

Author : Dmitry Ryndyk
Publisher : Springer
Page : 246 pages
File Size : 49,8 Mb
Release : 2015-12-08
Category : Science
ISBN : 9783319240886

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Theory of Quantum Transport at Nanoscale by Dmitry Ryndyk Pdf

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.

Author : Massimo V. Fischetti,William G. Vandenberghe
Publisher : Springer
Page : 474 pages
File Size : 45,7 Mb
Release : 2016-05-20
Category : Technology & Engineering
ISBN : 9783319011011

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Advanced Physics of Electron Transport in Semiconductors and Nanostructures by Massimo V. Fischetti,William G. Vandenberghe Pdf

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 : Eckehard Schöll
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 51,6 Mb
Release : 2013-11-27
Category : Technology & Engineering
ISBN : 9781461558071

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Theory of Transport Properties of Semiconductor Nanostructures by Eckehard Schöll Pdf

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 : B. R. Nag
Publisher : Pergamon
Page : 244 pages
File Size : 43,8 Mb
Release : 1972
Category : Science
ISBN : STANFORD:36105030536267

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Theory of Electrical Transport in Semiconductors by B. R. Nag Pdf

Author : J.M. Ziman
Publisher : Oxford University Press
Page : 572 pages
File Size : 52,7 Mb
Release : 2001-02
Category : Science
ISBN : 0198507798

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Electrons and Phonons by J.M. Ziman Pdf

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

Author : Jorgen Rammer
Publisher : CRC Press
Page : 262 pages
File Size : 47,8 Mb
Release : 2018-05-04
Category : Science
ISBN : 9780429982460

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Quantum Transport Theory by Jorgen Rammer Pdf

This book provides an introduction to transport theory, the kinetic equation approach and shows the utility of Feynman diagrams in non-equilibrium quantum statistical mechanics. It is helpful for a wider audience than students of condensed matter physics and physicists in general.

Author : Supriyo Datta
Publisher : Cambridge University Press
Page : 398 pages
File Size : 46,8 Mb
Release : 1997-05-15
Category : Science
ISBN : 0521599431

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Electronic Transport in Mesoscopic Systems by Supriyo Datta Pdf

A thorough account of the theory of electronic transport in semiconductor nanostructures.

Author : John P. Xanthakis
Publisher : CRC Press
Page : 311 pages
File Size : 54,8 Mb
Release : 2020-12-14
Category : Science
ISBN : 9780429014345

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Electronic Conduction by John P. Xanthakis Pdf

Electronic Conduction: Classical and Quantum Theory to Nanoelectronic Devices provides a concise, complete introduction to the fundamental principles of electronic conduction in microelectronic and nanoelectronic devices, with an emphasis on integrating the quantum aspects of conduction. The chapter coverage begins by presenting the classical theory of conduction, including introductory chapters on quantum mechanics and the solid state, then moving to a complete presentation of essential theory for understanding modern electronic devices. The author’s unique approach is applicable to microscale and nanoscale device simulation, which is particularly timely given the explosion in the nanoelectronics field. Features Self-contained Gives a complete account of classical and quantum aspects of conduction in nanometer scale devices Emphasises core principles, the book can be useful to electrical engineers and material scientists, and no prior course in semiconductors is necessary Highlights the bridge to modern electronics, first presenting the physics, and then the engineering complications related to quantum behaviour Includes many clear, illustrative diagrams and chapter problem sets Gives an account of post-Silicon devices such as the GaAs MOSFET, the CNT-FET and the vacuum transistor Showcases why quantum mechanics is necessary with modern devices due to their size and corresponding electron transport properties Discusses all the issues that will enable readers to conduct their own research

Author : Neophytos Neophytou
Publisher : Unknown
Page : 97 pages
File Size : 48,9 Mb
Release : 2020
Category : Electron transport
ISBN : 3030386821

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Theory and Simulation Methods for Electronic and Phononic Transport in Thermoelectric Materials by Neophytos Neophytou Pdf

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.

Author : M. I. Klinger
Publisher : Elsevier
Page : 950 pages
File Size : 40,5 Mb
Release : 2017-05-04
Category : Science
ISBN : 9781483158198

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Problems of Linear Electron (Polaron) Transport Theory in Semiconductors by M. I. Klinger Pdf

Problems of Linear Electron (Polaron) Transport Theory in Semiconductors summarizes and discusses the development of areas in electron transport theory in semiconductors, with emphasis on the fundamental aspects of the theory and the essential physical nature of the transport processes. The book is organized into three parts. Part I focuses on some general topics in the theory of transport phenomena: the general dynamical theory of linear transport in dissipative systems (Kubo formulae) and the phenomenological theory. Part II deals with the theory of polaron transport in a crystalline semiconductor. The last part contains a critical account of electron transport in disordered systems, including amorphous substances, with allowance for polaron effects.