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Theory Of Quantum Transport At Nanoscale


Theory Of Quantum Transport At Nanoscale
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Theory Of Quantum Transport At Nanoscale


Theory Of Quantum Transport At Nanoscale
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Author : Dmitry Ryndyk
language : en
Publisher: Springer
Release Date : 2015-12-08

Theory Of Quantum Transport At Nanoscale written by Dmitry Ryndyk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Science categories.


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.



Electrical Transport In Nanoscale Systems


Electrical Transport In Nanoscale Systems
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Author : Massimiliano Di Ventra
language : en
Publisher: Cambridge University Press
Release Date : 2008-08-07

Electrical Transport In Nanoscale Systems written by Massimiliano Di Ventra and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-07 with Science categories.


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.



Quantum Transport In Nanostructures And Molecules


Quantum Transport In Nanostructures And Molecules
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Author : LAMBERT
language : en
Publisher: Myprint
Release Date : 2021-03-23

Quantum Transport In Nanostructures And Molecules written by LAMBERT and has been published by Myprint this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-23 with categories.




Quantum Transport


Quantum Transport
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Author : Supriyo Datta
language : en
Publisher: Cambridge University Press
Release Date : 2005-06-16

Quantum Transport written by Supriyo Datta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-16 with Technology & Engineering categories.


This book presents the conceptual framework underlying the atomistic theory of matter, emphasizing those aspects that relate to current flow. This includes some of the most advanced concepts of non-equilibrium quantum statistical mechanics. No prior acquaintance with quantum mechanics is assumed. Chapter 1 provides a description of quantum transport in elementary terms accessible to a beginner. The book then works its way from hydrogen to nanostructures, with extensive coverage of current flow. The final chapter summarizes the equations for quantum transport with illustrative examples showing how conductors evolve from the atomic to the ohmic regime as they get larger. Many numerical examples are used to provide concrete illustrations and the corresponding Matlab codes can be downloaded from the web. Videostreamed lectures, keyed to specific sections of the book, are also available through the web. This book is primarily aimed at senior and graduate students.



Nonequilibrium Quantum Transport Physics In Nanosystems Foundation Of Computational Nonequilibrium Physics In Nanoscience And Nanotechnology


Nonequilibrium Quantum Transport Physics In Nanosystems Foundation Of Computational Nonequilibrium Physics In Nanoscience And Nanotechnology
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Author : Felix A Buot
language : en
Publisher: World Scientific
Release Date : 2009-08-05

Nonequilibrium Quantum Transport Physics In Nanosystems Foundation Of Computational Nonequilibrium Physics In Nanoscience And Nanotechnology written by Felix A Buot and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-05 with Technology & Engineering categories.


This book presents the first comprehensive treatment of discrete phase-space quantum mechanics and the lattice Weyl-Wigner formulation of energy band dynamics, by the originator of these theoretical techniques. The author's quantum superfield theoretical formulation of nonequilibrium quantum physics is given in real time, without the awkward use of artificial time contour employed in previous formulations. These two main quantum theoretical techniques combine to yield general (including quasiparticle-pairing dynamics) and exact quantum transport equations in phase-space, appropriate for nanodevices. The derivation of transport formulas in mesoscopic physics from the general quantum transport equations is also treated. Pioneering nanodevices are discussed in the light of the quantum-transport physics equations, and an in-depth treatment of the physics of resonant tunneling devices is given. Operator Hilbert-space methods and quantum tomography are discussed. Discrete phase-space quantum mechanics on finite fields is treated for completeness and by virtue of its relevance to quantum computing. The phenomenological treatment of evolution superoperator and measurements is given to help clarify the general quantum transport theory. Quantum computing and information theory is covered to demonstrate the foundational aspects of discrete quantum dynamics, particularly in deriving a complete set of multiparticle entangled basis states.



Theory Of Electron Transport In Semiconductors


Theory Of Electron Transport In Semiconductors
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Author : Carlo Jacoboni
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-05

Theory Of Electron Transport In Semiconductors written by Carlo Jacoboni and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-05 with Science categories.


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.



Theory Of Quantum Transport In Metallic And Hybrid Nanostructures


Theory Of Quantum Transport In Metallic And Hybrid Nanostructures
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Author : Andreas Glatz
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-26

Theory Of Quantum Transport In Metallic And Hybrid Nanostructures written by Andreas Glatz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-26 with Science categories.


The book reflects scientific developments in the physics of metallic compound based nanodevices presented at the NATO-sponsored Workshop on nanophysics held in Russia in the summer of 2003. The program tackles the most appealing problems. It brings together specialists and provides an opportunity for young researchers from the partner countries to interact with them and get actively involved in the most attractive and promising interdisciplinary area of contemporary condensed matter physics.



Quantum Transport


Quantum Transport
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Author : Yuli V. Nazarov
language : en
Publisher: Cambridge University Press
Release Date : 2009-05-28

Quantum Transport written by Yuli V. Nazarov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-28 with Science categories.


Quantum transport is a diverse field, sometimes combining seemingly contradicting concepts - quantum and classical, conduction and insulating - within a single nanodevice. Quantum transport is an essential and challenging part of nanoscience, and understanding its concepts and methods is vital to the successful fabrication of devices at the nanoscale. This textbook is a comprehensive introduction to the rapidly developing field of quantum transport. The authors present the comprehensive theoretical background, and explore the groundbreaking experiments that laid the foundations of the field. Ideal for graduate students, each section contains control questions and exercises to check readers' understanding of the topics covered. Its broad scope and in-depth analysis of selected topics will appeal to researchers and professionals working in nanoscience.



Transport In Multilayered Nanostructures The Dynamical Mean Field Theory Approach Second Edition


Transport In Multilayered Nanostructures The Dynamical Mean Field Theory Approach Second Edition
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Author : James K Freericks
language : en
Publisher: World Scientific
Release Date : 2016-03-15

Transport In Multilayered Nanostructures The Dynamical Mean Field Theory Approach Second Edition written by James K Freericks and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-15 with Science categories.


Over the last 25 years, dynamical mean-field theory (DMFT) has emerged as one of the most powerful new developments in many-body physics. Written by one of the key researchers in the field, this book presents the first comprehensive treatment of this ever-developing topic. Transport in Mutlilayered Nanostructures is varied and modern in its scope, and:A series of over 50 problems help develop the skills to allow readers to reach the level of being able to contribute to research. This book is suitable for an advanced graduate course in DMFT, and for individualized study by graduate students, postdoctoral fellows and advanced researchers wishing to enter the field.



Quantum Kinetics In Transport And Optics Of Semiconductors


Quantum Kinetics In Transport And Optics Of Semiconductors
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Author : Hartmut Haug
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-10

Quantum Kinetics In Transport And Optics Of Semiconductors written by Hartmut Haug and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-10 with Science categories.


Nanoscale miniaturization and femtosecond laser-pulse spectroscopy require a quantum mechanical description of the carrier kinetics that goes beyond the conventional Boltzmann theory. On these extremely short length and time scales, the electrons behave as do partially coherent waves. This monograph deals with quantum kinetics for transport in low-dimensional microstructures and for ultra-short laser pulse spectroscopy. The nonequilibrium Green function theory is described and used for the derivation of the quantum kinetic equations. Numerical methods for the solution of the retarded quantum kinetic equations are discussed and results are presented for high-field transport and for mesoscopic transport phenomena. Quantum beats, polarization decay, and non-Markovian behaviour are treated for femtosecond spectroscopy on a microscopic basis. 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, such as molecular electronics, noise calculations, build-up of screening and polaron correlations, and non-Markovian relaxation, among others. Connection to recent experiments is made, and it is emphasized how the quantum kinetic theory is essential in their interpretation.