Overview
- Presents a systematic step-by-step introduction into the modern methods of quantum transport theory in nanosystems
- Provides the way to choose the relevant method for the solution of particular problems by comparing different theoretical approaches
- Introduces readers to the state-of-the-art theory of transport through single molecules
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Series in Solid-State Sciences (SSSOL, volume 184)
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Table of contents (9 chapters)
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Front Matter
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Basic Concepts
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Front Matter
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Advanced Methods
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Front Matter
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Back Matter
Keywords
About this book
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.Reviews
Authors and Affiliations
Bibliographic Information
Book Title: Theory of Quantum Transport at Nanoscale
Book Subtitle: An Introduction
Authors: Dmitry Ryndyk
Series Title: Springer Series in Solid-State Sciences
DOI: https://doi.org/10.1007/978-3-319-24088-6
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-24086-2Published: 15 December 2015
Softcover ISBN: 978-3-319-79577-5Published: 27 March 2019
eBook ISBN: 978-3-319-24088-6Published: 08 December 2015
Series ISSN: 0171-1873
Series E-ISSN: 2197-4179
Edition Number: 1
Number of Pages: XII, 246
Number of Illustrations: 19 b/w illustrations, 62 illustrations in colour
Topics: Nanoscale Science and Technology, Solid State Physics, Optical and Electronic Materials, Nanotechnology