Theory of Quantum Transport at Nanoscale

An Introduction

  • Dmitry Ryndyk

Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 184)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Dmitry A. Ryndyk
    Pages 1-14
  3. Basic Concepts

    1. Front Matter
      Pages 15-15
    2. Dmitry A. Ryndyk
      Pages 17-54
    3. Dmitry A. Ryndyk
      Pages 55-97
    4. Dmitry A. Ryndyk
      Pages 99-121
    5. Dmitry A. Ryndyk
      Pages 149-170
  4. Advanced Methods

    1. Front Matter
      Pages 171-171
    2. Dmitry A. Ryndyk
      Pages 173-205
    3. Dmitry A. Ryndyk
      Pages 207-220
    4. Dmitry A. Ryndyk
      Pages 221-243
  5. Back Matter
    Pages 245-246

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.


Coherent Transport Nonequilibrium Green Functions Quantum Transport Single Molecule Devices Single-molecule Electronics Single-molecule Electronics Single-molecule Transport Time-dependent Transport Vibrons and Polarons ab initio Transport Theory

Authors and affiliations

  • Dmitry Ryndyk
    • 1
  1. 1.Institute for Materials ScienceTU DresdenDresdenGermany

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-24086-2
  • Online ISBN 978-3-319-24088-6
  • Series Print ISSN 0171-1873
  • Series Online ISSN 2197-4179
  • About this book