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Non-Equilibrium Nano-Physics

A Many-Body Approach

  • Book
  • © 2010

Overview

Authors:
  1. Jonas Fransson

    1. Dept. Physics, Uppsala University, Uppsala, Sweden

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  • Comprehensive theoretical treatment of non-equilibrium physics in nanoscale systems
  • Offers a thorough introduction to many-body operations and Green functions
  • Presents advanced theoretical methods of many body physics applied to important practical phenomena, such as electron transport in quantum dots
  • Provides access to an in-depth description of interacting nanosystems with requiring advanced knowledge of quantum mechanics

Part of the book series: Lecture Notes in Physics (LNP, volume 809)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Many-Body Representation of Physical Systems

    • Jonas Fransson
    Pages 1-11

  3. Occupation Number Formalism

    • Jonas Fransson
    Pages 13-21

  4. Many-Body Operator Green Functions

    • Jonas Fransson
    Pages 23-39

  5. Non-Equilibrium Formalism

    • Jonas Fransson
    Pages 41-54

  6. Diagram Technique

    • Jonas Fransson
    Pages 55-90

  7. Tunneling Current in a Single Level System

    • Jonas Fransson
    Pages 91-106

  8. Coupling to Vibrational Mode

    • Jonas Fransson
    Pages 107-132

  9. Nanomechanical Oscillator

    • Jonas Fransson
    Pages 133-153

  10. Current-Voltage Asymmetries in Two Level Systems

    • Jonas Fransson
    Pages 155-169

  11. Spin-Blockade

    • Jonas Fransson
    Pages 171-185

  12. Detection of Exchange Interaction Through Fano-Like Interference Effects

    • Jonas Fransson
    Pages 187-201

  13. Spin Systems in Non-Equilibrium

    • Jonas Fransson
    Pages 203-222

  14. Back Matter

    Pages 223-225
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Keywords

About this book

The aim of this book is to present a formulation of the non-equilibrium physics in nanoscale systems in terms of many-body states and operators and, in addition, discuss a diagrammatic approach to Green functions expressed by many-body states. The intention is not to give an account of strongly correlated systems as such. Thus, the focus of this book ensues from the typical questions that arise when addressing nanoscale systems from a practical point of view, e.g. current-voltage asymmetries, negative differential conductance, spin-dependent tunneling. The focus is on nanoscale systems constituted of complexes of subsystems interacting with one another, under non-equilibrium conditions, in which the local properties of the subsystems are preferably being described in terms of its (many-body) eigenstates.

Reviews

From the reviews:

“This book aims at an introductory presentation of some many-body aspects of nano-systems under non-equilibrium conditions. … Useful references are … offered at the end of each chapter, and the whole formalism is clearly illustrated through applications to simple single- and two-level systems and single-level quantum dots. … Overall, this book may be regarded as a useful and stimulating introduction to some up-to-date issues in mesoscopic physics.” (Giorgio Cattapan, Mathematical Reviews, Issue 2011 f)

Authors and Affiliations

  • Dept. Physics, Uppsala University, Uppsala, Sweden

    Jonas Fransson

About the author

Author's profile: Fransson developed a diagrammatic Green function approach to treat nanoscale many-body systems under non-equilibrium conditions; [ Phys. Rev. B 66, 195319 (2003), Phys. Rev. B 72, 075314 (2005) ]. Established a theory for asymmetries and negative differential conductance generated by strong electron correlations in nanoscale systems [ Phys. Rev. B 70, 085301 (2004) , Phys. Rev. B 69, 201304 (2004) , J. Phys.: Condens. Matter 16, L85 (2004) ]. Provided a successful theoretical description and explanation for the so-called Pauli exclusion principle spin blockade in double quantum dot systems [Phys. Rev. B73, 205333 (2006)]. Described combined nanomechanical-superconducting device that allows Cooper pair tunneling to interfere with the mechanical motion of a middle superconducting island [Phys. Rev. Lett. 101, 067202 (2008)]. In total he has published 32 peer reviewed papers which are cited ~200 times - the index is currently 8. Sources: ISI Web of Knowledge, APS, and IOP.

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