Non-Equilibrium Nano-Physics

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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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.

• Green functions
• Kadanoff and Baym
• NEGFs and MBGFs
• PED
• STEM
• current-voltage asymmetry
• electron transport in nanostructures
• interacting nanostructures
• many-body physics
• non-equilibrium formalism
• quantum dots

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)

• Dept. Physics, Uppsala University, Uppsala, Sweden

  Jonas Fransson

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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