- 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
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- About this book
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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. 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.
- About the authors
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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.
- Reviews
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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)
- Table of contents (12 chapters)
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Many-Body Representation of Physical Systems
Pages 1-11
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Occupation Number Formalism
Pages 13-21
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Many-Body Operator Green Functions
Pages 23-39
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Non-Equilibrium Formalism
Pages 41-54
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Diagram Technique
Pages 55-90
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Non-Equilibrium Nano-Physics
- Book Subtitle
- A Many-Body Approach
- Authors
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- Jonas Fransson
- Series Title
- Lecture Notes in Physics
- Series Volume
- 809
- Copyright
- 2010
- Publisher
- Springer Netherlands
- Copyright Holder
- Springer Science+Business Media B.V.
- eBook ISBN
- 978-90-481-9210-6
- DOI
- 10.1007/978-90-481-9210-6
- Softcover ISBN
- 978-90-481-9209-0
- Series ISSN
- 0075-8450
- Edition Number
- 1
- Number of Pages
- XIV, 224
- Topics
