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Author:   Jonas Fransson ,  Fransson
Publisher:   Springer
Imprint:   Springer
Edition:   2010
Volume:   809
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.760kg
ISBN:  

9789048192090

ISBN 10:   9048192099
Pages:   224
Publication Date:   05 July 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 Many-body representation of physical systems.- 1.1 Many-body states.- 1.2 Two-level system.- 1.3 Many-body operators.- 1.4 Transition matrix elements.- References.- 2 Occupation number formalism.- 2.1 Perturbing the local levels.- 2.2 Occupations numbers.- 2.3 Single-level system.- 2.4 Two-level system in the Pauli spin blockade.- References.- 3 Many-body operator Green functions.- 3.1 Basic definitions.- 3.2 Equilibrium.- 3.3 Contour ordering.- 3.4 Single-level system.- References.- 4 Non-equilibrium formalism.- 4.1 Occupation number approach.- 4.2 Two-level system: Pauli spin-blockade.- 4.3 Green function approach.- 4.4 Non-equilibrium Green functions.- 4.5 Single-level quantum dot.- References.- 5 Diagram technique.- 5.1 Decoupling procedure.- 5.2 Expansion using functional derivatives.- 5.3 Single-level quantum dot.- 5.4 Current-voltage asymmetry.- References.- 6 Collection of physical examples.- 6.1 Spin-filtering.- 6.2 Current-voltage asymmetry in double quantum dots.- 6.3 Detection of exchange interaction through Fano-like interference effects.- 6.4 Non-equilibrium triplet blockade in T-shaped double quantum dot.- 6.5 Formation of pure triplet in double quantum dot.- References.- 7 Spin system.- 7.1 Equation for local spin >.- 7.2 Dynamics of local spin: semi-classical approach.- 7.3 Signatures of the local spin in the transport.- References.

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)

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)

Author Information

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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