Fransson J. Non-Equilibrium Nano-Physics. A Many-Body Approach

Springer Netherlands, 2010. — 224 p. — (Lecture Notes in Physics 809). — ISBN: 978-90-481-9210-6 (eBook), 978-90-481-9209-0 (Softcover).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.Many-Body Representation of Physical Systems.
Occupation Number Formalism.
Many-Body Operator Green Functions.
Non-Equilibrium Formalism.
Diagram Technique.
Tunneling Current in a Single Level System.
Coupling to Vibrational Mode.
Nanomechanical Oscillator.
Current-Voltage Asymmetries in Two Level Systems.
Spin-Blockade.
Detection of Exchange Interaction Through Fano-Like Interference Effects.
Spin Systems in Non-Equilibrium.