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.
Author(s): Jonas Fransson (auth.)
Series: Lecture Notes in Physics 809
Edition: 1
Publisher: Springer Netherlands
Year: 2010
Language: English
Pages: 224
Tags: Mathematical Methods in Physics;Nanotechnology;Solid State Physics;Optical and Electronic Materials;Condensed Matter Physics
Front Matter....Pages I-XIII
Many-Body Representation of Physical Systems....Pages 1-11
Occupation Number Formalism....Pages 13-21
Many-Body Operator Green Functions....Pages 23-39
Non-Equilibrium Formalism....Pages 41-54
Diagram Technique....Pages 55-90
Tunneling Current in a Single Level System....Pages 91-106
Coupling to Vibrational Mode....Pages 107-132
Nanomechanical Oscillator....Pages 133-153
Current-Voltage Asymmetries in Two Level Systems....Pages 155-169
Spin-Blockade....Pages 171-185
Detection of Exchange Interaction Through Fano-Like Interference Effects....Pages 187-201
Spin Systems in Non-Equilibrium....Pages 203-222
Back Matter....Pages 223-225
