This set of extensive tutorial reviews and lectures focusses on the semi-classical and quantum aspects of percolation methods and their application to breakdown phenomena in disordered composite or granular materials. It sets out to connect - for the first time and in a coherent fashion - many recent theoretical and experimental advances in adjacent fields, such as the investigation of nonlinear current-voltage characteristics of 'quantum-dotted' materials or Zener breakdown in Mott or Anderson insulators. Last but not least, a final chapter explores the application of quantum percolation methods to the rapidly emerging field of quantum computing and communication.
Author(s): D. Stauffer (auth.), Bikas K. Chakrabarti, Kamal K. Bardhan, Asok K. Sen (eds.)
Series: Lecture Notes in Physics 762
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2009
Language: English
Pages: 326
Tags: Quantum Physics;Numerical and Computational Methods;Statistical Physics;Condensed Matter
Front Matter....Pages 1-12
Classical Percolation....Pages 1-19
Non-linear Response, Semi-Classical Percolation and Breakdown in the RRTN Model....Pages 1-62
Quantum Transmittance Through Random Media....Pages 1-25
Quantum Percolation in Two Dimensions....Pages 1-26
Quantum Percolation in Disordered Structures....Pages 1-28
Quantum Percolation in the Quantum Hall Regime....Pages 1-31
Percolative Quantum Transport in Manganites....Pages 1-32
Classical and quantum breakdown in disordered....Pages 1-24
Nonequilibrium Quantum Breakdown in a Strongly Correlated Electron System....Pages 1-35
Percolation in quantum computation and....Pages 1-33
Back Matter....Pages 1-6
