Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems

by Lerner, Igor V.; Althsular, B. L.; Fal'Ko, Vladimir I.; Giamarchi, Thierry

• ISBN13: 9781402007491
• ISBN10: 1402007493
• Format: Paperback
• Copyright: 2002-11-01
• Publisher: Kluwer Academic Pub

Summary

Recent advances in material technology and low temperature techniques have led to the discovery of new physical phenomena. Situations are now routinely achieved in which the electronic system is so dominated by interactions that the old concepts of a Fermi liquid are no longer necessarily a good starting point, particularly so in the theory of low-dimensional systems. Disorder is often an unavoidable complication in such systems, leading to a host of rich physical phenomena, which has pushed the forefront of fundamental research to the point where the interplay between many-body correlations and quantum interference enhanced by disorder has become the key to understanding novel phenomena. The topics included in this volume cover many exciting surprises found in novel nanostructures and low-dimensional devices of submicron size, including quantum interference and electron-electron interactions in transport in metals, semiconductors and superconductors, theories of the Luttinger liquid of electrons in carbon nanotubes, Wigner crystals in 2-D electronic systems, the Kondo effect in quantum dots in the Coulomb blockade regime, quantum chaos in ballistic and disordered microstructures, and mesoscopic effects in superconductors. Experimental papers cover the physics of the Kondo effect in 0-D devices, transport in 1-D nanotubes, magneto-optics of skyrmions and composite fermions in the quantum Hall regime, and a possible metal-insulator transition in 2-D electron and hole gases.

Table of Contents

Preface
Zero-Dimensional Systems
The Kondo Screening Cloud	p. 1
Quantum Interferometry with Electrons: Outstanding Challenges	p. 13
Photon Assisted Tunneling in Quantum Dots	p. 43
One-Dimensional Systems
Bosonisation as the Hubbard-Stratonovich Transformation	p. 69
Quasi One-dimensional Organic Conductors: Dimensional Crossover and Some Puzzles	p. 81
Proximity Induced and Intrinsic Superconductivity in Carbon Nanotubes	p. 103
Two-Dimensional Systems
Quantum In-Plane Magnetoresistance in 2D Electron Systems	p. 117
Disordered Wigner crystals	p. 165
Magneto-optics of Composite Fermions and Skyrmions	p. 185
Metal-Insulator Transition in Dilute 2D Electron and Hole Gases	p. 219
Spectral Decomposition of Geodesic Flows on Constant Curvature Surfaces	p. 241
Systems of Any Dimensionality
Phase Coherence Phenomena in Disordered Superconductors	p. 259
Keldysh and Doi-Peliti Techniques for out-of-Equilibrium Systems	p. 313
Nonlinear Sigma Model for Disordered Media: Replica Trick for Non-Perturbative Results and Interactions	p. 341
Exact Functionals, Effective Actions and (Dynamical) Mean-Field Theories: Some Remarks	p. 375
Index	p. 395
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