Anderson Localization and Its Ramifications: Disorder, Phase Coherence, and Electron Correlations

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Tobias Brandes, Stefan Kettemann
Springer Science & Business Media, Sep 11, 2003 - Science - 315 pages
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The phenomenon of localization of the electronic wave function in a random medium can be regarded as the key manifestation of quantum coherence in a condensed matter system. As one of the most remarkable phenomena in condensed matter physics discovered in the 20th century, the localization problem is an indispensable part of the theory of the quantum Hall effects and rivals superconductivity in its significance as a manifestation of quantum coherence at a macroscopic scale. The present volume, written by some of the leading experts in the field, is intended to highlight some of the recent progress in the field of localization, with particular emphasis on the effect of interactions on quantum coherence. The chapters are written in textbook style and should serve as a reliable and thorough introduction for advanced students or researchers already working in the field of mesoscopic physics.

 

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Contents

Numerical Investigations of Scaling at the Anderson Transition
3
Transfer Matrices and Disordered Systems
21
On the Critical Exponent of the Anderson Transition
41
Frequency Dependent Electrical Transport in the Integer
65
What Do Phase Space Methods Tell Us about Disordered
85
Section 3
92
Transfer Matrix Studies of LeftHanded Materials
99
Coherent Random Lasing and Almost Localized Photon Modes
119
Electron Dynamics in ACDriven Quantum Dots
157
Phonons and Phononic Gaps in Continuous
175
Quantum Tunneling of an Acoustic Polaron in OneDimensional
187
Critical Chaotic Spectra of One and Two Interacting Electrons
203
Superconductivity from the Repulsive Electron Interaction
219
List of Contributors
245
Spin Transport Properties of a Quantum
259
AndreevLifshitz Supersolid for a Few Electrons on Small
275

Section 2
125
Manifestations of Anderson Localization
145
Spin Blockades in the Transport through Quantum Dots
289
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