Superconductivity And Localization

By: Michael V. Sadovskii

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Hardcover | 21 February 2000

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Hardcover
272 Pages

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23.5 x 15.88 x 1.91

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This book presents a review of theoretical and experimental work on the problem of the interplay of Anderson localization and superconductivity in strongly disordered systems. Superconductivity persists close to disorder-induced metal-insulator transition in a number of real systems, e.g. amorphous metals and compounds, systems disordered by fast neutron irradiation, systems with impurities, etc. High temperature superconductors are especially interesting from this point of view, as the experiments with controllable disordering may provide important clues to the nature of electronic states in these systems.The book starts with a brief discussion on modern aspects of localization theory, including the basic concept of scaling, self-consistent theory of localization and interaction effects. After that it analyzes disorder effects on Cooper pairing and superconductivity transition temperature as well as Ginzburg-Landau equations for superconductors that are close to the Anderson transition. A necessary generalization of the usual theory of "dirty" superconductors is formulated which allows one to analyze anomalies of the main superconducting properties close to disorder-induced metal-insulator transition. Finally, the book reviews a number of experiments demonstrating superconductivity close to the Anderson transition, in both traditional and high Tc superconductors.

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You Can Find This Book In

Non-Fiction Engineering & Technology Electronics & Communications Engineering Electronics Engineering Electronic Devices & Materials Semi-Conductors & Super-Conductors Science Physics Electricity Applied Physics Cryogenics Materials & States of Matter

Condensed Matter Physics including Liquid State & Solid State Physics Astrophysics Booktopia Publisher Services World Scientific Publishing

Preface	p. v
Introduction	p. 1
Anderson Localization and Metalinsulator Transition in Disordered Systems	p. 7
Basic Concepts of Localization	p. 7
Elementary Scaling Theory of Localization	p. 13
Self--Consistent Theory of Localization	p. 20
Isotropic Systems	p. 20
Quasi-Two-Dimensional Systems	p. 33
Self-Consistent Theory of Localization in Magnetic Field	p. 36
NMR Relaxation and Localization	p. 40
Phase Transition Analogy and Scaling for Correlators	p. 44
Interaction Effects and Anderson Transition	p. 50
Self-consistent theory with interactions	p. 57
Disorder in "Marginal" Fermi-liquid	p. 70
Superconductivity and Localization: Statistical Mean-Field Approach	p. 73
BCS Model and Anderson Theorem	p. 73
T[subscript c] Degradation	p. 79
Coulomb Kernel	p. 83
Electron--Phonon Interaction	p. 86
Metallic Region	p. 90
Localization Region	p. 93
Spin Fluctuations	p. 95
Density of States Effects	p. 97
Localization and d-wave Pairing	p. 103
Ginzburg-Landau Theory and Anderson Transition	p. 117
General Analysis	p. 117
Upper critical field	p. 128
Anisotropic pairing	p. 142
Fluctuation Conductivity Near Anderson Transition	p. 151
Superconductivity in Anderson Insulator at T = 0	p. 155
Statistical Fluctuations of Super-Conducting Order Parameter	p. 159
Statistical Critical Region	p. 160
Superconducting Transition at Strong Disorder	p. 165
Superconductivity in Strongly Disordered Metals: Experiment	p. 177
Traditional Superconductors	p. 177
High--T[subscript c] Superconductors	p. 192
Conclusion	p. 223
Spectral Densities and Criterion for Localization	p. 227
Linearized Gap Equation in Disordered System	p. 231
Derivation of Ginzburg-Landau Coefficients	p. 237
Anisotropic scattering	p. 243
Instanton solution	p. 247
Bibliography	p. 249
Table of Contents provided by Syndetics. All Rights Reserved.

Superconductivity And Localization

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