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Superconductivity And Localization - Michael V. Sadovskii

Superconductivity And Localization

Hardcover Published: 18th February 2000
ISBN: 9789810241933
Number Of Pages: 272

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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.

Prefacep. v
Introductionp. 1
Anderson Localization and Metalinsulator Transition in Disordered Systemsp. 7
Basic Concepts of Localizationp. 7
Elementary Scaling Theory of Localizationp. 13
Self--Consistent Theory of Localizationp. 20
Isotropic Systemsp. 20
Quasi-Two-Dimensional Systemsp. 33
Self-Consistent Theory of Localization in Magnetic Fieldp. 36
NMR Relaxation and Localizationp. 40
Phase Transition Analogy and Scaling for Correlatorsp. 44
Interaction Effects and Anderson Transitionp. 50
Self-consistent theory with interactionsp. 57
Disorder in "Marginal" Fermi-liquidp. 70
Superconductivity and Localization: Statistical Mean-Field Approachp. 73
BCS Model and Anderson Theoremp. 73
T[subscript c] Degradationp. 79
Coulomb Kernelp. 83
Electron--Phonon Interactionp. 86
Metallic Regionp. 90
Localization Regionp. 93
Spin Fluctuationsp. 95
Density of States Effectsp. 97
Localization and d-wave Pairingp. 103
Ginzburg-Landau Theory and Anderson Transitionp. 117
General Analysisp. 117
Upper critical fieldp. 128
Anisotropic pairingp. 142
Fluctuation Conductivity Near Anderson Transitionp. 151
Superconductivity in Anderson Insulator at T = 0p. 155
Statistical Fluctuations of Super-Conducting Order Parameterp. 159
Statistical Critical Regionp. 160
Superconducting Transition at Strong Disorderp. 165
Superconductivity in Strongly Disordered Metals: Experimentp. 177
Traditional Superconductorsp. 177
High--T[subscript c] Superconductorsp. 192
Conclusionp. 223
Spectral Densities and Criterion for Localizationp. 227
Linearized Gap Equation in Disordered Systemp. 231
Derivation of Ginzburg-Landau Coefficientsp. 237
Anisotropic scatteringp. 243
Instanton solutionp. 247
Bibliographyp. 249
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9789810241933
ISBN-10: 9810241933
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 272
Published: 18th February 2000
Publisher: World Scientific Publishing Co Pte Ltd
Country of Publication: SG
Dimensions (cm): 23.5 x 15.88  x 1.91
Weight (kg): 0.53

Earn 507 Qantas Points
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