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E-raamat: Superconductivity and Localization [World Scientific e-raamat]

(Russian Academy Of Sci, Russia)
  • Formaat: 272 pages
  • Ilmumisaeg: 21-Feb-2000
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789812793911
  • World Scientific e-raamat
  • Hind: 164,47 €*
  • * hind, mis tagab piiramatu üheaegsete kasutajate arvuga ligipääsu piiramatuks ajaks
  • Formaat: 272 pages
  • Ilmumisaeg: 21-Feb-2000
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789812793911
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.
Preface v
Introduction
1(6)
Anderson Localization and Metalinsulator Transition in Disordered Systems
7(66)
Basic Concepts of Localization
7(6)
Elementary Scaling Theory of Localization
13(7)
Self---Consistent Theory of Localization
20(24)
Isotropic Systems
20(13)
Quasi- Two-Dimensional Systems
33(3)
Self-Consistent Theory of Localization in Magnetic Field
36(4)
NMR Relaxation and Localization
40(4)
Phase Transition Analogy and Scaling for Correlators
44(6)
Interaction Effects and Anderson Transition
50(23)
Self-consistent theory with interactions
57(13)
Disorder in ``Marginal'' Fermi-liquid
70(3)
Superconductivity and Localization: Statistical Mean-Field Approach
73(86)
BCS Model and Anderson Theorem
73(6)
Tc Degradation
79(38)
Coulomb Kernel
83(3)
Electron---Phonon Interaction
86(4)
Metallic Region
90(3)
Localization Region
93(2)
Spin Fluctuations
95(2)
Density of States Effects
97(6)
Localization and d-wave Pairing
103(14)
Ginzburg-Landau Theory and Anderson Transition
117(34)
General Analysis
117(11)
Upper critical field
128(14)
Anisotropic pairing
142(9)
Fluctuation Conductivity Near Anderson Transition
151(4)
Superconductivity in Anderson Insulator at T = 0
155(4)
Statistical Fluctuations of Super-Conducting Order Parameter
159(18)
Statistical Critical Region
160(5)
Superconducting Transition at Strong Disorder
165(12)
Superconductivity in Strongly Disordered Metals: Experiment
177(46)
Traditional Superconductors
177(15)
High---Tc Superconductors
192(31)
Conclusion
223(4)
Appendix A Spectral Densities and Criterion for Localization 227(4)
Appendix B Linearized Gap Equation in Disordered System 231(6)
Appendix C Derivation of Ginzburg-Landau Coefficients 237(6)
Appendix D Anisotropic scattering 243(4)
Appendix E Instanton solution 247(2)
Bibliography 249