Superconductivity and localization

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Superconductivity and localization

Автор(ы): Sadovskii M. V.

06.10.2007
Год изд.: 2000
Описание: In this book author present a review of theoretical and experimental works on the problem of mutual interplay of Anderson localization and superconductivity in strongly disordered systems. Superconductivity exists close to the metal-insulator transition in some disordered systems such as amorphous metals, superconducting compounds disordered by fast neutron irradiation etc. High-temperature superconductors are especially interesting from this point of view. Mainly bulk systems are considered, superconductor-insulator transition in purely two-dimensional disordered systems is not discussed in any detail, though nowadays it is a very active field of both experimental and theoretical research.
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Chapter 1 INTRODUCTION [1]
Chapter 2 ANDERSON LOCALIZATION AND METAL-INSULATOR TRANSITION IN DISORDERED SYSTEMS [7]
2.1 Basic Concepts of Localization [7]
2.2 Elementary Scaling Theory of Localization [13]
2.3 Self—Consistent Theory of Localization [20]
2.3.1 Isotropic Systems [20]
2.3.2 Quasi-Two-Dimensional Systems [33]
2.3.3 Self-Consistent Theory of Localization in Magnetic Field [36]
2.3.4 NMR Relaxation and Localization [40]
2.4 Phase Transition Analogy and Scaling for Correlators [44]
2.5 Interaction Effects and Anderson Transition [50]
2.5.1 Self-consistent theory with interactions [57]
2.5.2 Disorder in «Marginal» Fermi-liquid [70]
Chapter 3 SUPERCONDUCTIVITY AND LOCALIZATION: STATISTICAL MEAN-FIELD APPROACH [73]
3.1 BCS Model and Anderson Theorem [73]
3.2 Tc Degradation [79]
3.2.1 Coulomb Kernel [83]
3.2.2 Electron—Phonon Interaction [86]
3.2.3 Metallic Region [90]
3.2.4 Localization Region [93]
3.2.5 Spin Fluctuations [95]
3.2.6 Density of States Effects [97]
3.2.7 Localization and rf-wave Pairing [103]
3.3 Ginzburg-Landau Theory and Anderson Transition [117]
3.3.1 General Analysis [117]
3.3.2 Upper critical field [128]
3.3.3 Anisotropic pairing [142]
3.4 Fluctuation Conductivity Near Anderson Transition [151]
3.5 Superconductivity in Anderson Insulator at Т=0 [155]
Chapter 4 STATISTICAL FLUCTUATIONS OF SUPERCONDUCTING ORDER PARAMETER [159]
4.1 Statistical Critical Region [160]
4.2 Superconducting Transition at Strong Disorder [165]
Chapter 5 SUPERCONDUCTIVITY IN STRONGLY DISORDERED METALS: EXPERIMENT [177]
5.1 Traditional Superconductors [177]
5.2 High—(?) Superconductors [192]
Chapter 6 CONCLUSION [223]
Appendix A Spectral Densities and Criterion for Localization [227]
Appendix В Linearized Gap Equation in Disordered Systeni [231]
Appendix С Derivation of Ginzburg-Landau Coefficients [237]
Appendix D Anisotropic scattering [243]
Appendix E Instanton solution [247]
Bibliography [249]

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