Theory of Fluctuations in Superconductors

by Anatoly Larkin, Andrei Varlamov

Overview

This book presents a complete encyclopedia of superconducting fluctuations, summarizing the last thirty-five years of work in the field. The first part of the book is devoted to an extended discussion of the Ginzburg-Landau phenomenology of fluctuations in its thermodynamical and time-dependent versions and its various applications. The second part deals with microscopic justification of the Ginzburg-Landau approach and presents the diagrammatic theory of fluctuations. The third part is devoted to a less-detailed review of the manifestation of fluctuations in observables: diamagnetism, magnetoconductivity, various tunneling characteristics, thermoelectricity, and NMR relaxation. The final chapters turn to the manifestation of fluctuations in unconventional superconducting systems: nanodrops, nanorings, Berezinsky-Kosterlitz-Thouless state, quantum phase transition between superconductor and insulator, and thermal and quantum fluctuations in weak superconducting systems. The book ends with a brief discussion on theories of high temperature superconductivity, where fluctuations appear as the possible protagonist of this exciting phenomenon.

Product Details

ISBN-13:	9780198528159
Publisher:	Oxford University Press
Publication date:	03/17/2005
Series:	International Series of Monographs on Physics , #127
Pages:	432
Product dimensions:	9.48(w) x 6.36(h) x 1.08(d)

About the Author

Anatoly Larkin is William I. Fine and Bianca Chair in Theoretical Physics at the University of Minnesota as well as a principal researcher at the Landau Institute for Theoretical Physics in Russia. Andrei Varlamov is a principal researcher at COHERENTIA-INFM in Rome.

Table of Contents

Phenomenology of fluctuations: Ginzburg-Landau formalism1. Introduction2. Fluctuation thermodynamics3. Fluctuation transport4. Fluctuations in vortex structuresBasic notions of the microscopic theory5. Microscopic derivation of the TDGL equation6. Microscopic derivation of the Ginzburg Landau functional7. Microscopic theory of fluctuation conductivityManifestation of fluctuations in observables8. Fluctuations in magnetic field9. Density of states and tunneling10. Effect of fluctuations on thermoelectricity and heat transport11. Spin susceptibility and NMRFluctuations in nanostructures and unconventional superconducting systems12. Fluctuations in nanograins, nanodrops and granular superconductors13. Fluctuations in Josephson junctions14. Phase slip events15. Phase fluctuations in two-dimensional superconducting systems16. Fluctuations near superconductor-insulator transition17. Role of fluctuations in high-temperature superconductivity18. Appendices19. Glossary

Editorial Reviews

"The different chapters are well-organized and well-written resulting in an easy reading and comprehension of the ideas presented."—Journal of Statistical Physics

From the Publisher