Theory of Fluctuations in Superconductors

Theory of Fluctuations in Superconductors
Author: Anatoly Larkin
Publisher: OUP Oxford
Total Pages: 432
Release: 2005-01-13
Genre: Science
ISBN: 0191523704

This book presents a complete encyclopedia of superconducting fluctuations, summarising 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.

Theory of Fluctuations in Superconductors

Theory of Fluctuations in Superconductors
Author: Anatoly Larkin
Publisher: OUP Oxford
Total Pages: 0
Release: 2009-06-04
Genre: Science
ISBN: 9780199564835

This book describes the theory of superconducting fluctuations, which connects two major topics in statistical physics - the theory of phase transitions and the theory of superconductivity. It presents a complete encyclopedia of superconducting fluctuations, summarising the last thirty-five years of work in the field.

Theory of Unconventional Superconductors

Theory of Unconventional Superconductors
Author: Dirk Manske
Publisher: Springer Science & Business Media
Total Pages: 244
Release: 2004-06-25
Genre: Science
ISBN: 9783540212294

This book presents a theory for unconventional superconductivity driven by spin excitations. Using the Hubbard Hamiltonian and a self-consistent treatment of the spin excitations, the interplay between magnetism and superconductivity in various unconventional superconductors is discussed. In particular, the monograph applies this theory for Cooper-pairing due to the exchange of spin fluctuations to the case of singlet pairing in hole- and electron-doped high-Tc superconductors, and to triplet pairing in Sr2RuO4. Within the framework of a generalized Eliashberg-like treatment, calculations of both many normal and superconducting properties as well as elementary excitations are performed. The results are related to the phase diagrams of the materials which reflect the interaction between magnetism and superconductivity.

The Gap Symmetry and Fluctuations in High-Tc Superconductors

The Gap Symmetry and Fluctuations in High-Tc Superconductors
Author: Julien Bok
Publisher: Springer Science & Business Media
Total Pages: 560
Release: 2006-03-07
Genre: Science
ISBN: 0306470810

Since the discovery in 1986 of high temperature superconductors by J. G. Bednorz and K. A. Müller, a considerable progress has been made and several important scientific problems have emerged. Within this NATO Advanced Study Institute our intention was to focus mainly on the controversial topic of the symmetry of the superconducting gap and given the very short coherence length, the role of fluctuations. The Institute on ‘The Gap Symmetry and Fluctuations in High- Superconductors’ took place in the “Institut d’Etudes Scientifiques de Cargèse” in Corsica, France, between 1 - 13 September 1997. The 110 participantsfrom 18 countries (yet 30 nationalities) including 23 full time lecturers, have spent two memorable weeks in this charming Mediterranean resort. All lecturers were asked to prepare pedagogical papers to clearly present the central physical idea behind specific model or experiment. The better understanding of physics of high temperature superconductivity is certainly needed to guide the development of applications of these materials in high and weak current devices.

Fluctuation Phenomena in High Temperature Superconductors

Fluctuation Phenomena in High Temperature Superconductors
Author: M. Ausloos
Publisher: Springer Science & Business Media
Total Pages: 435
Release: 2012-12-06
Genre: Science
ISBN: 9401155364

These Proceedings of a NATO-ARW (HTECH ARW 96 00 52) held at the International Center for Theoretical Physics, Trieste, Italy from Aug 5 till Aug 9, 1996 resulted from many discussions between various workers, concerning the need for a gathering of all (if possible) who were concerned about the subject of superconductivity fluctuations in High critical Temperature Superconductors (HTS). It appeared to many that the Skocpol-Tinkham work of 1975 had to be revitalized in view of the discovery of the new superconducting ceramics and the enormous amount of work having already taken place. The study of HTS is one of the most prominent research subject in solid state sciences. The understanding of the role of fluctuations is also thought to be necessary before technological applications since the fluctuations may destroy the superconducting state. The workshop discussions have touched upon (i) Superconducting fluctuations in the vicinity of the critical transition, (ii) Superconductivity fluctuations near the percolation transition, and (iii) Fluctuations of the vortex lattice at the lattice melting temperature. These topics served as initiators for a very great amount of discussions with many comments from the audience. More than forty "long lectures" and two "poster sessions" were held. Private discussions going unrecorded but obviously took place at many locations : lecture halls, staircases, cafetaria, bedrooms, bars, beach, . . .

Theory Of Superconductivity

Theory Of Superconductivity
Author: Mircea Crisan
Publisher: World Scientific
Total Pages: 312
Release: 1989-10-01
Genre: Science
ISBN: 9814531820

This book discusses the most important aspects of the theory. The phenomenological model is followed by the microscopic theory of superconductivity, in which modern formalism of the many-body theory is used to treat most important problems such as superconducting alloys, coexistence of superconductivity with the magnetic order, and superconductivity in quasi-one-dimensional systems. It concludes with a discussion on models for exotic and high temperature superconductivity. Its main aim is to review, as complete as possible, the theory of superconductivity from classical models and methods up to the 1987 results on high temperature superconductivity.

Theory of Multipole Fluctuation Mediated Superconductivity and Multipole Phase

Theory of Multipole Fluctuation Mediated Superconductivity and Multipole Phase
Author: Rina Tazai
Publisher: Springer Nature
Total Pages: 128
Release: 2021-05-18
Genre: Science
ISBN: 9811610266

A strong spin-orbit interaction and Coulomb repulsion featuring strongly correlated d- and f-electron systems lead to various exotic phase transition including unconventional superconductivity and magnetic multipole order. However, their microscopic origins are long standing problem since they could not be explained based on conventional Migdal-Eliashberg theorem. The book focuses on many-body correlation effects beyond conventional theory for the d- and f-electron systems, and theoretically demonstrates the correlations to play significant roles in “mode-coupling” among multiple quantum fluctuations, which is called U-VC here. The following key findings are described in-depth: (i) spin triplet superconductivity caused by U-VC, (ii) being more important U-VC in f-electron systems due to magnetic multipole degrees of freedom induced by a spin-orbit interaction, and (iii) s-wave superconductivity stabilized cooperatively by antiferromagnetic fluctuations and electron-phonon interaction contrary to conventional understanding. The book provides meaningful step for revealing essential roles of many-body effects behind long standing problems in strongly correlated materials.

Introduction to Unconventional Superconductivity

Introduction to Unconventional Superconductivity
Author: V.P. Mineev
Publisher: CRC Press
Total Pages: 204
Release: 1999-09-21
Genre: Science
ISBN: 9789056992095

Unconventional superconductivity (or superconductivity with a nontrivial Cooper pairing) is believed to exist in many heavy-fermion materials as well as in high temperature superconductors, and is a subject of great theoretical and experimental interest. The remarkable progress achieved in this field has not been reflected in published monographs and textbooks, and there is a gap between current research and the standard education of solid state physicists in the theory of superconductivity. This book is intended to meet this information need and includes the authors' original results.

Modern Aspects Of Superconductivity: Theory Of Superconductivity (Second Edition)

Modern Aspects Of Superconductivity: Theory Of Superconductivity (Second Edition)
Author: Sergei Kruchinin
Publisher: World Scientific
Total Pages: 306
Release: 2021-04-14
Genre: Technology & Engineering
ISBN: 9811234531

This book is devoted to superconductivity, which is one of the most interesting problems in physics. In accordance with the outline of the book, it treats the key problems in the field of superconductivity, in particular, it discusses the mechanism(s) of superconductivity. This book is useful for researchers and graduate students in the fields of solid state physics, quantum field theory, and many-body theory.

Theory Of Superconductivity

Theory Of Superconductivity
Author: J. Robert Schrieffer
Publisher: CRC Press
Total Pages: 352
Release: 2018-03-05
Genre: Science
ISBN: 0429964250

Theory of Superconductivity is primarily intended to serve as a background for reading the literature in which detailed applications of the microscopic theory of superconductivity are made to specific problems.