Phase transition approach to high temperature superconductivity : universal properties of cuprate superconductors / T. Schneider & J.M. Singer.

Format:

Book

Author/Creator:

Schneider, T. (Toni)

Contributor:

Singer, Joseph M.

Language:

English

Subjects (All):

High temperature superconductivity.

Copper oxide superconductors.

Semiconductors.

Physical Description:

1 online resource (444 p.)

Place of Publication:

London : Imperial College Press ; River Edge, NJ : Distributed by World Scientific Pub. Co., c2000.

Language Note:

English

Summary:

The discovery of superconductivity at 30 K by Bednorz and Müller in 1986 ignited an explosion of interest in high temperature superconductivity. The initial development rapidly evolved into an intensive worldwide research effort - which still persists after more than a decade - to understand the phenomenon of cuprate superconductivity, to search for ways to raise the transition temperature and to produce materials which have the potential for technological applications. During the past decade of research on this subject, significant progress has been made on both the fundamental science and technological application fronts. A great deal of experimental data is now available on the cuprates, and various properties have been well characterized using high quality single crystals and thin films. Despite this enormous research effort, however, the underlying mechanisms responsible for superconductivity in the cuprates are still open to question. This book offers an understanding from the phase transition point of view, surveys and identifies thermal and quantum fluctuation effects, identifies material-independent universal properties and provides constraints for the microscopic description of the various phenomena. The text is presented in a format suitable for use in a graduate level course.

Contents:

Contents; Preface; Chapter 1 Introduction; 1.1 Cuprate superconductors; 1.1.1 Structure; 1.1.2 Doping; 1.1.3 Effective mass anisotropy and spatial dimensionality; 1.1.4 Pseudogap; 1.1.5 Symmetry of the order parameter; 1.1.6 Importance of critical fluctuations; 1.2 Universal critical properties of continuous phase transitions; 1.2.1 Static critical properties at finite temperature; 1.2.2 Dynamic critical properties at finite temperature; 1.2.3 Quantum critical properties; 1.3 Finite size effect and corrections to scaling; Further reading; Chapter 2 Ginzburg - Landau phenomenology

2.1 London phenomenology2.2 Ginzburg - Landau functional; 2.3 Mean-field treatment; 2.3.1 Meissner phase; 2.3.2 Length scales: London penetration depth and correlation length; 2.3.3 Classification of superconductors; 2.3.4 Upper critical field; 2.4 Flux quantization; 2.5 London model and first flux penetration field; 2.6 Effective mass anisotropy; 2.6.1 3D anisotropic London model; Further reading; Chapter 3 Gaussian thermal fluctuations; 3.1 Gaussian fluctuations around the mean field solution; 3.2 Gaussian order parameter fluctuations; 3.3 Gaussian vector potential fluctuations

3.4 Relevance of vector potential fluctuations3.5 Helicity modulus; 3.6 Effective mass anisotropy; 3.7 Fluctuation induced diamagnetism; 3.7.1 Isotropic system; 3.7.2 Effective mass anisotropy; 3.7.3 Magnetic torque; Further reading; Chapter 4 Superfluidity and the n-vector model; 4.1 Ideal Bose gas; 4.2 Charged Bose gas subjected to a magnetic field; 4.3 Weakly interacting Bose gas; 4.4 Hydrodynamic approach; 4.5 The n-vector model; Further reading; Chapter 5 Universality and scaling theory of classical critical phenomena at finite temperature

5.1 Static critical phenomena in isotropic systems5.2 Superconductors with effective mass anisotropy; 5.3 Dimensional analysis; 5.3.1 Static critical properties; 5.3.2 Classical dynamic critical phenomena; 5.4 Implications of the universal critical amplitude relations; Further reading; Chapter 6 Experimental evidence for classical critical behavior; 6.1 Critical behavior close to optimum doping; 6.1.1 Specific heat in zero field; 6.1.2 Temperature dependence of the penetration depth; 6.1.3 Corrections to scaling; 6.1.4 Temperature dependence of the diamagnetic susceptibility

6.1.5 Scaling of the magnetization6.1.6 Crossing point phenomenon; 6.1.7 Magnetic torque and universal scaling function; 6.1.8 Magnetic field tuned phase transitions: Melting transition; 6.1.9 Magnetic field tuned phase transitions: Superconductor - normal conductor and insulator transitions; 6.1.10 Evidence for a Kosterlitz - Thouless - Berezinskii transition in thin films; 6.1.11 Temperature driven 2D to 3D crossover; 6.2 Doping dependence of the critical behavior; 6.3 Evidence for dynamic scaling; 6.4 Vortex glass to vortex fluid transition

6.5 The (H,T) phase diagram of extreme type II superconductors emerging from Monte Carlo simulations

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 411-426) and index.

ISBN:

9781848160132

1848160135

OCLC:

922951778