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Item Detail

Theory of High Temperature Superconductivity

Author(s): Fujita, Shigeji; Godoy, Salvador

ISBN10: 1402001495

ISBN13: 9781402001499

Cover: Hardcover

New Copy: Special Order: 1-2 Weeks

List Price ~~$193.00~~
Our Price $184.41
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The book describes all basic experimental facts about high temperature superconductivity of materials, with a critical temperature of 30 Kelvin and higher, and explains them microscopically starting with a Hamiltonian followed by step-by-step statistical mechanical calculations. All important theoretical formulas are derived without omitting steps and all basic questions are answered in a manner which is easy to understand. The book is therefore suitable as a textbook for a second-year graduate physics course. Many fresh, and some challenging, ideas are presented and researches in the field are invited to examine the text.

Introduction

Basic Properties of a Superconductor

(7)

Occurrence of a Superconductor

(2)

Theoretical Background

(4)

Elements of Kinetic Theory

(5)

Superconducting Transitions

Three Phase Transitions

(2)

Pairons Move as Massless Particles

(2)

The Bose-Einstein Condensation

(4)

Bloch Electrons

Bloch Theorem

(3)

Fermi Liquid Model

(2)

The Fermi Surface

(5)

Heat Capacity; The Density of States

(2)

Equations of Motion for a Bloch Electron

(6)

Phonon Exchange Attraction

Phonons and Lattice Dynamics

(4)

Electron-Phonon Interaction

(5)

Phonon-Exchange Attraction

(5)

Quantum Statistical Theory

Theory of Superconductivity

(2)

The Bardeen-Cooper-Schrieffer Theory

(2)

Remarks

(2)

Cooper Pairs (Pairons)

The Cooper Problem

(2)

Moving Pairons

(3)

Energy-Eigenvalue Problem for a Quasiparticle

(3)

Derivation of the Cooper Equation

(4)

Superconductors at 0 K

The Generalized BCS Hamiltonian

(5)

The Ground-State

(6)

Discussion

(7)

Quantum Statistics of Composites

Ehrenfest-Oppenheimer-Bethe's Rule

(1)

Two-Particle Composites

(6)

Discussion

102

(5)

Bose-Einstein Condensation

Free Massless Bosons Moving in 2D

107

(4)

Free Massless Bosons in 3D

111

(3)

B-E Condensation of the Pairons

114

(1)

Discussion

115

(8)

The Energy Gap Equations

Introduction

123

(1)

Energies of Quasi-electrons at 0 K

124

(2)

Energy Gap Equations at 0 K

126

(2)

Temperature-Dependent Gap Equations

128

(2)

Discussion

130

(3)

Pairon Energy Gaps and Heat Capacity

The Full Hamiltonian

133

(2)

Pairons Energy Gaps

135

(3)

Density of Condensed Pairons

138

(3)

Heat Capacity

141

(2)

Discussion

143

(4)

Quantum Tunneling

Introduction

147

(1)

Quantum Tunneling in S-I-S Systems

148

(8)

Quantum Tunneling in S1-I-S2

156

(5)

Discussion

161

(2)

Flux Quantization

Ring Supercurrent

163

(4)

Phase of a Quasi-Wavefunction

167

(3)

London's Equation. Penetration Depth

170

(5)

Quasi-Wavefunction and its Evolution

175

(2)

Discussion

177

(4)

Ginzburg-Landau Theory

Introduction

181

(2)

Derivation of the G-L Equation

183

(2)

Condensation Energy

185

(4)

Penetration Depth

189

(4)

Josephson Effects

Josephson Effects and Supercurrent Interference

193

(4)

Equations Governing a Josephson Current

197

(3)

ac Josephson Effect and Shapiro Steps

200

(4)

Discussion

204

(3)

Compound Superconductors

Introduction

207

(1)

Type II Superconductors

208

(5)

Optical Phonons

213

(3)

Discussion

216

(1)

Lattice Structures of Cuprates

Introduction

217

(1)

Layered Structures and 2-D Conduction

217

(4)

Selected Cuprate Superconductors

221

(6)

High-Tc Superconductors Below Tc

The Hamiltonian

227

(4)

The Ground State

231

(2)

High Critical Temperature

233

(2)

The Heat Capacity

235

(1)

Two Energy Gaps; Quantum Tunneling

236

(5)

Doping Dependence of Tc

Introduction

241

(1)

Critical Temperature Tc

242

(3)

Doping Dependence of Tc

245

(4)

Transport Properties Above Tc

Introduction

249

(1)

Simple Kinetic Theory

250

(5)

Data Analysis

255

(2)

Discussion

257

(2)

Out-of-Plane Transport

Introduction

259

(1)

Theory

260

(5)

Data Analysis

265

(1)

Discussion

266

(3)

Seebeck Coefficient (Thermopower)

Introduction

269

(3)

Theory

272

(3)

Discussion

275

(2)

Seebeck Coefficients in Metals

277

(2)

In-Plane Seebeck Coefficient Sab

279

(1)

Out-of-Plane Seebeck Coefficient Sc

280

(3)

Discussion

283

(2)

Magnetic Susceptibility

Introduction

285

(2)

Theory

287

(5)

Discussion

292

(3)

Infrared Hall Effect

Introduction

295

(3)

Theory and Experiments for Au

298

(4)

Theory for YBa2Cu2O7

302

(1)

Data Analysis and Discussion

303

(4)

d-Wave Cooper Pairs

Introduction

307

(1)

Phonon-Exchange Attraction

307

(2)

d-Wave pairon Formation

309

(1)

Discussion

310

(1)

Connections with Other Theories

Gorter-Cassimir's Two Fluid Model

311

(1)

London-London's Theory

312

(1)

Ginzburg-Landau Theory

313

(1)

Electron-Phonon Interaction

314

(1)

The Cooper Pair

315

(1)

BCS Theory

315

(3)

Bose-Eintein Condensation

318

(1)

Josephson Theory

319

(1)

High Temperature Superconductors

320

(1)

Quantum Hall Effect

321

(4)

Summary and Remarks

Summary

325

(4)

Remarks

329

(4)

Appendix A Second Quantization

A.1 Boson Creation and Annihilation Operators

333

(4)

A.2 Observables

337

(2)

A.3 Fermions Creation and Annihilation Operators

339

(2)

A.4 Heisenberg Equation of Motion

341

(4)

References

345

(10)

Bibliography

355

(4)

Index

359

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