Theory of Copper Oxide Superconductors (eBook)

Hiroshi Kamimura, Hideki Ushio, Shunichi Matsuno, Tsuyoshi Hamada (Autoren)

eBook Download: PDF

2005 | 2005
X, 214 Seiten
Springer Berlin (Verlag)
978-3-540-27632-6 (ISBN)

Infos

This is an advanced textbook for graduate students and researchers wishing to learn about high temperature superconductivity in copper oxides, in particular the Kamimura-Suwa (K-S) model. Because a number of models have been proposed since the discovery of high temperature superconductivity by Bednorz and Müller in 1986, the book first explains briefly the historical development that led to the K-S model. It then focuses on the physical background necessary to understand the K-S model and on the basic principles behind various physical phenomena such as electronic structures, electrical, thermal and optical properties, and the mechanism of high temperature superconductivity.

Inhalt

Preface 5
Contents 7
1 Introduction 11
Acknowledgments 16
2 Experimental Results of HighTemperature Superconducting Cuprates 18
2.1 Introduction 18
2.2 Experimental Results of Cuprates 20
3 Brief Review of Models of High-Temperature Superconducting Cuprates 24
3.1 Introduction 24
3.2 Brief Review of Theories for HTSC 26
4 Cluster Models for Hole- Doped CuO6 Octahedron and CuO5 Pyramid 37
4.1 Ligand Field Theory for the Electronic Structures of a Single Cu2+ Ion in a CuO6 Octahedron 37
4.2 Electronic Structures of a Hole- Doped CuO6 Octahedron 38
4.3 Electronic Structure of a Hole- Doped CuO5 Pyramid 38
4.4 Anti-Jahn–Teller Effect 39
4.5 Cluster Models and the Local Distortion of a Cluster by Doping Carriers 41
5 MCSCF-CI Method: Its Application to a CuO6 Octahedron Embedded in LSCO 44
5.1 Description of the Method 44
5.2 Choice of Basis Sets in the MCSCF-CI Calculations 45
5.3 Calculated Results of Hole- Doped CuO6 Octahedrons in LSCO 46
5.4 Energy Difference between Zhang–Rice Singlet (1A1g) and Hund’s Coupling Triplet (3B1g) Multiplets 48
6 Calculated Results of a Hole-Doped CuO5 Pyramid in YBa2Cu3O7-d 50
6.1 Introduction 50
6.2 Energy Difference between 1A1 and 1B1 Multiplets 51
6.3 Effect of Change Density Wave (CDW) in a Cu– O Chain 52
7 Electronic Structure of a CuO5 Pyramid in Bi2Sr2CaCu2O8+d 57
7.1 Introduction 57
7.2 Models for Calculations 57
7.3 Calculated Results 58
7.4 Remarks on Cuprates in which the Cu– Apical O Distance is Large 59
8 The Kamimura–Suwa (K–S) Model: Electronic Structure of Underdoped Cuprates 60
8.1 Description of the Model 60
8.2 Experimental Evidence in Support of the K– S Model 63
8.3 Hamiltonian for the Kamimura–Suwa Model ( The K– S Hamiltonian) 64
8.4 Concluding Remarks 66
9 Exact Diagonalization Method to Solve the K– S Hamiltonian 68
9.1 Introduction 68
9.2 Description of the Method: Lanczos Method 68
9.3 Calculated Results for the Spin- Correlation Functions 71
9.4 Calculated Results for the Orbital Correlation Functions 79
9.5 The Case of a Single Orbital State 81
9.6 Calculated Results of the Radial Distribution Function for Two Hole- Carriers 84
10 Mean-Field Approximation for the K– S Hamiltonian 87
10.1 Introduction 87
10.2 Slater–Koster Method: Its Application to LSCO 89
10.3 Computation Method to Calculate the Many- Electron Energy Bands: Its Application to LSCO 91
10.4 Computation Method Applied to YBCO Materials 96
10.5 Appendix 102
11 Calculated Results of Many- Electrons Band Structures and Fermi Surfaces 110
11.1 Introduction 110
11.2 Calculated Band Structure Including the Exchange Interaction between the Spins of Hole- Carriers and Localized Holes 110
11.3 Calculated Fermi Surface and Comparison with Experiments 113
11.4 Wavefunctions of a Hole-Carrier with Particular k Vectors and the Tight Binding (TB) Functional Form of the # 1 Conduction Band 118
11.5 Calculated Density of States 120
11.6 Remarks on the Simple Folding of the Fermi Surface into the AF Brillouin Zone 121
12 Normal State Properties of La2 xSrxCuO4 123
12.1 Introduction 123
12.2 Resistivity 124
12.3 Hall Effect 127
12.4 Electronic Entropy 129
12.5 Validity of the K–S Model in the Overdoped Region and Magnetic Properties 132
12.6 The Origin of the High-Energy Pseudogap 133
13 Electron–Phonon Interaction and Electron– Phonon Spectral Functions 140
13.1 Introduction 140
13.2 Calculation of the Electron–Phonon Coupling Constants for the Phonon Modes in LSCO 140
13.3 Calculation of the Spectral Functions for s-, p- and d- waves 144
13.4 Appendix 155
14 Mechanism of High Temperature Superconductivity 161
14.1 Introduction 162
14.2 Appearance of Repulsive Phonon-Exchange Interaction in the K– S Model 163
14.3 Suppression of Superconductivity by Finiteness of the Anti- Ferromagnetic Correlation Length 171
14.4 Strong Coupling Treatment of Conventional Superconducting System 174
14.5 Application of McMillan’s Method to the K– S Model 183
14.6 Calculated Results of the Superconducting Transition Temperature and the Isotope Effects 187
14.7 Final Remarks 192
References 193
Subject Index 202
Index 203

Produkt-Details

• Erscheint lt. Verlag: 5.12.2005
• Zusatzinfo: X, 214 p. 109 illus., 5 illus. in color.
• Verlagsort: Berlin
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: d-wave superconductivity • High-Tc copper oxides • Local lattice distortions • Non-metallic AF regions • Pseudo-polarons • Superconductor
• ISBN-10: 3-540-27632-7 / 3540276327
• ISBN-13: 978-3-540-27632-6 / 9783540276326