Springer Solid-State Sciences

By: N. Tsuda, Keiichiro Nasu, A. Fujimori

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Hardcover | 27 September 2000 | Edition Number 2

At a Glance

Hardcover
386 Pages

Edition Type
Revised

Dimensions(cm)
24.13 x 15.88 x 2.54

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This book is intended for postgraduate students, researchers and engineers engaged in research into oxide conductors. It presents an overview of electronic transport phenomena, including a discussion of high-Tc superconductivity and colossal magnetoresistance in two chapters, one of which reviews all the conducting oxides. In another nine chapters representative oxides are discussed in detail. Since electron-electron and electron-phonon interactions greatly influence conducting properties, two chapters are devoted to their explanation. More than 1200 references will serve as a useful guide to those entering into this vast field of research.

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Non-Fiction Engineering & Technology Mechanical Engineering & Materials Materials Science Science Physics Electricity Electronics & Communications Engineering Electronics Engineering Electronic Devices & Materials Semi-Conductors & Super-Conductors Chemistry

Physical Chemistry Solid State Chemistry Energy Technology & Engineering Electrical Engineering

Introduction	p. 1
Introduction to Electronic States in Oxides and an Overview of Transport Properties	p. 5
Atoms in a Ligand Field	p. 5
Electronic Energy Bands	p. 10
Electron-Electron Interaction	p. 10
Direct Interaction	p. 10
Indirect Interaction	p. 11
Electron-Phonon Interaction	p. 11
The Adiabatic Approximation	p. 11
The Fröhlich Model, the Deformation Potential and the Simple Metal	p. 12
Polarons	p. 13
Randomness	p. 15
Anderson Localization	p. 15
Variable Range Hopping	p. 15
The Seebeck Coefficient and Hall Mobility	p. 16
Magnetic Susceptibility	p. 17
Metal-Insulator Transition (MIT)	p. 19
Good Conductors	p. 38
The NaCl Structure	p. 40
The Corundum Structure	p. 44
The Rutile Structure	p. 45
The Perovskite Structure	p. 47
The K₂NiF₄ Structure	p. 52
ReO₃ and M_x WO₃	p. 52
Pyrochlores A₂B₂O_7-x	p. 53
Spinels	p. 54
Low-Dimensional Oxides	p. 55
Theories for Many-Electron Systems with Strong Electron-Phonon and Interelectron Coulombic Interactions	p. 57
Single-Body Problems in Strongly Coupled Electron-Phonon Systems	p. 60
Electrons, Phonons and Their Couplings	p. 60
Weak Coupling and Large Polarons	p. 61
Strong Coupling, Self-Trapping, Broken Symmetry and Dimensionality	p. 62
Dynamics of Self-Trapping	p. 65
Two-Body Problems in Strongly Coupled Electron-Phonon Systems	p. 67
Bipolarons	p. 67
Charge Separation of Self-Trapped Exciton	p. 69
Excitons and Solitons in One-Dimensional Charge Density Wave States	p. 71
Phase Diagram of the Ground State	p. 74
Nonlinear Lattice Relaxation and Proliferations of Excitons in One-Dimensional CDW	p. 76
One-Dimensional Extended Peierls-Hubbard Model	p. 78
Relaxation in One-Dimensional CDW	p. 80
Direct and Indirect Excitons in Three-Dimensional CDW State	p. 83
Three-Dimensional Extended Peierls-Hubbard Model for BaBiO₃	p. 85
Direct and Indirect Excitons	p. 85
Competition Between Superconductivity and CDW State	p. 87
The Many-Polaron System	p. 88
Phase Diagram	p. 90
Superconducting Transition Temperatures of Strongly Coupled Electron-Phonon Systems	p. 94
Expected Behaviour of T_c	p. 94
Interpolating Theory for T_c by CPA	p. 95
Many-Electron System Coupling Strongly with Nonlinear Phonons	p. 98
BCS Limit, Nonlinear Phonons and Isotope Effects	p. 98
Anharmonic Peierls-Hubbard Model	p. 100
Anharmonicity and Metal-Insulator (CDW, SDW) Transitions	p. 101
Isotope Effects and Anharmonicity by the BCS Theory	p. 104
Migdal-Eliashberg Theory	p. 105
Non-Grassmann Path Integral Theory for Long-Range Coulomb Repulsion	p. 107
Quadratic Form for Long-Range Coulomb Interaction	p. 108
Path-Integral for Both Short- and Long-Range Parts	p. 109
One-Body Green's Function Free from Grassmann Algebra	p. 110
Time-Dependent Bloch-De Dominicis Theorem	p. 113
Light Absorption Spectrum of the SDW State	p. 116
Electron-Electron Interaction and Electron Correlation	p. 119
Introduction	p. 119
Microscopic Models of Interacting Electrons	p. 120
One-Electron Theories and Electron Correlation	p. 123
Hartree-Fock Approximation	p. 124
Local Density Approximation	p. 126
Electron Correlation Effects	p. 126
Electronic Structure of Transition-Metal Ions	p. 127
Hartree-Fock Scheme	p. 127
Ligand-Field Theory	p. 128
d Bands and Carrier Doping in Mott Insulators	p. 131
Hybridization Between d and p Electrons	p. 133
Mott-Hubbard Type and Charge-Transfer Type	p. 133
Configuration-Interaction Theory	p. 136
Magnetic Interactions	p. 140
Superexchange Interaction	p. 140
Local Moment in Metals	p. 142
Correlated Metals	p. 144
Metal-Insulator Transition	p. 144
Hubbard Model	p. 145
Fermi-Liquid Properties	p. 146
Long-Range Coulomb Interaction	p. 150
Mixed Valence States	p. 151
Anderson Localization	p. 152
Representative Conducting Oxides	p. 157
ReO₃: The Most Conductive d¿ Conductor	p. 158
Crystal Structure	p. 158
Electronic Properties	p. 160
SnO₂ and TiO₂: Oxide Semiconductors	p. 168
Electronic Energy Band Structure of SnO₂	p. 169
Electrical Conductivity of SnO₂	p. 170
Optical Properties of SnO₂	p. 175
TiO₂	p. 177
LiTi₂O₄ and LiV₂O₄: Weak-Coupling Superconductor and Temperature-Dependent Magnetism	p. 181
Crystal Structure	p. 182
Electronic Properties	p. 183
Superconducting Properties	p. 185
Insulating Properties: Nonzero Density of States	p. 186
LiV₂O₄-ZnV₂O₄	p. 190
WO₃ and M_x WO₃: Large Polarons	p. 191
Structure	p. 192
Electronic Properties in the Insulating Range and the Metal-Insulator Transition	p. 193
Superconductivity and Screening of the Electron-Phonon Interaction	p. 198
M_x V₂O₅ and M_xMoO₃: Low-Dimensional Oxides	p. 199
Crystal Structure of ß-Na_xV₂O₅	p. 199
Electronic Properties of Na-Vanadium Bronze	p. 200
Magnetic Properties	p. 205
Specific Heat	p. 206
EPR and NMR in Na_x V₂O₅	p. 207
Molybdenum Bronzes	p. 209
NiO: Origin of the Band Gap and Hole Conduction	p. 213
Optical and Magnetic Properties	p. 213
Transport Properties	p. 216
Electronic Structure	p. 221
Electronic Structure of Acceptor Level	p. 225
Band Theory of Mott Insulators	p. 227
Perovskite-Type Mn Oxides: Magnetoresistance	p. 230
Crystal Structure	p. 230
Ferromagnetic Metal-Paramagnetic Insulator Transition	p. 231
Electronic Structure	p. 234
Charge and Orbital Ordering	p. 236
Polaron Effects	p. 237
Fe₃O₄, Verwey Transition	p. 243
Phase Diagram of the Iron-Oxygen System	p. 244
The Spinel Structure	p. 246
Verwey's Model: Order-Disorder Transformation of Fe²⁺ and Fe³⁺	p. 248
Comment by Anderson: Frustration on the B Lattice	p. 250
Transport Phenomena and the Fluctuation of Charge	p. 252
Band Structure	p. 259
Fluctuating Local Lattice Distortion and Electron-Phonon Coupling	p. 263
Itinerant Versus Localized Character of Carriers	p. 268
High-T_c Superconductors	p. 270
d¿ Conductors	p. 271
La₂CuO₄	p. 272
La_2-xM_xCuO₄	p. 276
YBa₂Cu₃O_7-x	p. 288
Bi₂Sr₂CaCu₂O₈	p. 305
References	p. 321
Index	p. 361
Table of Contents provided by Publisher. All Rights Reserved.

Springer Solid-State Sciences

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