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9783540669562

Electronic Conduction in Oxides

by ; ; ; ; ; ;
  • ISBN13:

    9783540669562

  • ISBN10:

    3540669566

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2000-11-01
  • Publisher: Springer Verlag
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Supplemental Materials

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Summary

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.

Table of Contents

Introduction
1(5)
Introduction to Electronic States in Oxides and an Overview of Transport Properties
5(52)
Atoms in a Ligand Field
5(5)
Electronic Energy Bands
10(1)
Electron-Electron Interaction
10(1)
Direct Interaction
10(1)
Indirect Interaction
11(1)
Electron-Phonon Interaction
11(4)
The Adiabatic Approximation
11(1)
The Frohlich Model, the Deformation Potential and the Simple Metal
12(1)
Polarons
13(2)
Randomness
15(1)
Anderson Localization
15(1)
Variable Range Hopping
15(1)
The Seebeck Coefficient and Hall Mobility
16(1)
Magnetic Susceptibility
17(2)
Metal-Insulator Transition (MIT)
19(19)
Good Conductors
38(19)
The NaCl Structure
40(4)
The Corundum Structure
44(1)
The Rutile Structure
45(2)
The Perovskite Structure
47(5)
The K2NiF4 Structure
52(1)
ReO3 and MxWO3
52(1)
Pyrochlores A2B2O7-x
53(1)
Spinels
54(1)
Low-Dimensional Oxides
55(2)
Theories for Many-Electron Systems with Strong Electron-Phonon and Interelectron Coulombic Interactions
57(62)
Single-Body Problems in Strongly Coupled Electron-Phonon Systems
60(7)
Electrons, Phonons and Their Couplings
60(1)
Weak Coupling and Large Polarons
61(1)
Strong Coupling, Self-Trapping, Broken Symmetry and Dimensionality
62(3)
Dynamics of Self-Trapping
65(2)
Two-Body Problems in Strongly Coupled Electron-Phonon Systems
67(4)
Bipolarons
67(2)
Charge Separation of Self-Trapped Exciton
69(2)
Excitons and Solitons in One-Dimensional Charge Density Wave States
71(12)
Phase Diagram of the Ground State
74(2)
Nonlinear Lattice Relaxation and Proliferations of Excitons in One-Dimensional CDW
76(2)
One-Dimensional Extended Peierls-Hubbard Model
78(2)
Relaxation in One-Dimensional CDW
80(3)
Direct and Indirect Excitons in Three-Dimensional CDW State
83(4)
Three-Dimensional Extended Peierls-Hubbard Model for BaBiO3
85(1)
Direct and Indirect Excitons
85(2)
Competition Between Superconductivity and CDW State
87(7)
The Many-Polaron System
88(2)
Phase Diagram
90(4)
Superconducting Transition Temperatures of Strongly Coupled Electron-Phonon Systems
94(4)
Expected Behaviour of Tc
94(1)
Interpolating Theory for Tc by CPA
95(3)
Many-Electron System Coupling Strongly with Nonlinear Phonons
98(9)
BCS Limit, Nonlinear Phonons and Isotope Effects
98(2)
Anharmonic Peierls-Hubbard Model
100(1)
Anharmonicity and Metal-Insulator (CDW, SDW) Transitions
101(3)
Isotope Effects and Anharmonicity by the BCS Theory
104(1)
Migdal-Eliashberg Theory
105(2)
Non-Grassmann Path Integral Theory for Long-Range Coulomb Repulsion
107(12)
Quadratic Form for Long-Range Coulomb Interaction
108(1)
Path-Integral for Both Short- and Long-Range Parts
109(1)
One-Body Green's Function Free from Grassmann Algebra
110(3)
Time-Dependent Bloch-De Dominicis Theorem
113(3)
Light Absorption Spectrum of the SDW State
116(3)
Electron-Electron Interaction and Electron Correlation
119(38)
Introduction
119(1)
Microscopic Models of Interacting Electrons
120(3)
One-Electron Theories and Electron Correlation
123(4)
Hartree-Fock Approximation
124(2)
Local Density Approximation
126(1)
Electron Correlation Effects
126(1)
Electronic Structure of Transition-Metal Ions
127(6)
Hartree-Fock Scheme
127(1)
Ligand-Field Theory
128(3)
d Bands and Carrier Doping in Mott Insulators
131(2)
Hybridization Between d and p Electrons
133(7)
Mott-Hubbard Type and Charge-Transfer Type
133(3)
Configuration-Interaction Theory
136(4)
Magnetic Interactions
140(4)
Superexchange Interaction
140(2)
Local Moment in Metals
142(2)
Correlated Metals
144(13)
Metal-Insulator Transition
144(1)
Hubbard Model
145(1)
Fermi-Liquid Properties
146(4)
Long-Range Coulomb Interaction
150(1)
Mixed Valence States
151(1)
Anderson Localization
152(5)
Representative Conducting Oxides
157(164)
ReO3: The Most Conductive dε Conductor
158(10)
Crystal Structure
158(2)
Electronic Properties
160(8)
SnO2 and TiO2: Oxide Semiconductors
168(13)
Electronic Energy Band Structure of SnO2
169(1)
Electrical Conductivity of SnO2
170(5)
Optical Properties of SnO2
175(2)
TiO2
177(4)
LiTi2O4 and LiV2O4: Weak-Coupling Superconductor and Temperature-Dependent Magnetism
181(10)
Crystal Structure
182(1)
Electronic Properties
183(2)
Superconducting Properties
185(1)
Insulating Properties: Nonzero Density of States
186(4)
LiV2O4-ZnV2O4
190(1)
WO3 and MxWO3: Large Polarons
191(8)
Structure
192(1)
Electronic Properties in the Insulating Range and the Metal-Insulator Transition
193(5)
Superconductivity and Screening of the Electron-Phonon Interaction
198(1)
MxV2O5 and MxMoO3: Low-Dimensional Oxides
199(14)
Crystal Structure of β-NaxV2O5
199(1)
Electronic Properties of Na-Vanadium Bronze
200(5)
Magnetic Properties
205(1)
Specific Heat
206(1)
EPR and NMR in NaxV2O5
207(2)
Molybdenum Bronzes
209(4)
NiO: Origin of the Band Gap and Hole Conduction
213(17)
Optical and Magnetic Properties
213(3)
Transport Properties
216(5)
Electronic Structure
221(4)
Electronic Structure of Acceptor Level
225(2)
Band Theory of Mott Insulators
227(3)
Perovskite-Type Mn Oxides: Magnetoresistance
230(13)
Crystal Structure
230(1)
Ferromagnetic Metal-Paramagnetic Insulator Transition
231(3)
Electronic Structure
234(2)
Charge and Orbital Ordering
236(1)
Polaron Effects
237(6)
Fe3O4, Verwey Transition
243(27)
Phase Diagram of the Iron-Oxygen System
244(2)
The Spinel Structure
246(2)
Verwey's Model: Order-Disorder Transformation of Fe2+ and Fe3+
248(2)
Comment by Anderson: Frustration on the B Lattice
250(2)
Transport Phenomena and the Fluctuation of Charge
252(7)
Band Structure
259(4)
Fluctuating Local Lattice Distortion and Electron-Phonon Coupling
263(5)
Itinerant Versus Localized Character of Carriers
268(2)
High-Tc Superconductors
270(51)
dγ Conductors
271(1)
La2CuO4
272(4)
La2-xMxCuO4
276(12)
YBa2Cu3O7-x
288(17)
Bi2Sr2CaCu2O8
305(16)
References 321(40)
Index 361

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