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Transition Metal Compounds

Book Description

Describing all aspects of the physics of transition metal compounds, this book provides a comprehensive overview of this unique and diverse class of solids. Beginning with the basic concepts of the physics of strongly correlated electron systems, the structure of transition metal ions, and the behaviours of transition metal ions in crystals, it goes on to cover more advanced topics such as metal-insulator transitions, orbital ordering, and novel phenomena such as multiferroics, systems with oxygen holes, and high-Tc superconductivity. Each chapter concludes with a summary of key facts and concepts, presenting all the most important information in a consistent and concise manner. Set within a modern conceptual framework, and providing a complete treatment of the fundamental factors and mechanisms that determine the properties of transition metal compounds, this is an invaluable resource for graduate students, researchers and industrial practitioners in solid state physics and chemistry, materials science, and inorganic chemistry.

Table of Contents

  1. Cover
  2. Half-title page
  3. Title page
  4. Copyright page
  5. Contents
  6. Introduction
  7. 1. Localized and itinerant electrons in solids
    1. 1.1 Itinerant electrons, band theory
    2. 1.2 Hubbard model and Mott insulators
    3. 1.3 Magnetism of Mott insulators
    4. 1.4 Interplay of electronic motion and magnetism in Mott insulators
    5. 1.5 Doped Mott insulators
    6. S.1 Summary of Chapter 1
  8. 2. Isolated transition metal ions
    1. 2.1 Elements of atomic physics
    2. 2.2 Hund’s rules
    3. 2.3 Spin–orbit interaction
    4. S.2 Summary of Chapter 2
  9. 3. Transition metal ions in crystals
    1. 3.1 Crystal field splitting
    2. 3.2 Jahn–Teller effect for isolated transition metal ions
    3. 3.3 High-spin vs low-spin states
    4. 3.4 Role of spin–orbit coupling
    5. 3.5 Some general principles of the formation of typical crystal structures of transition metal compounds
    6. S.3 Summary of Chapter 3
  10. 4. Mott–Hubbard vs charge-transfer insulators
    1. 4.1 Charge-transfer insulators
    2. 4.2 Exchange interaction in charge-transfer insulators
    3. 4.3 Systems with small or negative charge-transfer gap
    4. 4.4 Zhang–Rice singlets
    5. S.4 Summary of Chapter 4
  11. 5. Exchange interaction and magnetic structures
    1. 5.1 Superexchange in insulators and Goodenough–Kanamori–Anderson rules
    2. 5.2 Double exchange
    3. 5.3 Role of spin–orbit interaction: magnetic anisotropy, magnetostriction, and weak ferromagnetism
    4. 5.4 Systems with unquenched orbital moments
    5. 5.5 Singlet magnetism
    6. 5.6 Magnetic ordering in some typical situations
    7. 5.7 Frustrated magnets
    8. 5.8 Different magnetic textures
    9. 5.9 Spin-state transitions
    10. S.5 Summary of Chapter 5
  12. 6. Cooperative Jahn–Teller effect and orbital ordering
    1. 6.1 Cooperative Jahn–Teller effect and orbital ordering in e[sub(g)] systems
    2. 6.2 Reduction of dimensionality due to orbital ordering
    3. 6.3 Orbitals and frustration
    4. 6.4 Orbital excitations
    5. 6.5 Orbital effects for t[sub(2g)]-electrons
    6. 6.6 Quantum effects in orbitals
    7. S.6 Summary of Chapter 6
  13. 7. Charge ordering in transition metal compounds
    1. 7.1 Charge ordering in half-doped systems
    2. 7.2 Charge ordering away from half-filling
    3. 7.3 Charge ordering vs charge density waves
    4. 7.4 Charge ordering in frustrated systems: Fe[sub(3)]O[sub(4)] and similar
    5. 7.5 Spontaneous charge disproportionation
    6. S.7 Summary of Chapter 7
  14. 8. Ferroelectrics, magnetoelectrics, and multiferroics
    1. 8.1 Different types of ferroelectrics
    2. 8.2 Magnetoelectric effect
    3. 8.3 Multiferroics: materials with a unique combination of magnetic and electric properties
    4. 8.4 “Multiferroic-like” effects in other situations
    5. S.8 Summary of Chapter 8
  15. 9. Doping of correlated systems; correlated metals
    1. 9.1 Nondegenerate Hubbard model at arbitrary band filling
    2. 9.2 Representative doped transition metal oxides
    3. 9.3 Doped Mott insulators: ordinary metals?
    4. 9.4 Magnetic properties of doped strongly correlated systems
    5. 9.5 Other specific phenomena in doped strongly correlated systems
    6. 9.6 Superconductivity in strongly correlated systems
    7. 9.7 Phase separation and inhomogeneous states
    8. 9.8 Films, surfaces, and interfaces
    9. S.9 Summary of Chapter 9
  16. 10. Metal–insulator transitions
    1. 10.1 Different types of metal–insulator transitions
    2. 10.2 Examples of metal–insulator transitions in systems with correlated electrons
    3. 10.3 Theoretical description of Mott transitions
    4. 10.4 Insulator–metal transitions for different electronic configurations
    5. 10.5 Insulator–metal transitions in Mott–Hubbard and charge-transfer insulators
    6. 10.6 Formation of molecular clusters and “partial” Mott transitions
    7. 10.7 Mott transition: a normal phase transition?
    8. S.10 Summary of Chapter 10
  17. 11. Kondo effect, mixed valence, and heavy fermions
    1. 11.1 Basic features of f -electron systems
    2. 11.2 Localized magnetic moments in metals
    3. 11.3 Kondo effect
    4. 11.4 Heavy fermions and mixed valence
    5. S.11 Summary of Chapter 11
  18. Appendix A: Some historical notes
    1. A.1 Mott insulators and Mott transitions
    2. A.2 Jahn–Teller effect
    3. A.3 Peierls transition
  19. Appendix B: A layman’s guide to second quantization
  20. Appendix C: Phase transitions and free energy expansion: Landau theory in a nutshell
    1. C.1 General theory
    2. C.2 Dealing with the Landau free energy functional
    3. C.3 Some examples
  21. References
  22. Index