1 The Magnetic Susceptibility

1.1 The Magnetic Moment

1.2 The Magnetization

1.3 The Generalized Susceptibility

1.3.1 The Kramers-Kronig Relations

1.3.2 The Fluctuation-Dissipation Theorem

1.3.3 Onsager Relation

1.4 Second Quantization

1.4.1 Example:The Degenerate-Electron Gas

1.4.2 Example:The Zeeman Interaction

2 The Magnetic Hamiltonian

2.1 The Dirac Equation

2.2 Sources of Fields

2.2.1 Uniform External Field

2.2.2 The Electric Quadrupole Field

2.2.3 The Magnetic Dipole(Hyperfine)Field

2.2.4 Other Electrons on the Same Ion

2.2.5 Crystalline Electric Fields

2.2.6 Dipole-Dipole Interaction

2.2.7 Direct Exchange

2.2.8 Superexchange

2.2.9 Molecular Magnets

2.2.10 Double Exchange

2.2.11 Exchange on a Surface

2.3 The Spin Hamiltonian

2.3.1 Transition-Metal Ions

2.3.2 Rare-Earth Ions

2.3.3 Semiconductors

3 The Static Susceptibility of Noninteracting Systems

3.1 Localized Moments

3.1.1 Diamagnetism

3.1.2 Paramagnetism of Transition-Metal Ions

3.1.3 Paramagnetism of Rare-Earth Ions

3.2 Metals

3.2.1 Landau Diamagnetism

3.2.2 The de Haas-van Alphen Effect

3.2.3 Quantized Hall Conductance

3.2.4 Pauli Paramagnetism

3.3 Measurement of the Susceptibility

3.4 Local Moments in Metals

3.4.1 Virtual Bound States

3.4.2 Anderson's Theory of Moment Formation

3.4.3 The Kondo Effect

4 The Static Susceptibility of Interacting Systems:Local Moments

4.1 High Temperatures

4.2 Low Temperatures

4.3 Temperatures Near Tc

4.4 Landau Theory of Second-Order Transitions

4.5 Critical Phenomena

4.5.1 Order in 2D

4.6 Stoner-Wohlfarth Model

4.7 Dynamic Coercivity

4.8 Magnetic Viscosity

5 The Static Susceptibility of Interacting Systems:Metals

5.1 Fermi Liquid Theory

5.2 Heavy Fermion Systems

5.3 Itinerant Magnetism

5.3.1 The Stoner Model

5.3.2 The Hubbard Model

6 The Dynamic Susceptibility of Weakly Interacting Systems:Local Moments

6.1 Equation of Motion

6.2 The Bloch Equations

6.3 Resonance Line Shape

6.3.1 The Method of Moments

6.3.2 The Relaxation-Function Method

6.3.3 Spin Diffusion

6.4 Spin Echoes

6.4.1 Measurement of T1

6.4.2 Calculation of T1

7 The Dynamic Susceptibility of Weakly Interacting Systems:Metals

7.1 Paramagnons

7.2 Fermi Liquid Theory

7.3 Conduction-Electron Spin Resonance

7.4 Spin Waves

7.5 Local Moments in Metals

7.6 Faraday Effect

8 The Dynamic Susceptibility of Strongly Interacting Systems

8.1 Broken Symmetry

8.2 Insulators

8.2.1 Spin-Wave Theory

8.2.2 Coherent Magnon State

8.2.3 Magnetostatic Modes

8.2.4 Solitons

8.2.5 Thermal Magnon Effects

8.2.6 Nonlinear Processes

8.2.7 Chaos

8.2.8 Optical Processes

8.3 High Temperatures

8.4 Micromagnetics

8.4.1 Magnetic Force Microscope

8.4.2 Phenomenological Damping

8.5 Metals

9 Thin Film Systems

9.1 Interfaces

9.1.1 Exchange Bias

9.1.2 Biquadratic Exchange

9.2 Trilayers

9.2.1 The RKKY Ineraction

9.2.2 Quantum Well Model

9.2.3 Giant Magnetoresistance(GMR)

9.2.4 Tunneling

9.2.5 Spin Transfer

9.2.6 Spin Hall Effect

10 Neutron Scattering

10.1 Neutron Scattering Cross Section

10.2 Nuclear Scattering

10.2.1 Bragg Scattering

10.2.2 Scattering of Phonons

10.3 Magnetic Scattering

10.3.1 Bragg Scattering

10.3.2 Spin Dynamics

10.4 Example:Manganese Oxides

10.5 Example:Quantum Phase Transitions

References

Index