Quantum Theory of Magnetism (eBook)

The author has had a long history of research in magnetism. He received his BS from MIT and his PhD from Stanford. He did postdoctoral work with C.Kittel at Berkeley, He was a professor at Stanford where he has had collaborations with T. Geballe and C. Herring. White and Geballe wrote Long Range Order in Solids, a book that treats magnetism and superconductivity as well as other cooperative phenomena from a general point of view. He spent sabbaticals at the Cavendish Laboratory with Sir Neville Mott, the Ecole Polytechnique, and the Max Planck Institute in Stuttgart. Recently he was a professor at Carnegie Mellon University where he was also Director of the Data Storage Systems Center, an interdisciplinary center for magnetic recording. White is also the author of Introduction to Magnetic Recording.

Preface 7
Contents 9
1 The Magnetic Susceptibility 13
1.1 The Magnetic Moment 14
1.2 The Magnetization 19
1.3 The Generalized Susceptibility 24
1.4 Second Quantization 33
Problems 42
2 The Magnetic Hamiltonian 44
2.1 The Dirac Equation 44
2.2 Sources of Fields 46
2.3 The Spin Hamiltonian 78
Problems 91
3 The Static Susceptibility of Noninteracting Systems 95
3.1 Localized Moments 95
3.2 Metals 104
3.3 Measurement of the Susceptibility 122
3.4 Local Moments in Metals 125
Problems 140
4 The Static Susceptibility of Interacting Systems: Local Moments 142
4.1 High Temperatures 144
4.2 Low Temperatures 155
4.3 Temperatures Near 158
4.4 Landau Theory of Second-Order Transitions 162
4.5 Critical Phenomena 163
4.6 Stoner-Wohlfarth Model 168
4.7 Dynamic Coercivity 171
4.8 Magnetic Viscosity 174
Problems 175
5 The Static Susceptibility of Interacting Systems: Metals 177
5.1 Fermi Liquid Theory 177
5.2 Heavy Fermion Systems 184
5.3 Itinerant Magnetism 185
Problems 198
6 The Dynamic Susceptibility of Weakly Interacting Systems: Local Moments 200
6.1 Equation of Motion 200
6.2 The Bloch Equations 204
6.3 Resonance Line Shape 209
6.4 Spin Echoes 218
Problems 223
7 The Dynamic Susceptibility of Weakly Interacting Systems: Metals 225
7.1 Paramagnons 227
7.2 Fermi Liquid Theory 229
7.3 Conduction-Electron Spin Resonance 234
7.4 Spin Waves 236
7.5 Local Moments in Metals 237
7.6 Faraday Effect 241
Problems 242
8 The Dynamic Susceptibility of Strongly Interacting Systems 243
8.1 Broken Symmetry 243
8.2 Insulators 244
8.3 High Temperatures 272
8.4 Micromagnetics 275
8.5 Metals 280
Problems 284
9 Thin Film Systems 286
9.1 Interfaces 286
9.2 Trilayers 290
Problems 319
10 Neutron Scattering 320
10.1 Neutron Scattering Cross Section 320
10.2 Nuclear Scattering 322
10.3 Magnetic Scattering 329
10.4 Example: Manganese Oxides 342
10.5 Example: Quantum Phase Transitions 346
References 350
Chapter 1 350
Chapter 2 350
Chapter 3 351
Chapter 4 353
Chapter 5 354
Chapter 6 354
Chapter 7 355
Chapter 8 355
Chapter 9 356
Chapter 10 358
Index 360