|
Preface |
7 |
|
|
Contents |
9 |
|
|
1 Introduction |
18 |
|
|
1.1 Magnetism: Magical yet Practical |
18 |
|
|
1.2 History of Magnetism |
20 |
|
|
1.3 Magnetism, Neutrons, Polarized Electrons, and X- rays |
29 |
|
|
1.4 Developments in the Second Half of the 20th Century |
42 |
|
|
1.5 Some Thoughts about the Future |
47 |
|
|
1.6 About the Present Book |
49 |
|
|
Part I Fields and Moments |
54 |
|
|
2 Electric Fields, Currents, and Magnetic Fields |
55 |
|
|
2.1 Signs and Units in Magnetism |
55 |
|
|
2.2 The Electric Field |
55 |
|
|
2.3 The Electric Current and its Magnetic Field |
56 |
|
|
2.4 High Current Densities |
61 |
|
|
2.5 Magnetic and Electric Fields inside Materials |
63 |
|
|
2.6 The Relation of the Three Magnetic Vectors in Magnetic Materials |
65 |
|
|
Hd |
65 |
|
|
M B |
65 |
|
|
2.7 Symmetry Properties of Electric and Magnetic Fields |
73 |
|
|
3 Magnetic Moments and their Interactions with Magnetic Fields |
77 |
|
|
3.1 The Classical Definition of the Magnetic Moment |
77 |
|
|
3.2 From Classical to Quantum Mechanical Magnetic Moments |
80 |
|
|
3.3 Magnetic Dipole Moments in an External Magnetic Field |
84 |
|
|
3.4 The Energy of a Magnetic Dipole in a Magnetic Field |
85 |
|
|
3.5 The Force on a Magnetic Dipole in an Inhomogeneous Field |
88 |
|
|
3.6 The Torque on a Magnetic Moment in a Magnetic Field |
100 |
|
|
3.7 Time–Energy Correlation |
113 |
|
|
4 Time Dependent Fields |
120 |
|
|
4.1 Overview |
120 |
|
|
4.2 Basic Concepts of Relativistic Motion |
121 |
|
|
4.3 Fields of a Charge in Uniform Motion: Velocity Fields |
124 |
|
|
4.4 Acceleration Fields: Creation of EM Radiation |
136 |
|
|
5 Polarized Electromagnetic Waves |
155 |
|
|
5.1 Maxwell’s Equations and their Symmetries |
156 |
|
|
5.2 The Electromagnetic Wave Equation |
157 |
|
|
5.3 Intensity, Flux, Energy, and Momentum of EM Waves |
159 |
|
|
5.4 The Basis States of Polarized EM Waves |
161 |
|
|
5.5 Natural and Elliptical Polarization |
169 |
|
|
5.6 Transmission of EM Waves through Chiral and Magnetic Media |
173 |
|
|
Part II History and Concepts of Magnetic Interactions |
179 |
|
|
6 Exchange, Spin–Orbit, and Zeeman Interactions |
180 |
|
|
6.1 Overview |
180 |
|
|
6.2 The Spin Dependent Atomic Hamiltonian or Pauli Equation |
182 |
|
|
6.3 The Exchange Interaction |
188 |
|
|
6.4 The Spin–Orbit Interaction |
216 |
|
|
6.5 Hund’s Rules |
222 |
|
|
6.6 The Zeeman Interaction |
225 |
|
|
7 Electronic and Magnetic Interactions in Solids |
234 |
|
|
7.1 Chapter Overview |
234 |
|
|
7.2 Localized versus Itinerant Magnetism: The Role of the Centrifugal Potential |
236 |
|
|
7.3 The Relative Size of Interactions in Solids |
243 |
|
|
7.4 The Band Model of Ferromagnetism |
247 |
|
|
7.5 Ligand Field Theory |
258 |
|
|
7.6 The Importance of Electron Correlation and Excited States |
274 |
|
|
7.7 Magnetism in Transition Metal Oxides |
287 |
|
|
7.8 RKKY Exchange |
303 |
|
|
7.9 Spin–Orbit Interaction: Origin of the Magnetocrystalline Anisotropy |
307 |
|
|
Part III Polarized Electron and X-Ray Techniques |
324 |
|
|
8 Polarized Electrons and Magnetism |
325 |
|
|
8.1 Introduction |
325 |
|
|
8.2 Generation of Spin-Polarized Electron Beams |
326 |
|
|
8.3 Spin-Polarized Electrons and Magnetic Materials: Overview of Experiments |
330 |
|
|
8.4 Formal Description of Spin-Polarized Electrons |
331 |
|
|
8.5 Description of Spin Analyzers and Filters |
339 |
|
|
8.6 Interactions of Polarized Electrons with Materials |
341 |
|
|
8.7 Link Between Electron Polarization and Photon Polarization |
354 |
|
|
9 Interactions of Polarized Photons with Matter |
363 |
|
|
9.1 Overview |
363 |
|
|
9.2 Terminology of Polarization Dependent Effects |
364 |
|
|
9.3 SemiClassical Treatment of X-ray Scattering by Charges and Spins |
367 |
|
|
9.4 SemiClassical Treatment of Resonant Interactions |
373 |
|
|
9.5 Quantum-Theoretical Concepts |
382 |
|
|
9.6 The Orientation-Averaged Intensity: Charge and Magnetic Moment Sum Rules |
397 |
|
|
9.7 The Orientation-Dependent Intensity: Charge and Magnetic Moment Anisotropies |
413 |
|
|
9.8 Magnetic Dichroism in X-ray Absorption and Scattering |
436 |
|
|
10 X-rays and Magnetism: Spectroscopy and Microscopy |
442 |
|
|
10.1 Introduction |
442 |
|
|
10.2 Overview of Different Types of X-ray Dichroism |
443 |
|
|
10.3 Experimental Concepts of X-ray Absorption Spectroscopy |
448 |
|
|
10.4 Magnetic Imaging with X-rays |
469 |
|
|
Part IV Properties of and Phenomena in the Ferromagnetic Metals |
488 |
|
|
11 The Spontaneous Magnetization, Anisotropy, Domains |
489 |
|
|
11.1 The Spontaneous Magnetization |
490 |
|
|
11.2 The Magnetic Anisotropy |
514 |
|
|
11.3 The Magnetic Microstructure: Magnetic Domains and Domain Walls |
521 |
|
|
11.4 Magnetization Curves and Hysteresis Loops |
525 |
|
|
11.5 Magnetism in Small Particles |
527 |
|
|
12 Magnetism of Metals |
531 |
|
|
12.1 Overview |
531 |
|
|
12.2 Band Theoretical Results for the Transition Metals |
533 |
|
|
12.3 The Rare Earth Metals: Band Theory versus Atomic Behavior |
540 |
|
|
12.4 Spectroscopic Tests of the Band Model of Ferromagnetism |
544 |
|
|
12.5 Resistivity of Transition Metals |
558 |
|
|
12.6 Spin Conserving Electron Transitions in Metals |
568 |
|
|
12.7 Transitions Between Opposite Spin States in Metals |
583 |
|
|
12.8 Remaining Challenges |
592 |
|
|
Part V Topics in Contemporary Magnetism |
594 |
|
|
13 Surfaces and Interfaces of Ferromagnetic Metals |
595 |
|
|
13.1 Overview |
595 |
|
|
13.2 Spin-Polarized Electron Emission from Ferromagnetic Metals |
596 |
|
|
13.3 Reflection of Electrons from a Ferromagnetic Surface |
609 |
|
|
13.4 Static Magnetic Coupling at Interfaces |
621 |
|
|
14 Electron and Spin Transport |
644 |
|
|
14.1 Currents Across Interfaces Between a Ferromagnet and a Nonmagnet |
644 |
|
|
14.2 Spin-Injection into a Ferromagnet |
663 |
|
|
14.3 Spin Currents in Metals and Semiconductors |
679 |
|
|
14.4 Spin-Based Transistors and Amplifiers |
682 |
|
|
15 Ultrafast Magnetization Dynamics |
686 |
|
|
15.1 Introduction |
686 |
|
|
15.2 Energy and Angular Momentum Exchange between Physical Reservoirs |
689 |
|
|
15.3 Spin Relaxation and the Pauli Susceptibility |
694 |
|
|
15.4 Probing the Magnetization after Laser Excitation |
697 |
|
|
15.5 Dynamics Following Excitation with Magnetic Field Pulses |
712 |
|
|
15.6 Switching of the Magnetization |
730 |
|
|
15.7 Dynamics of Antiferromagnetic Spins |
766 |
|
|
Part VI Appendices |
767 |
|
|
A Appendices |
768 |
|
|
A.1 The International System of Units (SI) |
768 |
|
|
A.2 The Cross Product |
770 |
|
|
A.3 s, p, and d Orbitals |
771 |
|
|
A.4 Spherical Tensors |
772 |
|
|
A.5 Sum Rules for Spherical Tensor Matrix Elements |
773 |
|
|
A.6 Polarization Dependent Dipole Operators |
774 |
|
|
A.7 Spin–Orbit Basis Functions for p and d Orbitals |
775 |
|
|
A.8 Quadrupole Moment and the X-ray Absorption Intensity |
776 |
|
|
A.9 Lorentzian Line Shape and Integral |
779 |
|
|
A.10 Gaussian Line Shape and Its Fourier Transform |
779 |
|
|
A.11 Gaussian Pulses, Half-Cycle Pulses and Transforms |
780 |
|
|
References |
782 |
|
|
Index |
810 |
|