|
|
1 | (24) |
|
Macroscopic Maxwell Equations |
|
|
1 | (6) |
|
Magnetic Moment and Magnetization |
|
|
7 | (6) |
|
|
13 | (2) |
|
Classification of Magnetic Materials |
|
|
15 | (4) |
|
|
15 | (1) |
|
|
15 | (2) |
|
|
17 | (2) |
|
Elements of Thermodynamics |
|
|
19 | (3) |
|
|
22 | (3) |
|
|
25 | (60) |
|
|
25 | (3) |
|
Russell-Saunders (LS-) Coupling |
|
|
25 | (2) |
|
Hund's Rules for LS Coupling |
|
|
27 | (1) |
|
|
28 | (6) |
|
|
34 | (6) |
|
|
40 | (5) |
|
|
45 | (11) |
|
|
45 | (2) |
|
|
47 | (1) |
|
|
48 | (2) |
|
|
50 | (2) |
|
|
52 | (1) |
|
|
53 | (2) |
|
|
55 | (1) |
|
Electron in an External Magnetic Field |
|
|
56 | (6) |
|
|
62 | (5) |
|
|
67 | (5) |
|
Magnetic Hamiltonian of the Atomic Electron |
|
|
72 | (2) |
|
|
74 | (7) |
|
|
74 | (1) |
|
|
75 | (1) |
|
|
76 | (5) |
|
|
81 | (4) |
|
|
85 | (52) |
|
|
85 | (2) |
|
Larmor Diamagnetism (Insulators) |
|
|
87 | (3) |
|
The Sommerfeld Model of a Metal |
|
|
90 | (14) |
|
|
91 | (8) |
|
|
99 | (5) |
|
Landau Diamagnetism (Metals) |
|
|
104 | (17) |
|
Free Electrons in Magnetic Field (Landau Levels) |
|
|
104 | (5) |
|
Grand Canonical Potential of the Conduction Electrons |
|
|
109 | (8) |
|
Susceptibility of the Conduction Electrons |
|
|
117 | (4) |
|
The de Haas-Van Alphen Effect |
|
|
121 | (13) |
|
Oscillations in the Magnetic Susceptibility |
|
|
121 | (3) |
|
Electron Orbits in Magnetic Field |
|
|
124 | (4) |
|
Physical Origin of the Oscillations |
|
|
128 | (3) |
|
|
131 | (3) |
|
|
134 | (3) |
|
|
136 | (1) |
|
|
137 | (38) |
|
|
138 | (17) |
|
``Primitive'' Theory of the Pauli Spin Paramagnetism |
|
|
138 | (3) |
|
|
141 | (1) |
|
|
142 | (13) |
|
Paramagnetism of the Localized Electrons |
|
|
155 | (16) |
|
Weak Spin-Orbit Interaction |
|
|
158 | (6) |
|
Strong Spin-Orbit Coupling |
|
|
164 | (2) |
|
|
166 | (5) |
|
|
171 | (4) |
|
|
174 | (1) |
|
|
175 | (58) |
|
Phenomenological Theories |
|
|
178 | (6) |
|
|
178 | (2) |
|
|
180 | (4) |
|
Direct Exchange Interaction |
|
|
184 | (16) |
|
|
184 | (4) |
|
The Heitler-London Method |
|
|
188 | (7) |
|
|
195 | (5) |
|
Indirect Exchange Interaction |
|
|
200 | (26) |
|
Rudermann-Kittel-Kasuya-Yosida (RKKY) Interaction |
|
|
200 | (9) |
|
|
209 | (8) |
|
|
217 | (9) |
|
|
226 | (7) |
|
|
231 | (2) |
|
|
233 | (40) |
|
|
234 | (2) |
|
The One Dimensional Ising Model |
|
|
236 | (9) |
|
Spontaneous Magnetization |
|
|
236 | (4) |
|
One Dimensional Ising Model in External Field |
|
|
240 | (5) |
|
The Phase Transition of Two-Dimensional Ising Model |
|
|
245 | (9) |
|
|
245 | (2) |
|
Finite Ising Lattice with Special Boundary Conditions |
|
|
247 | (1) |
|
|
247 | (2) |
|
Realization Possibilities for the Polygons |
|
|
249 | (3) |
|
Magnetization of the Finite Lattice |
|
|
252 | (1) |
|
|
252 | (2) |
|
The Free Energy of the Two-Dimensional Ising Model |
|
|
254 | (16) |
|
High-Temperature Expansion |
|
|
255 | (1) |
|
|
256 | (1) |
|
|
257 | (4) |
|
|
261 | (3) |
|
|
264 | (2) |
|
|
266 | (1) |
|
|
267 | (1) |
|
|
268 | (1) |
|
Spontaneous Magnetization |
|
|
269 | (1) |
|
|
270 | (3) |
|
|
271 | (2) |
|
|
273 | (114) |
|
|
273 | (10) |
|
|
273 | (6) |
|
|
279 | (4) |
|
|
283 | (13) |
|
|
283 | (8) |
|
One-Magnon States of a Ferromagnet |
|
|
291 | (5) |
|
Molecular Field Approximations |
|
|
296 | (26) |
|
|
297 | (6) |
|
|
303 | (14) |
|
|
317 | (5) |
|
|
322 | (29) |
|
Linear Spin Wave Theory for the Isotropic Ferromagnet |
|
|
322 | (7) |
|
``Renormalized'' Spin Waves |
|
|
329 | (7) |
|
Harmonic Approximation for Antiferromagnets |
|
|
336 | (9) |
|
Harmonic Approximation for a Ferromagnet with Dipolar Interaction |
|
|
345 | (6) |
|
Thermodynamics of S = 1/2 Ferromagnet |
|
|
351 | (10) |
|
|
351 | (3) |
|
Spontaneous Magnetization |
|
|
354 | (5) |
|
|
359 | (2) |
|
Thermodynamics of S ≥ 1/2 Ferromagnets |
|
|
361 | (20) |
|
|
361 | (2) |
|
Spontaneous Magnetization |
|
|
363 | (8) |
|
|
371 | (10) |
|
|
381 | (6) |
|
|
386 | (1) |
|
|
387 | (104) |
|
|
387 | (1) |
|
|
388 | (7) |
|
Solid as a Many-Body System |
|
|
388 | (1) |
|
Electrons in Narrow Energy Bands |
|
|
389 | (4) |
|
|
393 | (2) |
|
|
395 | (14) |
|
Stoner Ansatz (Ferromagnet) |
|
|
395 | (2) |
|
|
397 | (1) |
|
Magnetic Phase Transition |
|
|
398 | (7) |
|
|
405 | (4) |
|
Exact Statements and General Properties |
|
|
409 | (42) |
|
|
410 | (5) |
|
The Infinitely Narrow Band |
|
|
415 | (5) |
|
|
420 | (7) |
|
The Exactly Half-Filled Band |
|
|
427 | (4) |
|
|
431 | (6) |
|
|
437 | (2) |
|
|
439 | (2) |
|
|
441 | (3) |
|
|
444 | (4) |
|
Effective ``impurity''-Problem |
|
|
448 | (3) |
|
Magnetism and Electronic Correlations |
|
|
451 | (34) |
|
|
451 | (3) |
|
|
454 | (1) |
|
Correlation Effects and Ferromagnetism |
|
|
455 | (2) |
|
Criterion for Ferromagnetism |
|
|
457 | (4) |
|
Static Susceptibility and Ferromagnetism |
|
|
461 | (3) |
|
Spin-Dependent Band Shift |
|
|
464 | (6) |
|
|
470 | (5) |
|
Dynamical Mean Field Theory |
|
|
475 | (4) |
|
Modified Perturbation Theory |
|
|
479 | (3) |
|
Curie Temperature, Magnetization and Static Susceptibility |
|
|
482 | (3) |
|
|
485 | (6) |
|
|
490 | (1) |
|
|
491 | (24) |
|
|
492 | (2) |
|
Continuous Fock Representation |
|
|
494 | (7) |
|
Symmetrized Many-Particle States |
|
|
494 | (1) |
|
|
495 | (2) |
|
|
497 | (4) |
|
Discrete Fock Representation (Occupation Number Representation) |
|
|
501 | (5) |
|
Symmetrized Many-Particle States |
|
|
501 | (2) |
|
|
503 | (3) |
|
|
506 | (5) |
|
|
506 | (2) |
|
|
508 | (1) |
|
|
509 | (1) |
|
|
510 | (1) |
|
|
511 | (4) |
|
B The Method of Green's Functions |
|
|
515 | (48) |
|
|
515 | (8) |
|
|
515 | (3) |
|
|
518 | (2) |
|
|
520 | (3) |
|
Spectroscopies and Spectral Densities |
|
|
523 | (5) |
|
Double-Time Green's Functions |
|
|
528 | (17) |
|
Definitions and Equations of Motion |
|
|
528 | (3) |
|
|
531 | (3) |
|
|
534 | (2) |
|
|
536 | (1) |
|
Kramer's-Kronig Relations |
|
|
537 | (2) |
|
|
539 | (6) |
|
The Quasiparticle Concept |
|
|
545 | (14) |
|
|
545 | (3) |
|
|
548 | (3) |
|
|
551 | (4) |
|
Quasiparticle Density of States |
|
|
555 | (3) |
|
|
558 | (1) |
|
|
559 | (4) |
|
|
563 | (180) |
Index |
|
743 | |