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Daniel C. Mattis — The theory of magnetism made simple: an introduction to physical concepts and to some useful mathematical methods
Daniel C. Mattis — The theory of magnetism made simple: an introduction to physical concepts and to some useful mathematical methods

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Название: The theory of magnetism made simple: an introduction to physical concepts and to some useful mathematical methods

Автор: Daniel C. Mattis

Аннотация:

This new version of a classic updates much of the material in earlier editions, including the first chapter, on the history of the field. Important modifications reflect major discoveries of the past decades. A historical perspective is maintained throughout. The reader is drawn into the process of discovery: starting with a phenomenon, finding plausible explanations and competing theories — and finally, the solution. The theory of magnetism is practically a metaphor for theoretical physics. The very first quantum many-body theory (Bethe’s ansatz) was devised for magnetic chains, just as mean-field theory was invented a century ago by Weiss to explain Curie’s Law. The first two chapters of this book are immensely readable, taking us from prehistory to the “spin valves" of the most recent past. Topics in subsequent chapters include: angular momenta and spin (Chapter 3), quantum theory of simple systems, followed by increasingly technical insights into ordered and random systems, thermal fluctuations, phase transitions, chaos and the like. Contemporary developments in nanotechnology now seek to take advantage of the electron’s spin as well as of its charge. The time is not far off when nano-circuits made entirely of silicon exhibit such many-body properties as superconductivity or ferromagnetism — without any superconducting materials or magnetic ions being present. The reader of this book will be prepared for such exotic twenty-first century applications. Daniel C Mattis, BS, MS, PhD, Fellow of the American Physical Society (APS), is a frequent lecturer at research institutions and the author of several textbooks and numerous research articles. His expertise includes many-body theory, electrical conductivity, quantum theory of magnetism and most recently, nanotechnology. Prof. Mattis is on the editorial panel for high-temperature superconductivity of the International Journal of Modern Physics B and Modern Physics Letters B, both published by World Scientific. Currently serving as Professor in the Physics department at the University of Utah in Salt Lake City, Utah, USA, at various times he has been visiting Professor at Yale University (New Haven), State University of New York (Buffalo), Temple University (Philadelphia), and served as “Wei-Lun Visiting Professor" at the Chinese University of Hong Kong. A founding member of the “Few-Body Physics" section of the APS, he has also served as Chair of the standing committee of the! APS for the “International Freedom of Scientists."


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2006

Количество страниц: 580

Добавлена в каталог: 18.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Adiabatic demagnetization      365
AKLT      254 255
Alloy      39 40 47 48 57 65-67 287 290 292 293 296-298 300 301 310 312 342 408 409 439 440
Anderson model      47 329 332 335-338
angular momentum      31 54 56 69-103 108 111 125-127 130 131 138 162 177 233 235 238 261 293 296 435
Anti-periodic boundary conditions      486
Antiferromagnetic magnon      200 215
band theory      39 258 310 311 324 326
Bethe ansatz      49 167 168 426 541 542
Bipartite      155 156 162 168 216 226 228 392 447 448 523
Bloch energy      157 261 313 542
Bohr magneton      31 39 56 170 312 326 335 345
Boson      88 97 107 108 143 155 167 215-217 244 251 254 375-377 407 537 544 547
Bound state      78 158 162 163 166 175 186 188 192 194-196 199 200 211 321 323 330-334 341 402
Brillouin zone      193 213 259 267 275 276 289 325
Chaos      16 539
Clebsch - Gordan coefficients      85 86 93 94
Commutation laws      72 83
Completeness relation      105
conformal      437 535 547 548
Conformal invariance      547
Cooper pair      68 110 158
Correlation      62 103 109 163 167 176 201 214 215 221 223 224 254 258 272 280 307 308 337 358 359 366 370 377 394 414 460 472 494 495 497 500 536
correlation length      431 454 460 534
critical exponent      359 379 385 501 502 517 520-522 523 525 532-535
Critical phenomena      49 57 380 454 501 520 533 547
Curie temperature      25 27 36-38 186 290-293 320 355 356 411 439 453
Current      16-18 53 54 113 116 150 172 173 272 273 275 304 523
current loop      18 50 53 54 56
Cyclic determinant      497 498
Defective antiferromagnet      255
Density matrix      349 484
Density of states      152 172 246 266-271 311 318 327-329 396-398 402 545
Diamagnetic      19 25 271 272
Diamagnetism      25 26 37 268 272 273
Domain      35 39-41 43 64 65 99 241 312 361 369 452
Domain wall      40 231 234 241 242 452 469
Double exchange      143 149
Duality      448
Elementary excitation      103 175 176 204 211 219 275 276 306 320 324 326 407 419 425 426 469
Elliptic function      42 236 381 469 470 490
entropy      32 68 246 301 344 351 352 361 365 366 371 372 374 387 428 494 509 510 513 517 532
Errimagnetism      168 171 224
Exchange      33 34 37-39 48 57 63 65 66 69 125 129 133 148 151 152 167 177 181 184 185 187 216 229 257 258 272 273 276 279-283 285 287 299 310 311 313- 318 320 337-340 366 461
Exchange correction      151 152 155
Exchange integral      279 314
Exchange operator      36 87 279
Excited spectrum      427 460
Fermion      38 97 98 107 108 110 111 116 143 149 155 167 204 279 375 464-466 471 472 474 475 478 486 495 510 512 537 542 543 544 546 547
Ferromagnetic      25 35 37 38 40 48 58- 65 68 113 133 145 146 151-154 160 161 163-166 176 183 185 186 200 204 208 209 228 236 249 278 282 283 285 289 290 292-294 296 299 300 304 310 312 314-316 320 321 325 326 343 367 369 370 372-374 379 395 398 407 439 443 445 448 458 469 503 509 514 518 528 530-532 535 538
Finite-size scaling      441
Free energy      32 215 271 273 344 347 349 350 352 353 356 358 378-380 383 392 395 397-399 422 423 428 436 442 443 448 459 460 468 481 490 491 502 503 506 512 519 532 533
Frustration      247 249 250 309 370 372 448 480 528-532
Gauge glass      526 528
Gaussian      348 375 376 378-380 382-384 388-392 464 491
Giant magnetoresistance      52 172
Graph theory      445
Green function      215 246 387 389 412 535-537 539 543 544 546
gyromagnetic ratio      35 54 56
Haldane gap      250 254 541
Half-filled band      38 155 161 166 258 311 316 330 340
Half-singlet operator      252
Hall effect      267 272
Hartree - Fock      37 38 109 125 136 151 152 154 319 320 329 337 339-341 420 543
heat capacity      351 361 412 420 437 541
High-temperature series      411 414 441
High-temperature superconductivity      50 67 68 317
Holstein - Primakoff representation      95 217 563
Hubbard model      154 315-317
Hund's rule      63 113 125-127 279 280 283-285 311 313 317 318 326
Hysteresis      35 68 241 361 362
Indirect exchange      258 284 286 287 293 296 310 318 320 321 326 369 406
Inite-size      548
Integer spin      248-250 254
Internal energy      272 344 347 350 352 356 360 381 382 412 462 491-493 517 526 547
Ising model      44 46 57 98 207 211 212 375 379 388 424 425 427 432 438-441 448 451 452 454 455 458 462 470 472 474 478 480 484 491-493 497 501 502 507 509 510 516-519 523 525-528 533 539
Jellium      149 150 280 291 320
Jordan - Wigner transformation      418 464 466 474 485 495
kinetic energy      21 29 65 66 104 127 151 152 159 278 311 322 335 436 437
Kondo effect      48 67 68 283 297 327 337 338 541
Kramers' degeneracy      106 109 268 326
Lee - Yang theorem      504 525
Legendre transformation      377
Linear response      406 539
Local moment      47 300 313 320 333 339
Long-range order      46 60 151 170 221-223 249-251 312 408 414-418 426 432 439 440 452 454 494 500
Longitudinal field      454 482
Low temperature expansion      448
Luttinger - Tomonaga liquid      168
Magnetic bubble      39 40
Magnetic dipole      54-58 76
Magnetic impurity      48 67 258 327 329
magnetic susceptibility      25 28 35 201 256 271 344 358 361 382 389 493 494 500 526 543 544 546
Magneto-resistance      272
Magnetostriction      39 372 461 462
Magnon      50 69 139 143 175 176 180 185 186 188 189 204 205 208 214 217-219 222 224-226 228 229 231 233 239 249 251 258 306 320 321 323-326 407-409 411-413 417 419 428 429 431 432 539
Majumdar - Ghosh model      247 248
Mean-field theory      358 (see also MFT)
Metamorphosis      513 514
Metastable magnetization      364
MFT      354 371 372 382 385 387 392 394 443 452 453 462 499 501 516 523 525 532 533
Micromagnetics      39 40 44 242
Molecular field      27 28 35 293 354 355 359 306 360 366 368 369 411 439
monopole      76 78
N$\acute{e}$el state      160 161 164 216 219 220 251-253 289 292
N$\acute{e}$el temperature      38 255 367 373 443
Nagaoka's ferromagnetism      163
Nernst's theorem      68
Node      106 107 112 115 319
Nodeless      106 112 115-117 127 162 214 227 228 293
Normalized      74 76 77 88 90 102 104 106 109 135 139 147 148 185 186 215 243 267 288 299 350 379 416 422 431 473 477 484 503 537
Number operator      97 141 180 274 464 465 474 542
One dimension      113 167 176 190 195 201 216 218 233
Orthonormality      105 129
Pad$\acute{e}$ approximant      501 523
Paramagnetic      19 25 30 38 66 152 153 269 290-293 313 320 393 394 402 423 439 458 541 542
Paramagnetism      26 37 152 163 256 268 269 272 354 366
Partition function      349 350 373 375-377 379 380 382 383 393 421 425 427 429-431 433 441 444 446 448 453 455 459 480 502 503 507 509 525
Pauli function      120 121 132
Pauli principle      55 107-109 111 115 133 134 139 140 147 161 163 171 172 273 339
Periodic Anderson model      342
Periodic boundary conditions      150 380 422 457 480 486
Permalloy      40
phase diagram      153 156 160 163 314- 317 320 362 394 421 426 440
Plane rotator      414 426 428 432 433
Plasmon      321 326
Projection operator      101 102 119 120 252 254
Quadratic form      100 141 204 303 360 380 396 419 464 474 475 478
Quantum Hall effect      67 272
Quasiparticle      204 212 275
RKKY      287 369 395
Rotation      20 55 80 90 91 93 99 187 263 477
Ruderman - Kittel interaction      290-296 304 311
Rustrated      117 480 528-532
S-d model      337 338 342 539 542
Scaling relation      535
Scattering lifetime      188
Schrodinger equation      104 105 111 112 116 125 137 141 144 157 162 189 243 252 260 261 270 425 472
Second quantization      137 139 273 279
Self-dual      448 449 451
Slater determinant      109 111 120
Soliton      175 176 196 231 233-241 419
Spherical harmonics      73 74 79 80 84 91 94 100 129 425
Spherical model      288 309 378 382 384 385 387 389-392 394-396 405-407 414 415 428 447 452 464 491 501 507
Spin      31 33 34-39 44 48 53-57 59- 63 65 67-69 71 82 83 87 90 92 96-174
Spin glass      48 67 68 284 300 304 305 370 395-397 399 402 403 405 407 480 532 548
Spin matrices      33 36 82 83 89 96 97 302 456
Spin one      95 98 250 252 314 541
Spin one-half      70 82 96-98 101 102 132 133 144 147 164 169 223 239 242 279 301 352 420 426 541-543
Spin valve      172-174 565
Spin wave      37 39 46 95 143 175 176 179 184 186 197 199-201 211 218 220 224 228 233-237 251 255 290-293 314 321 374 375 382 400-403 407 410 413 415 536
Spinor      83 84 93 118 120 243 441
Spinor operators      89
Spintronics      52 69
Spinwave      39 95 211 220 228 233 236 237 251 314 321 374 382 536
Spiral spin configuration      289 325
Spontaneous magnetization      25 44 46 351 361 364 415
Star-triangle transformation      451 507 508 512-514
Statistical thermodynamics      344
Superconductivity      50 67 68 158 471
Superexchange      55 68 146-149 169 284
susceptibility      15 38 66 207 256 269 271 272 351-353 355 361-363 366-368 373 389 391-394 402 404 407 414 423 444 454 458 462 468 469 494 497 500 506 514 516 519 521-524 528 534 541 547
Thermal average      29 30 103 269 350 382 412 415 441 472 495 527 536
Thermal averaging      214
Thermodynamic limit      344 346 348 351 371 381 384 385 395 397 401 407 422 441 447 474 475 494 503
Third law      68 351 361 387
Tight-binding      258 260 261 264 267
Tight-binding calculation      170
Toeplitz determinant      205 496-498
Transfer matrix      149 258 273 277 282 342 421 423 433 436 457-460 463 478-480 483-486 495 496 500 502 506 507 510 530 531
Transverse field      454 462 470 482 492 493
Two-body      63 110 111 142 149-151 156 161 251 277 278 329 341 418 462
Van Hove singularities      266 267 399
Vector spherical harmonics      100
Villain model      429
Vortices      9 46 228 427-430
Watson integral      199 200 387 389
Wave function      70 74 75 78-80 85 94 99 104 105 108 109 114 115 123 124 127 129 132 133 139 140 143 150 186 202 203 206 209 220 251 252 254
Wick's theorem      142 495 496
Wolff model      332 334 335 342
XY model      46 57 200 201 204 207 210-213 216 218 220 221 223 228 239 392 414 418-420 425-427 519 533
Yang - Baxter equation      541
Zeros of the partition function      440 504
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