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Phillips P. — Advanced Solid State Physics
Phillips P. — Advanced Solid State Physics



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Название: Advanced Solid State Physics

Автор: Phillips P.

Аннотация:

Solid state physics continues to be the fastest-growing sub-discipline in physics. This much anticipated new book provides ample background that underpins the principles of solid state physics, and moves quickly to an overview of current research in this fast-moving field. Upper division undergraduates and graduate students in physics who wish to pursue solid state physics research must master old topics, as well as problems of current interest. This book serves that purpose, and fills students' needs.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 386

Добавлена в каталог: 26.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Fermions, and Bose fields      160
Fermions, anticommutation relations      158
Fermions, definition of      17
Fermions, inherent antisymmetry of      19
Ferromagnetic interaction      105-108
Ferromagnetism, criterion for onset of      68
Field operator      23
Fluctuation-dissipation theorem      124-125
Fluctuation-dissipation theorem and structure function for free electrons      184-185
Fluctuation-dissipation theorem, Fourier transform for      124
Fourier components      149
Fourier components of interaction potential      220
Fourier series      220
Fourier transform      28 41 80 154 155 156 168 225
Fourier transform, of the interaction potential      217-218
Fractional quantum Hall      1
Fractional quantum Hall edge excitations      369
Fractional quantum Hall effect      354
Free energy      328
Free-particle energies      259
Friedel's sum rule      65 92
Gell-Mann and Brueckner result      48
Ginzburg and Landau theory, London approach in      210
Goldstone modes      176
Green functions      60-62 64 269 270 271 282-285 291
Green functions, definition of      60
Ground state      253 257 364
Ground state, energy      239-243
Hall conductance      352 356 357 364-365
Hall conductance, and disorder      359
Hall conductance, Laughlin argument      364
Hall conductance, quantization of      360
Hall field      351
Hall plateaus      352
Hall resistance      352
Hall voltage      349 351 352-353 359 364
Hamilton's equations      237 273
Hamiltonian      151 152 153 154 156 157 164 165 214 216 239 249 251 252 271 362
Hamiltonian matrix      249 250
Hamiltonian, and bosons      175
Hamiltonian, Anderson      54 66 77 105
Hamiltonian, anisotropic spin-flip      99
Hamiltonian, BCS      229 249
Hamiltonian, continuum version      158
Hamiltonian, electron velocity      9-10
Hamiltonian, electron-phonon      182 260-261
Hamiltonian, for free electrons      126
Hamiltonian, for harmonic chain      177-178
Hamiltonian, for harmonic oscillators      167
Hamiltonian, for interacting electron gas      131
Hamiltonian, interacting electron      22
Hamiltonian, interaction      88
Hamiltonian, Kondo      74 75 80-81
Hamiltonian, linear-response theory      122
Hamiltonian, local moment      58
Hamiltonian, nearest-neighbor tight-binding      300
Hamiltonian, of Hartree - Fock approximation      58-59
Hamiltonian, of single electron      1
Hamiltonian, outside Fermi sea      95
Hamiltonian, reduced electronic      15
Hamiltonian, second-quantized operators      29
Hamiltonian, single-particle      61
Harmonic chain      175-178
Harmonic chain, Hamiltonian for      175-176
harmonic oscillator      149
Hartree - Fock approximation      27-33 35 36 58-59 93
Hartree - Fock approximation, cohesive energy      41-42
Hartree - Fock approximation, difference with noninteractive model      45
Hartree - Fock approximation, excitation spectrum      39
Hartree - Fock energy      31 32
Hartree - Fock energy, per particle      38
Hartree - Fock equations      31
Hartree-Fock equations, and low-temperature heat capacity      40
Hartree-Fock single-particle energy      32
heat capacity      251 256
Heat capacity, calculation of      5
Heat capacity, classical      8
Heat capacity, low-temperature      39-41
Heat capacity, per unit volume      7
Heaviside step function      242
Heaviside step function, definition of      2
Heaviside step function, screening effects in random-phase approximation      135 136
Hebel - Slichter peak      213
Heisenberg equations of motion      155 156 157
Heisenberg equations of motion, and bosons      177
Heisenberg equations of motion, Fourier transform of      281-282
Heisenberg evolution equation      157
Heisenberg uncertainty relationship      237
Heisenberg's explanation of ferromagnetism      31
Hellman - Feynman theorem      362
Helmholtz free energy      251 252 253
Hermitian conjugate (h.c.)      107 152
Hermitian operator      18
Holons, and spinon interaction      166 167
Holons, conductivity of      171
Holons, definition of      165
Holons, interaction of      166
Hubbard interaction      159
Hubbard model      149 151
hybridization      55-57 58 62 68 75-77
Hybridization, energy      56
Hydrodynamic limit      197-199
Hydrodynamics      98
Incompressible quantum liquid      349
INDEX      385
Insulator-metal transition      277
Insulator-superconductor transitions      305-308
Insulator-superconductor transitions, and quantum phase transitions      319-346
Integer Hall effect      353
Integer quantum Hall state      349
Integer quantum Hall state, and edge excitations      369
Ions, "plasma" frequency      199
Ions, mass      10 213
Ions, phonon modes of      13
Ions, velocity      10
Ions, wave functions      12
Jellium model      35
Josephson effect      237
Josephson tunneling      271-273
Kinetic energy, expectation value      28
Kinetic energy, operator      29
Klein factors      158 159
Kondo alloys      88
Kondo effect      268
Kondo exchange interaction      108
Kondo form      267
Kondo logarithmic term      298
Kondo problem      65 71 278 287
Kondo problem, definition of      73
Kondo problem, difference from bulk ferromagnetism      72
Kondo problem, important terms in the      91-92
Kondo problem, numerical renormalization group procedure solution      73
Kondo temperature      71 80 94-97 103 104
Koopman's theorem      32
Kramers - Kronig relationships      139
Lagrange multiplier      31 239
Landau - Fermi-liquid theory      224
Landau - Ginzburg theory      336-337
Landau levels      172 354 357 366
Landau levels, and degeneracy      355
Landau levels, and density      356
Landau levels, and disorder      358
Landau levels, and flux attachment      371
Landau levels, and Laughlin's gauge principle      363
Landau levels, and magnetic flux      355-356
Landau levels, and uniform electron charge density      367
Landau levels, energy of      355
Landau levels, Fermi level      357
Landau levels, filled      370-371
Landau levels, partially filled      365
Landau parameter      227
Laughlin argument      364
Laughlin liquid      349 364-371
Laughlin liquid, excitations of      367-369
Laughlin liquid, quasi particles in      370
Laughlin state      349 353 370
Laughlin state, importance of      367
Laughlin state, incompressibility of      368-369
Laughlin state, variational character of      367
Laughlin's gauge, argument      369
Laughlin's gauge, principle      363
Light dispersion and Maxwell equation      121
Linear-response theory      121-127
Linear-response theory, and density response      125-127
Linear-response theory, and fluctuation-dissipation theorem      124-125
Linear-response theory, Hamiltonian for      122
Linear-response theory, Liouville equation for      122
Liouville equation of motion      122
Local magnetic moments      71
Local magnetic moments, criterion for      59 68
Local magnetic moments, formation      58
Local magnetic moments, in metal      53-69
Local magnetic moments, problem      269
Localization length      287 289 303 309
Localization, exceptions to      299-313
Localization, primer on      278-280
Localization, scaling theory of      277-278 285-291
Localization, strong      278 281-285
Localization, weak      278 291-298
Localized spin fluctuation      57
Localized state      55
London ansatz      208 211
London conjecture      211
London equation      207-208
Lorentz force      356 360
Lorentz force, cancellation of      350-351
Lorentzian distribution      358
Luttinger liquid      149 150 167 170 171 172
Luttinger liquid, charge excitation in      167
Luttinger liquid, chiral      369
Luttinger liquid, spin-charge dichotomy of      166
Luttinger model      150 152-153 167
Luttinger model, dispersion relations      151
Luttinger model, free part of      155
Luttinger model, in ground state      152
Lyapunov exponent      303
Magnetic length      354
Magnetic stability condition      68
Maxwell equation      208 209
Mean-field approximation      see Hartree - Fock approximation
Mean-field solution      57-59
Mean-field solution, definition of      328
Mean-field solution, expression for free energy      330-331
Mean-field theory      71
Mean-free path      303-304
Mean-square displacement      294 301 304
Meissner effect      205 206-211
Meissner effect, complete      206-207
Meissner effect, incomplete      207
Metals, and alkalis      42 43
Metals, atoms in      45
Metals, bandwidth      41
Metals, cohesive energy      41 9
Mobility edge      279-280
Mott minimum-metallic conductivity hypothesis      279-280
Nearest-neighbor lattice site      55
Negative compressibility      217
Net acoustic-attenuation rate      263
Newton's second law      351
Nuclear magnetic resonance (NMR)      53
Nuclear-spin lattice-relaxation rate      268
Number operator      20 54
Number operator, definition of      18
Ohm's law      287 289 349
One-body potential      216
Operator equations of motion      59
Pair amplitude      228-234 237
Pair amplitude, and BCS theory      233
Pair amplitude, exponential growth of      230-233
Pair amplitude, Fourier transform      230
Pair amplitude, time evolution of      230
Pair binding      165-167
Pair binding, energy      166
Pair fluctuations      237-239
Particle, current      200
Particle, density operator      23
Particle, energy in momentum state      37
Particle, relation between number and phase      236-237
Pauli exclusion principle      31 78 206 219 224
Pauli matrices      74
Pauli principle      68 80 205-206 229
Pauli spin matrices      266
Perturbation      10
Perturbation series      270 271
Perturbation theory      47 48 49 214 272 277-278 296
Perturbative scheme      48
Phase coherence      296 306
Phenomenological model of local moments      53
Phonon scattering      293 298
Phonons      175
Phonons, absorption of      261 263
Phonons, absorption rate of      183
Phonons, acoustic      178-179
Phonons, and resistance      187
Phonons, Boltzmann equation for      188-190
Phonons, distribution function      188
Phonons, emission rates      184
Phonons, emissions of      261-262
Phonons, interaction with electrons      179-184
Phonons, lattice collisions      188-196
Phonons, low-frequency phonons      186
Phonons, phonon drag      197-199
Phonons, scattering rate of      72
Phonons, superconductors and      260
Phonons, transverse      265
Phonons, ultrasonic attenuation      184-186
Pippard coherence length      223
Plasma excitation      167
Plasma oscillations      118-121 149
Plasma oscillations, and sound propagation in metal      199-202
Plasma oscillations, Coulomb interaction of      118
Plasma oscillations, Hamiltonian for      118
Plasma oscillations, light dispersions from      121
Plasma oscillations, Maxwell equation and      121
Plasma oscillations, random-phase approximation      120
Plasma stopping power, Bethe approach to      141
Plasma stopping power, Coulomb interactions and      141
Plasmons      118
Poisson equation      367
Poor man's scaling      97-105
Potential      219
Quantum critical      335 339
Quantum Hall      171 172
Quantum Hall effect      308 349-371
Quantum Hall effect, and Hall angle      350
Quantum Hall effect, and Hall conductance      352 357
Quantum Hall effect, and Hall field      351
Quantum Hall effect, and Hall plateaus      352
Quantum Hall effect, and Hall resistance      352
Quantum Hall effect, and Hall voltage      349 351 352-353 359 364
Quantum Hall effect, and integer      354
Quantum Hall effect, and Laughlin liquid      364-371
Quantum Hall effect, and quantum Hall plateaus      359
Quantum Hall effect, disorder      357-359
Quantum Hall effect, edge currents      359-364
Quantum Hall Effect, fractional      354
Quantum Hall effect, Landau levels      see Landau levels
Quantum Hall effect, nature of charge transport in      363
Quantum Hall problem      371
Quantum Hall state      365-366
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