Cover image for A quantum approach to condensed matter physics
Title:
A quantum approach to condensed matter physics
Author:
Taylor, Philip L. (Philip Lester)
Publication Information:
Cambridge, UK ; New York, NY : Cambridge University Press, [2002]

©2002
Physical Description:
x, 414 pages : illustrations ; 26 cm
Language:
English
Added Author:
ISBN:
9780521771030

9780521778275
Format :
Book

Available:*

Library
Call Number
Material Type
Home Location
Status
Central Library QC173.454 .T39 2002 Adult Non-Fiction Non-Fiction Area
Searching...

On Order

Summary

Summary

This textbook is an accessible introduction to the theory underlying the many fascinating properties of solids. Assuming only an elementary knowledge of quantum mechanics, it describes the methods by which one can perform calculations and make predictions of some of the many complex phenomena that occur in solids and quantum liquids. The emphasis is on reaching important results by direct and intuitive methods, and avoiding unnecessary mathematical complexity. Designed as a self-contained text that starts at an elementary level and proceeds to more advanced topics, this book is aimed primarily at advanced undergraduate and graduate students in physics, materials science, and electrical engineering. Problem sets are included at the end of each chapter, with solutions available to lecturers. The coverage of some of fascinating developments in condensed matter physics will also appeal to experienced scientists in industry and academia working on electrical properties of materials.


Reviews 1

Choice Review

Taylor (Case Western Reserve Univ.) and Heinonen (Seagate Technology) have prepared a fine graduate-level introduction to the traditional core of condensed matter physics, the quantum theory of solids. Graduate students will appreciate the clear, concise style and the gentle introduction to topics such as second quantization and the BCS theory of superconductivity. Nevertheless, this is a sophisticated, theoretically oriented book, and students are advised to work their way through it carefully. Experienced condensed matter scientists will appreciate the treatment in later chapters of contemporary topics such as mesoscopic physics and the quantum Hall effect. There is a small but carefully selected annotated bibliography that students will find helpful. Interestingly, this book has very little overlap with P.M. Chaikin and T.C. Lubensky's fine Principles of Condensed Matter Physics (1995), which covers a variety of modern topics in "soft" condensed matter physics. Together, the two books give a good picture of condensed matter theory at the graduate level. Taylor's book is a worthwhile addition for any university with a graduate program in condensed matter physics or related fields. Graduate students through professionals. M. C. Ogilvie Washington University


Table of Contents

Prefacep. ix
Chapter 1 Semiclassical introductionp. 1
1.1 Elementary excitationsp. 1
1.2 Phononsp. 4
1.3 Solitonsp. 7
1.4 Magnonsp. 10
1.5 Plasmonsp. 12
1.6 Electron quasiparticlesp. 15
1.7 The electron--phonon interactionp. 17
1.8 The quantum Hall effectp. 19
Problemsp. 22
Chapter 2 Second quantization and the electron gasp. 26
2.1 A single electronp. 26
2.2 Occupation numbersp. 31
2.3 Second quantization for fermionsp. 34
2.4 The electron gas and the Hartree--Fock approximationp. 42
2.5 Perturbation theoryp. 50
2.6 The density operatorp. 56
2.7 The random phase approximation and screeningp. 60
2.8 Spin waves in the electron gasp. 71
Problemsp. 75
Chapter 3 Boson systemsp. 78
3.1 Second quantization for bosonsp. 78
3.2 The harmonic oscillatorp. 80
3.3 Quantum statistics at finite temperaturesp. 82
3.4 Bogoliubov's theory of heliump. 88
3.5 Phonons in one dimensionp. 93
3.6 Phonons in three dimensionsp. 99
3.7 Acoustic and optical modesp. 102
3.8 Densities of states and the Debye modelp. 104
3.9 Phonon interactionsp. 107
3.10 Magnetic moments and spinp. 111
3.11 Magnonsp. 117
Problemsp. 122
Chapter 4 One-electron theoryp. 125
4.1 Bloch electronsp. 125
4.2 Metals, insulators, and semiconductorsp. 132
4.3 Nearly free electronsp. 135
4.4 Core states and the pseudopotentialp. 143
4.5 Exact calculations, relativistic effects, and the structure factorp. 150
4.6 Dynamics of Bloch electronsp. 160
4.7 Scattering by impuritiesp. 170
4.8 Quasicrystals and glassesp. 174
Problemsp. 179
Chapter 5 Density functional theoryp. 182
5.1 The Hohenberg--Kohn theoremp. 182
5.2 The Kohn--Sham formulationp. 187
5.3 The local density approximationp. 191
5.4 Electronic structure calculationsp. 195
5.5 The Generalized Gradient Approximationp. 198
5.6 More acronyms: TDDFT, CDFT, and EDFTp. 200
Problemsp. 207
Chapter 6 Electron--phonon interactionsp. 210
6.1 The Frohlich Hamiltonianp. 210
6.2 Phonon frequencies and the Kohn anomalyp. 213
6.3 The Peierls transitionp. 216
6.4 Polarons and mass enhancementp. 219
6.5 The attractive interaction between electronsp. 222
6.6 The Nakajima Hamiltonianp. 226
Problemsp. 230
Chapter 7 Superconductivityp. 232
7.1 The superconducting statep. 232
7.2 The BCS Hamiltonianp. 235
7.3 The Bogoliubov--Valatin transformationp. 237
7.4 The ground-state wave function and the energy gapp. 243
7.5 The transition temperaturep. 247
7.6 Ultrasonic attenuationp. 252
7.7 The Meissner effectp. 254
7.8 Tunneling experimentsp. 258
7.9 Flux quantization and the Josephson effectp. 265
7.10 The Ginzburg--Landau equationsp. 271
7.11 High-temperature superconductivityp. 278
Problemsp. 282
Chapter 8 Semiclassical theory of conductivity in metalsp. 285
8.1 The Boltzmann equationp. 285
8.2 Calculating the conductivity of metalsp. 288
8.3 Effects in magnetic fieldsp. 295
8.4 Inelastic scattering and the temperature dependence of resistivityp. 299
8.5 Thermal conductivity in metalsp. 304
8.6 Thermoelectric effectsp. 308
Problemsp. 313
Chapter 9 Mesoscopic physicsp. 315
9.1 Conductance quantization in quantum point contactsp. 315
9.2 Multi-terminal devices: the Landauer--Buttiker formalismp. 324
9.3 Noise in two-terminal systemsp. 329
9.4 Weak localizationp. 332
9.5 Coulomb blockadep. 336
Problemsp. 339
Chapter 10 The quantum Hall effectp. 342
10.1 Quantized resistance and dissipationless transportp. 342
10.2 Two-dimensional electron gas and the integer quantum Hall effectp. 344
10.3 Edge statesp. 353
10.4 The fractional quantum Hall effectp. 357
10.5 Quasiparticle excitations from the Laughlin statep. 361
10.6 Collective excitations above the Laughlin statep. 367
10.7 Spinsp. 370
10.8 Composite fermionsp. 376
Problemsp. 380
Chapter 11 The Kondo effect and heavy fermionsp. 383
11.1 Metals and magnetic impuritiesp. 383
11.2 The resistance minimum and the Kondo effectp. 385
11.3 Low-temperature limit of the Kondo problemp. 391
11.4 Heavy fermionsp. 397
Problemsp. 403
Bibliographyp. 405
Indexp. 411

Google Preview