A selection of papers by theoretical physicist and Nobel laureate J. Robert Schrieffer. In addition to his Nobel Prize-winning work in superconductivity, Professor Schrieffer has made significant contributions to a wide variety of topics in condensed matter physics. These include the theory of soliton excitations in polyacetylene (a clear example of spin-charge separation in a condensed matter system), paramagnon theory, magnetic impurities, the physics of surfaces, high-Tc superconductivity, and the fractional quantum Hall effect. The papers are reviewed and placed in context by experts. The guest contributors are A. Alexandrov, T. Einstein, S. Kivelson, D. Scalapino, F. Wilczek, J.W. Wilkins and S.C. Zhang.
Author(s): J. R. Schrieffer, N. E. Bonesteel, L. P. Gorkov
Series: World Scientific Series in 20th Century Physics, V. 30
Publisher: World Scientific Publishing Co Pte Ltd
Year: 2003
Language: English
Pages: 524
Tags: Физика;Физика твердого тела;
Contents......Page 10
Preface......Page 8
I Superconductivity......Page 15
1.2 The BCS Theory......Page 17
1.3 Strong Coupling Superconductors......Page 20
1.4 Spin Fluctuations and Superconductivity......Page 22
References......Page 23
Microscopic Theory of Superconductivity......Page 26
I. INTRODUCTION......Page 29
II. THE GROUND STATE......Page 32
III. EXCITED STATES......Page 37
IV. CALCULATION OF MATRIX ELEMENTS......Page 42
V. ELECTRODYNAMIC PROPERTIES......Page 46
APPENDIX A. CORRECTIONS TO GROUND STATE ENERGY......Page 52
APPENDIX B. CHANGE IN ZERO-POINT ENERGY OF LATTICE VIBRATIONS......Page 53
APPENDIX C. EVALUATION OF THE KERNEL IN THE PIPPARD INTEGRAL......Page 54
APPENDIX D. CORRELATION OF ELECTRONS OF OPPOSITE SPIN......Page 57
Theory of the Meissner Effect......Page 59
I. INTRODUCTION......Page 61
II. EQUATIONS OF MOTION......Page 62
III. SOLUTIONS OF EQUATIONS OF MOTION......Page 66
IV. CORRECTIONS TO THE ANDERSON-RICKAYZEN EQUATIONS......Page 72
V. CONCLUSIONS......Page 73
Calculation of the Quasiparticle Recombination Time in a Superconductor......Page 74
2. The Pairing Approximation......Page 76
3. Greens' Function Approach......Page 78
4. Collective States......Page 79
5. Modified Single-Particle Spectrum......Page 81
References......Page 82
Effective Tunneling Density of States in Superconductors......Page 83
I. INTRODUCTION......Page 87
II. SELF-ENERGY EQUATIONS......Page 89
III. THE SINGLE-PARTICLE TUNNELING CURRENT......Page 94
IV. ZERO-TEMPERATURE SOLUTIONS OF THE SELF-ENERGY EQUATIONS AND CALCULATION OF THE TUNNELING DENSITY OF STATES......Page 96
V. CONCLUSION......Page 100
APPENDIX A: COULOMB PSEUDOPOTENTIAL Uc......Page 101
APPENDIX B: REDUCTION OF THE TUNNELING RATE EXPRESSION......Page 102
Effect of Ferromagnetic Spin Correlations on Superconductivity......Page 104
On the Description of Nearly Ferromagnetic Fermion Systems......Page 107
References......Page 109
The Sign of the Interference Current Component in Superconducting Tunnel Junctions......Page 110
2. CLASSICAL CASE......Page 111
3. PHENOMENOLOGICAL ACCOUNT OF A FINITE RIEDEL PEAK WIDTH......Page 113
4. SPECIFIC MECHANISMS BROADENING THE SINGULARITIES......Page 114
5. COMPARISON WITH EXPERIMENT......Page 117
APPENDIX......Page 118
Rotating Superfluidity in Nuclei......Page 120
John Bardeen 1908-1991......Page 124
I. INTRODUCTION......Page 127
II. FORMALISM......Page 129
III. MAGNETIC MOMENT IN AN s-WAVE SUPERCONDUCTOR......Page 130
IV. MAGNETIC MOMENT IN A d-WAVE SUPERCONDUCTOR......Page 133
APPENDIX A: IMPURITY SCATTERING IN BOGOLIUBOV-VALATIN FORMULATION......Page 137
APPENDIX B: T MATRIX FORMALISM APPLIED TO FORMATION OF IMPURITY BAND......Page 138
II. LINEAR RESPONSE OF A MICROSTRIP RESONATOR: Q......Page 141
III. NONLINEAR RESPONSE OF A MICROSTRIP RESONATOR: INTERMODULATION......Page 142
IV. MATERIAL PROPERTIES: CURRENT STATUS AND IDEAL VALUES......Page 143
V. INTERMODULATION IN FILTERS: INTRINSIC LIMITS......Page 144
VI. SUMMARY......Page 145
II Solitons and Fractional Quantum Numbers......Page 147
2.1 The Secret of Fractional Charge......Page 149
2.2 Polyacetylene and the Schrieffer Counting Argument......Page 151
2.3 Field Theory Models of Fractional Charge......Page 152
2.4 Varieties of Charge......Page 156
2.5 Fractional Quantum Numbers with Abstract Vortices......Page 161
2.6 Fractional Quantum Numbers in the Quantum Hall Effect......Page 163
References......Page 165
I. INTRODUCTION......Page 167
II. MODEL AND EXCITATIONS OF THE SYSTEM......Page 168
III. EQUILIBRIUM THERMODYNAMICS OF THE ONE-DIMENSIONAL MODEL: "EXACT"......Page 171
IV. STATISTICAL MECHANICS OF DOMAIN WALLS......Page 173
V. APPLICATIONS OF THE PHENOMENOLOGICAL MODEL......Page 174
VI. SUMMARY AND DISCUSSION......Page 176
I. INTRODUCTION......Page 178
II. MODEL AND LINEARIZED SOLUTIONS......Page 179
III. NONLINEAR PROCESSES......Page 181
IV. STATISTICAL MECHANICS AND DIFFUSION CONSTANT......Page 185
V. DISCUSSION......Page 187
APPENDIX A: ORTHONORMALITY RELATION (2.11c) AND COMPLETENESS RELATION (2.12)......Page 189
APPENDIX C: DERIVATION OF EQ. (3.17a)......Page 190
APPENDIX E: DERIVATION OF EQ. (4.4)......Page 191
II. MODEL HAMILTONIAN......Page 194
III. PERFECTLY DIMERIZED CHAIN......Page 196
IV. SOLITON EXCITATION......Page 199
V. DOPING EFFECTS......Page 203
VI. COMPARISON WITH EXPERIMENT; CONCLUSION......Page 204
Soliton Dynamics in Polyacetylene......Page 207
Fractionally Charged Excitations in Charge-Density-Wave Systems with Commensurability 3......Page 211
1. Introduction......Page 215
2. Solitons in a one-dimensional electron-phonon system......Page 216
3. Fermionic solitons in a relativistic field theory......Page 221
4. Discussion......Page 225
References......Page 227
I. INTRODUCTION......Page 228
II. QUANTUM FLUCTUATIONS OF THE SOLITON CHARGE......Page 229
III. CONCLUSION......Page 231
Solitons in Superfluid 3He-A: Bound States on Domain Walls......Page 233
1. Introduction......Page 237
2. Equations of motion......Page 238
3. Potential energy calculation......Page 241
4. Equations of motion for the collective coordinates......Page 245
5. Numerical results......Page 247
References......Page 248
Appendix A......Page 249
Appendix B: coefficients of the equations of motion......Page 250
Statistical Mechanics of Anyons......Page 252
References......Page 260
2. The effective phonon Hamiltonian and overlap integrals......Page 262
3. Results......Page 264
References......Page 265
Shape of Solitons in Classically Forbidden States: "Lorentz Expansion"......Page 267
References......Page 268
Topological Excitations of One-Dimensional Correlated Electron Systems......Page 269
Fractional Electrons in Liquid Helium?......Page 273
References......Page 275
III Quantum Hall Effect......Page 277
3.2 Fractional Statistics and the Quantum Hall Effect......Page 279
3.3 Cooperative Ring Exchange Theory......Page 280
References......Page 282
Fractional Statistics and the Quantum Hall Effect......Page 284
Cooperative-Ring-Exchange Theory of the Fractional Quantized Hall Effect......Page 286
I. INTRODUCTION......Page 290
II. PATH-INTEGRAL FORMULATION......Page 292
III. MAPPING ONTO A DISCRETE MODEL......Page 298
IV. ELEMENTARY EXCITATIONS......Page 302
V. CONCLUSIONS......Page 306
APPENDIX A: THE PHASE OF THE PREFACTOR......Page 307
APPENDIX B: SINGLE-PARTICLE BASIS......Page 308
APPENDIX C: COHERENT-STATE PATH INTEGRATION......Page 309
APPENDIX D: ACTION FOR A DISPLACED LINE......Page 311
APPENDIX F: RING EXCHANGE AND MAGNETOPHONONS......Page 313
IV Surfaces......Page 317
Schrieffer's Contributions to Surface Physics......Page 319
References......Page 323
I. INTRODUCTION......Page 325
II. GENERAL THEORY......Page 326
III. APPLICATIONS......Page 329
I. Introduction......Page 331
II. SCF-MO Approach......Page 332
III. Electron-Electron Correlation Effects......Page 335
References......Page 338
I. INTRODUCTION......Page 339
II. MODEL......Page 340
III. CALCULATION RESULTS......Page 348
IV. CONCLUSION......Page 357
Errata for Phys. Rev. B 7 3629 (1973)......Page 359
I. INTRODUCTION......Page 360
II. FORMALISM......Page 361
III. GAS-PHASE CROSS SECTION......Page 362
IV. ORIENTED MOLECULES......Page 366
V. MOLECULES ADSORBED ON SURFACES......Page 370
APPENDIX B: GAS-PHASE DIFFERENTIAL CROSS SECTIONS......Page 371
V Magnetism and Magnetic Impurities......Page 373
The Schrieffer-Wolff Transformation......Page 375
References......Page 376
I. INTRODUCTION AND THEOREMS......Page 377
II. ONE-PARTICLE GREEN'S FUNCTION......Page 380
III . THE VERTEX FUNCTION......Page 381
IV. DEGENERATE ORBITALS......Page 383
APPENDIX......Page 384
Relation Between the Anderson and Kondo Hamiltonians......Page 385
2. EXCHANGE INTERACTION HAMILTONIAN......Page 387
3. RESISTIVITY AND THE KONDO EFFECT......Page 389
4. RUDERMAN-KITTEL INTERACTION......Page 390
5. DEPRESSION OF SUPERCONDUCTING TRANSITION TEMPERATURE......Page 391
6. COMPARISON WITH EXPERIMENTS......Page 392
7. CONCLUSION......Page 393
Theory of Itinerant Ferromagnets Exhibiting Localized-Moment Behavior Above the Curie Point......Page 394
Theory of Itinerant Ferromagnets with Localized-Moment Characteristics: Two-Center Coupling in the Functional-Integral Scheme......Page 398
II. THE FUNCTIONAL INTEGRAL FORMULATION OF THE HUBBARD MODEL......Page 401
III. FORMAL EXPRESSION FOR Z(E1 E2 ... EN)......Page 403
IV. THE ONE-CENTER PROBLEM......Page 404
VI. THE N-CENTER PROBLEM......Page 406
Generalized Ruderman-Kittel-Kasuya-Yosida Theory of Oscillatory Exchange Coupling in Magnetic Multilayers......Page 407
VI Electrons and Phonons......Page 411
Schrieffer's Work on the Theory of Electrons and Phonons......Page 413
References......Page 416
Collective Behavior in Solid-State Plasmas......Page 418
APPENDIX......Page 431
I ELECTRON SPECTRUM IN THE EINSTEIN MODEL......Page 432
III. MULTIPLE-PHONON PRODUCTION......Page 436
IV. ELECTRONIC POLARIZABILITY......Page 438
V. ELECTRON SPECTRUM IN THE DEBYE MODEL......Page 441
CONCLUSION......Page 442
APPENDIX A. FORMAL DEVELOPMENT OF EQUATIONS......Page 443
APPENDIX B. WARD IDENTITIES......Page 445
Radiative Corrections to the Long-Wavelength Optical-Mode Spectrum of the Electron-Phonon Model: Absence of Mode-Splitting Effects and Hardening of the Mode......Page 448
VII High-Tc Superconductivity......Page 451
Schrieffer's Papers on High-Tc Superconductivity......Page 453
References......Page 455
Pairing-Bag Excitations in Small-Coherence-Length Superconductors......Page 456
I. INTRODUCTION......Page 460
II. COLLECTIVE MODES......Page 462
III. PAIRING POTENTIAL......Page 466
IV. GAP EQUATION......Page 469
V. DISCUSSION......Page 473
I. Introduction......Page 476
2. Self-energy......Page 477
3. Pairing interaction......Page 478
References......Page 479
I. INTRODUCTION......Page 480
II. MODEL SUSCEPTIBILITY......Page 481
III. SELF-ENERGY......Page 483
V. PAIRING INTERACTION AND THE GAP EQUATION......Page 485
VI. SUMMARY AND CONCLUSION......Page 488
Constructing Quasiparticle Operators in Strongly Correlated Systems......Page 490
I. INTRODUCTION......Page 494
II . SYMMETRY OF THE GAP......Page 495
III . EQUATIONS FOR COMPOSITE ODD SUPERCONDUCTIVITY......Page 496
IV. MEISSNER EFFECT......Page 499
VI. NUCLEAR MAGNETIC RELAXATION RATE......Page 500
VII. IMPURITY SCATTERING......Page 501
1. Introduction......Page 502
3. Fluctuating Antiferromagnetic Order......Page 504
REFERENCES......Page 506
Momentum Temperature and Doping Dependence of Photoemission Lineshape and Implications for the Nature of the Pairing Potential in High-Tc Superconducting Materials......Page 508
Unusual States of Inhomogeneous dx2-y2+idxy Superconductors......Page 512
Collective Excitations in High-Temperature Superconductors......Page 516
de Haas-van Alphen Effect in Anisotropic Superconductors in Magnetic Fields Well Below Hc2......Page 520
