Fractional statistics and anyon superconductivity

목차 (Table of Contents)

• CONTENTS
• Introduction = ⅴ
• Part I. CONCEPTS IN FRACTIONAL STATISTICS = 1
• 1. Transmutation and Fractionization of Angular Momentum = 4
• 2. Fractional Statistics: Trajectory Space and the Braid Group = 11
• 3. Fictitious Field Construction, and Quantum Mechanical Examples = 17
• 4. Aharonov-B$$\ddot o$$hm Scattering and its Implications = 21
• 5. Hopf Term = 27
• 6. Local Field Theory； Chern-Simons Construction = 34
• 7. Berry Phase and Anyons in the Quantized Hall Effect = 40
• 8. Induced Quantum Numbers = 47
• 9. Boundary and Coboundary = 50
• Part II. STATES OF ANYON MATTER = 57
• 1. Definition of Anyons = 60
• 2. Average Field Theory = 62
• 3. Anyon Superconductivity: Basic Mechanism = 65
• 4. Anyon Superconductivity: Phenomenology = 72
• 5. Adiabatic Principle = 80
• 6. More Superconducting States = 82
• 7. Quantized Hall States = 83
• 8. Anyon Metal = 87
• 9. Microscopic Origins = 89
• 10. Conclusions = 98
• Part III. REPRINTED PAPERS = 103
• 1. Classics = 105
• "Connection between Spin, Statistics, and Kinks", J. Math. Phys. 9 (1968) 1762-1779 / D. Finkelstein ; J. Rubinstein = 107
• "Significance of Electromagnetic Potentials in the Quantum Theory", Phys. Rev. 115 (1959) 485-491 / Y. Aharonov ; D. B$$\ddot o$$hm = 125
• "On the Theory of Identical Particles", Il Nuovo Cimento 37 (1977) 1-23 / J. M. Leinaas ; J. Myrheim = 132
• 2. The Last Bastion of Rationality = 157
• "Fractional Quantum Numbers on Solitons", Phys. Rev. Lett. 47 (1981) 986-989 / J. Goldstone ; F. Wilczek = 159
• "Magnetic Flux, Angular Momentum, and Statistics", Phys. Rev. Lett. 48 (1982) 1144-1146 / F. Wilczek = 163
• "Quantum Mechanics of Fractional-Spin Particles", Phys. Rev. Lett. 49 (1982) 957-959 / F. Wilczek = 166
• 3. Foundations = 171
• "Statistical Mechanics of Anyons", Nucl. Phys. B251(1985) 117-126 / D. P. Arovas ; R. Schrieffer ; F. Wilczek ; A. Zee = 173
• "General Theory for Quantum Statistics in Two Dimensions", Phys. Rev. Lett. 52 (1984) 2103-2106 / Y. S. Wu = 183
• "Are Cyons Really Anyons?", Phys. Lett. B214(1988) 471-474 / A. S. Goldhaber ; R. Mackenzie = 187
• "Field Corrections to Induced Statistics", Mod. Phys. Lett. A4 (1989) 21-31 / A. S. Goldhaber ; R. Mackenzie ; F. Wilczek = 191
• "Quantum Field Theory of Anyons", Lett. Math. Phys. 16(1988) 347-358 / J. Fr$$\ddot o$$hlich ; P.-A. Marchetti = 202
• "Fermi-Bose Transmutations Induced by Gauge Fields", Mod. Phys. Lett. A3 (1988) 325-328 / A. M. Polyakov = 214
• 4. Anyons in Model Field Theories = 221
• "Linking Numbers, Spin, and Statistics of Solitons", Phys. Rev. Lett. 51 (1983) 2250-2252 / F. Wilczek ; A. Zee = 222
• "Parity Violation and Gauge Noninvariance of the Effective Gauge Field Action in Three Dimensions", Phys. Rev. D29 (1984) 2366-2374 / A. N. Redlich = 225
• "Induced Quantum Numbers in some 2+1 Dimensional Models", Int. J. Mod. Phys. B3 (1989) 117-128 / Y.-H. Chen ; F. Wilczek = 234
• 5. Anyons in the Quantized Hall Effect = 249
• "Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States", Phys. Rev. Lett. 52 (1984) 1583-1586 (Erratum: Phys. Rev. Lett. 52 (1984) 2390) / B. I. Halperin = 251
• "Fractional Statistics and the Quantum Hall Effect", Phys. Rev. Lett. 53 (1984) 722-723 / D. Arovas ; J. R. Schrieffer ; F. Wilczek = 256
• "Off-Diagonal Long-Range Order, Oblique Confinement, and the Fractional Quantum Hall Effect", Phys. Rev. Lett. 58 (1987) 1252-1255 / S. M. Girvin ; A. H. MacDonald = 258
• "Fractional Statistics in the Quantum Hall Effect" / R. B. Laughlin = 262
• 6. Chiral Spin States = 307
• "Equivalence of the Resonating-Valence-Bond and Fractional Quantum Hall States", Phys. Rev. Lett. 59 (1987) 2095-2098 / V. Kalmeyer ; R. B. Laughlin = 308
• "Chiral Spin States and Superconductivity", Phys. Rev. B39 (1989) 11413-11423 / X.-G. Wen ; F. Wilczek ; A. Zee = 312
• 7. Anyon Superconductivity = 325
• "The Relationship between High-Temperature Superconductivity and the Fractional Quantum Hall Effect", Science 242 (1988) 525-533 / R. B. Laughlin = 326
• "Superconducting Ground State of Noninteracting Particles Obeying Fractional Statistics", Phys. Rev. Lett. 60 (1988) 2677-2680 / R. B. Laughlin = 335
• "Random-Phase Approximation in the Fractional-Statistics Gas", Phys. Rev. B39 (1989) 9679-9681 / A. L. Fetter ; C. B. Hanna ; R. B. Laughlin = 339
• "On Anyon Superconductivity", Int. J. Mod. Phys. B3 (1989) 1001-1067 / Y.-H. Chen ; F. Wilczek ; E. Witten ; B. I. Halperin = 342
• 8. Some Recent Directions = 411
• "Anyons, the Quantum Hall Effect, and Two-Dimensional Superconductivity", Int. J. Mod. Phys. B3 (1989) 1943-1963 / G. S. Canright ; S. M. Girvin = 413
• "Anyon Superconductivity and the Fractional Quantum Hall Effect", Phys. Rev. Lett. 63 (1989) 903-906 (Erratum: Phys. Rev Lett. 63 (1989) / D.-H. Lee ; M. P. A. Fisher = 434
• "Boson-Vortex-Skyrmion Duality, Spin-Singlet Fractional Quantum Hall Effect, and Spin-1／2 Anyon Superconductivity", Phys. Rev. Lett. 64 (1990) 1313-1317 / D.-H. Lee ; C. L. Kane = 439
• "Fractional Statistics on a Torus", Phys. Rev. Lett. 64 (1990) 1995-1998 / T. Einarsson = 444