Fractional statistics and anyon superconductivity

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Datensatz im Suchindex

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adam_text Vil Contents Introduction ........................................................................................................................... v Part L 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-Böhm 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 Partu. 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 PartnL REPRINTED PAPERS 103 1. Classics 105 D. Finkelstein and J. Rubinstein, Connection between Spin, Statistics, and Kinks , J. Math. Phys. fl (1968) 1762-1779..........................................................107 Y. Aharonov and D. B6hm, Significance of Electromagnetic Potentials in the Quantum Theory , Phys. Rev. 115 (1959) 485-491..........................................125 J. M. Leinaas and J. Myrheim, On the Theory of Identical Partides , Л Nuovo Cimento 37 (1977) 1-23.................................................................................. 132 2. The Last Bastion of Rationality 157 J. Goldstone and F. Wilczek, Fractional Quantum Numbers on Solitons , Phys. Rev. hett. 47 (1981) 986-989...............................................................................159 VIU F. Wilczek, Magnetic Flux, Angular Momentum, and Statistics , Phya. Rev. Lett. 48 (1982) 1144-1146...........................................................................163 F. Wilczek, Quantum Mechanics of Fractional-Spin Particles , Phys. Rev. Lett. 49 (1982) 957-959............................................................................... 166 3. Foundations 171 D. P. Arovas, R. Schrieffer, F. Wilczek and A. Zee, Statistical Mechanics of Anyone , Nud. Phya. В251Ц985) 117-126.............................................................. 173 Y. S. Wu, General Theory for Quantum Statistics in Two Dimensione , Phys. Rev. Lett. 52 (1984) 2103-2106...........................................................................183 A. S. Goldhaber and R. Mackenzie, Are Cyons Really Anyone? , Phys. Lett. В214Ц988) 471-474.................................................................................. 187 A. S. Goldhaber, R. Mackenzie and F. Wilczek, Field Corrections to Induced Statistics , Mod. Phys. Lett. A4 (1989) 21-31................................................ 191 J. Fröhlich and P.-A. Marchetti, Quantum Field Theory of Anyone , Lett. Math. Phys. 16(1988)347-358.............................................................................202 A. M. Polyakov, Fermi-Bose Transmutations Induced by Gauge Fields , Mod. Phys. Lett. A3 (1988) 325-328.............................................................................214 4. Anyone in Model Field Theories 221 F. Wilczek and A. Zee, Linking Numbers, Spin, and Statistics of Solitons , Phys. Rev. Lett. 51(1983) 2250-2252...........................................................................222 A. N. Redlich, Parity Violation and Gauge Noninvariance of the Effective Gauge Field Action in Three Dimensions , Phys. Rev. D29 (1984)2366-2374.......................................................................................................... 225 Y.-H. Chen and F. Wilczek, Induced Quantum Numbers in some 2+1 Dimensional Models , Int. J. Mod. Phys. BS (1989) 117-128.....................................234 6. Anyone in the Quantized Hall Effect 249 B. I. Halperin, Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall States , Phya. Rev. Lett. 52 (1984) 1583-1586 (Erratum: Phya. Rev. Lett. 52(1984)2390).................................................................251 D. Arovae, J. R. Schrieffer and F. Wilczek, Fractional Statistics and the Quantum НаИ Effect , Phya. Rev. Lett. 53 (1984) 722-723........................................266 їх S. M. Girvin and A. H. MacDonald, Off-Diagonal Long-Range Order, Oblique Confinement, and the Fractional Quantum Hall Effect , Phys. Rev. Lett. 58 (1987) 1252-1255...........................................................................258 R. B. Laughlin, Fractional Statistics in the Quantum Hall Effect ..........................262 6. Chiral Spin States 307 V. Kalmeyer and R. B. Laughlin, Equivalence of the Resonating-Valence-Bond and Fractional Quantum Hall States , Phys. Rev. Lett. 59 (1987) 2095-2098..........308 X.-G. Wen, F. Wilczek and A. Zee, Chiral Spin States and Superconductivity , Phys. Rev. B39 (1989) 11413-11423...........................................312 7. Anyon Superconductivity 325 R. B. Laughlin, The Relationship between High-Temperature Superconductivity and the Fractional Quantum Hall Effect , Science 242 (1988) 525-533..........................................................................................326 R. B. Laughlin, Superconducting Ground State of Noninteracting Particles Obeying Fractional Statistics , Phys. Rev. Lett. 60 (1988) 2677-2680.......................................................................................................................335 A. L. Fetter, C. B. Hanna and R. B. Laughlin, Random-Phase Approximation in the Fractional-Statistics Gas , Phys. Rev. B39 (1989) 9679-9681........................339 Y.-H. Chen, F. Wilczek, E. Witten and B. L Halperin, On Anyon Superconductivity , Int. J. Mod. Phys. ВЗ (1989) 1001-1067.....................................342 8. Some Recent Directions 411 G. S. Canright and S. M. Girvin, Anyone, the Quantum Hall Effect, and Two-Dimensional Superconductivity , Int. J. Mod. Phys. B3 (1989) 1943-1963......................................................................................................................413 D.-H. Lee and M. P. A. Fisher, Anyon Superconductivity and the Fractional Quantum Hall Effect , Phys. Rev. Lett. 63 (1989) 903-906 (Erratum: Phys. Rev. Lett. 63 (1989) ...................................................................434 D.-H. Lee and C. L. Kane, Boson-Vortex-Skyrmion Duality, Spin-Singlet Fractional Quantum Hall Effect, and Spin- 1/2 Anyon Superconductivity , Phys. Rev. Leu. 64 (1990) 1313-1317...........................................................................439 T. Einarsson, Fractional Statistics on a Torus , Phys. Rev. Lett. 64 (1990) 1995-1998......................................................................................................444
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physical IX, 447 S. graph. Darst.
publishDate 1990
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spellingShingle Fractional statistics and anyon superconductivity
Anionen gtt
Hall quantique, Effet
Kwantummechanica gtt
Statistique quantique
Supraconductivité à hautes températures
Veldentheorie gtt
Anyon superconductivity
High temperature superconductivity
Quantum Hall effect
Quantum statistics
Quantenstatistik (DE-588)4047991-2 gnd
Anyon (DE-588)4297559-1 gnd
Supraleitung (DE-588)4058651-0 gnd
subject_GND (DE-588)4047991-2
(DE-588)4297559-1
(DE-588)4058651-0
(DE-588)4143413-4
title Fractional statistics and anyon superconductivity
title_auth Fractional statistics and anyon superconductivity
title_exact_search Fractional statistics and anyon superconductivity
title_full Fractional statistics and anyon superconductivity Frank Wilczek
title_fullStr Fractional statistics and anyon superconductivity Frank Wilczek
title_full_unstemmed Fractional statistics and anyon superconductivity Frank Wilczek
title_short Fractional statistics and anyon superconductivity
title_sort fractional statistics and anyon superconductivity
topic Anionen gtt
Hall quantique, Effet
Kwantummechanica gtt
Statistique quantique
Supraconductivité à hautes températures
Veldentheorie gtt
Anyon superconductivity
High temperature superconductivity
Quantum Hall effect
Quantum statistics
Quantenstatistik (DE-588)4047991-2 gnd
Anyon (DE-588)4297559-1 gnd
Supraleitung (DE-588)4058651-0 gnd
topic_facet Anionen
Hall quantique, Effet
Kwantummechanica
Statistique quantique
Supraconductivité à hautes températures
Veldentheorie
Anyon superconductivity
High temperature superconductivity
Quantum Hall effect
Quantum statistics
Quantenstatistik
Anyon
Supraleitung
Aufsatzsammlung
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