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Quantum hall fluids

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Field Theory, Topology and Condensed Matter Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 456))

Abstract

We review the effective field theory treatment of topological quantum fluids, focussing on the Hall fluids.

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References

  1. Zee, A.: High Temperature Superconductivity edited by Bedell, K., Coffey, D., Pines, D., Schrieffer, J.R. (Addison-Wesley 1990)

    Google Scholar 

  2. Zee, A.: in Particle Physics, ed. Éboli, O. et al.: Physics in (2+1)-Dimension, ed. Cho, Y.M.: Cosmology and Elementary Particles ed. Altschuler, D. (World Scientific)

    Google Scholar 

  3. The Quantum Hall Effect edited by Prange, R.E., Girvin, S.M. (Springer-Verlag, New York 1987)

    Google Scholar 

  4. Ando, T., Matsumoto, Y., Uemura, Y.: J. Phys. Soc. Japan 39 (1975) 279

    Article  ADS  Google Scholar 

  5. Quantum Coherence edited by Anandan, J.S. (World Scientific 1990)

    Google Scholar 

  6. Leinaas, J.M., Myrheim, J.: Nuovo Cimento 37B (1977) 1

    ADS  Google Scholar 

  7. Wilczek, F.: Phys. Rev. Lett. 48 (1982) 1144 Phys. Rev. Lett. 49 (1982) 957

    Article  ADS  MathSciNet  Google Scholar 

  8. Wilczek, F., Zee, A.: Phys. Rev. Lett. 51 (1983) 2250

    Article  ADS  MathSciNet  Google Scholar 

  9. Arovas, D., Schrieffer, R., Wilczek, F., Zee, A.: Nucl. Phys. B251 (1985) 117

    Article  ADS  MathSciNet  Google Scholar 

  10. Schwarz, A.: Lett. Math. Phys. 2 (1978) 201; Comm. Math. Phys. 67 (1979) 1; Siegel, W.: Nucl. Phys. B156 (1979) 135

    Article  MATH  ADS  Google Scholar 

  11. Schönfeld, J.F.: Nucl. Phys. B185 (1981) 157; Deser, S., Jackiw, R., Templeton, S.: Phys. Rev. Lett. 48 (1982) 975

    Article  ADS  Google Scholar 

  12. Physics and Mathematics of Anyons edited by Chern, S.S. et al. (World Scientific 1990)

    Google Scholar 

  13. Wen, X.G., Zee, A.: J. de Physique 50 (1989) 1623

    Article  MathSciNet  Google Scholar 

  14. Wu, Y.S., Zee, A.: Phys. Lett. B207 (1988) 39

    ADS  MathSciNet  Google Scholar 

  15. Jain, J.K.: Phys. Rev. Lett. (1989) 199

    Google Scholar 

  16. Jain, J.K.: Phys. Rev. B40 (1989) 8079

    ADS  Google Scholar 

  17. Greiter, M., Wilczek, F.: Mod. Phys. Lett. B 4 (1990) 1063

    Article  ADS  Google Scholar 

  18. Zhang, S.C., Hansson, T.H., Kivelson, S.: Phys. Rev. Lett. 62 (1989) 82

    Article  ADS  Google Scholar 

  19. Girvin, S., MacDonald, A.H.: Phys. Rev. Lett. 58 (1987) 1252; Girvin, S.: in The Quantum Hall Effect edited by Prange, R.E., Girvin, S.M. (Springer-Verlag, New York 1987)

    Article  ADS  Google Scholar 

  20. Wen, X.G., Zee, A.: Nucl. Phys. (suppl.) B15 (1990) 135

    Article  ADS  MathSciNet  Google Scholar 

  21. Blok, B., Wen, X.G.: Phys. Rev. B 42 (1990) 8133; Phys. Rev. B 43 (1991) 8337

    Article  ADS  Google Scholar 

  22. Wen, X.G., Niu, Q.: Phys. Rev. B 41 (1990) 9377

    Article  ADS  Google Scholar 

  23. Wen, X.G., Zee, A.: Phys. Rev. B 44 (1991) 274

    Article  ADS  Google Scholar 

  24. Ezawa, Z.F., Iwasaki, A.: Phys. Rev. B 43 (1991) 2637

    Article  ADS  Google Scholar 

  25. Fröhlich, J., Kerler, T.: Nucl. Phys. B354 (1991) 369

    Article  ADS  Google Scholar 

  26. Fröhlich, J., Zee, A.: Nucl. Phys. B364 (1991) 517

    Article  ADS  Google Scholar 

  27. Tao, R., Wu, Y.S.: Phys. Rev. B39 (1984) 1087

    Google Scholar 

  28. Wen, X.G., Zee, A.: Phys. Rev. B 44 (1991) 274

    Article  ADS  Google Scholar 

  29. Wen, X.G., Zee, A.: Phys. Rev. Lett. 62 (1989) 1937

    Article  ADS  MathSciNet  Google Scholar 

  30. Fisher, M.P.A., Lee, D.H.: Phys. Rev. Lett. 63 (1989) 903; Lee, D.H., Fisher, M.P.A.: Int. J. Mod. Phys B5 (1991) 2675

    Article  ADS  Google Scholar 

  31. Wen, X.G., Zee, A.: Phys. Rev. B41 (1990) 240; Int. J. Mod. Phys. B4 (1990) 437

    ADS  Google Scholar 

  32. Zee, A.: Nucl. Phys. B421 (1994) 111

    Article  ADS  MathSciNet  Google Scholar 

  33. Witten, E.: Comm. Math. Phys. 117 (1988) 353; 121 (1989) 351

    Article  MATH  ADS  MathSciNet  Google Scholar 

  34. Wen, X.G.: Phys. Rev. B40 (1989) 7387; Int. J. Mod. Phys B2 (1990) 239

    ADS  Google Scholar 

  35. Wu, Y.S., Zee, A.: Nucl. Phys. B258 (1985) 157; Nucl. Phys. B272 (1986) 322

    Article  ADS  MathSciNet  Google Scholar 

  36. Haldane, D., Reyazi, E.H.: Phys. Rev. Lett. 54 (1985) 327; Phys. Rev. B 31 (1985) 2529

    Article  ADS  Google Scholar 

  37. Halperin, B.: Phys. Rev. B25 (1982) 2185

    ADS  MathSciNet  Google Scholar 

  38. Read, N.: Phys. Rev. Lett. 65 (1990) 1502

    Article  ADS  Google Scholar 

  39. Wen, X.G., Zee, A.: Phys. Rev. B 46 (1992) 2290

    Article  ADS  Google Scholar 

  40. Cappelli, A., Trugenberger, C.A., Zemba, G.R.: Phys. Rev. Lett. 72 (1994) 1902

    Article  ADS  Google Scholar 

  41. Haldane, F.D.M.: Phys. Rev. Lett. 51 (1983) 605

    Article  ADS  MathSciNet  Google Scholar 

  42. Halperin, B.I.: Phys. Rev. Lett. 52 (1984) 1583, 2390(E)

    Article  ADS  Google Scholar 

  43. Laughlin, R.B.: Surface Science 141 (1984) 11

    Google Scholar 

  44. Wen, X.G., Zee, A.: Phys. Rev. Lett. 63 (1989) 461

    Article  ADS  MathSciNet  Google Scholar 

  45. Boebinger, G.S., et al.: Phys. Rev. Lett. 64 (1990) 1793

    Article  ADS  Google Scholar 

  46. Suen, Y.W., et al.: Phys. Rev. Lett. 68 (1992) 1379

    Article  ADS  Google Scholar 

  47. Eisenstein, J.P., et al.: Phys. Rev. Lett. 68 (1992) 1383

    Article  ADS  Google Scholar 

  48. Murphy, S.Q., Eisenstein, J.P., Boebinger, G.S., Pfeiffer, L.N., West, K.W.: Phys. Rev. Lett. 72 (1994) 728

    Article  ADS  Google Scholar 

  49. Yoshioka, D., MacDonald, A.H., Girvin, S.M.: Phys. Rev. B39 (1989) 1932

    ADS  Google Scholar 

  50. MacDonald, A.H., Yoshioka, D., Girvin, S.M.: Phys. Rev. B39 (1989) 8044

    ADS  Google Scholar 

  51. MacDonald, A.H., Platzman, P.M., Boebinger, G.S.: Phys. Rev. Lett. 65 (1990) 775

    Article  ADS  Google Scholar 

  52. Rasolt, M., MacDonald, A.H.: Phys. Rev. 34 (1986) 5530

    Article  ADS  Google Scholar 

  53. Fertig, H.A.: Phys. Rev. B 40 (1989) 1087

    Article  ADS  Google Scholar 

  54. Brey, L.: Phys. Rev. Lett. 65 (1990) 903

    Article  ADS  Google Scholar 

  55. Wen, X.G. Zee, A.: Phys. Rev. Lett. 69 (1992) 1811

    Article  ADS  Google Scholar 

  56. Wen, X.G., Zee, A.: Phys. Rev. B 47 (1993) 2265

    Article  ADS  Google Scholar 

  57. Wen, X.G., Zee, A.: A Phenomenological Study of Interlayer Tunnelling in Double-Layered Quantum Hall Systems (1994) MIT-ITP preprint

    Google Scholar 

  58. Halperin, B.I.: Phys. Helv. Acta. 56 (1983) 75

    Google Scholar 

  59. Yang, K., Moon, K., Zheng, L., MacDaonald, A.H., Zheng, L., Yoshioka, D., Zhang, S.C.: Phys. Rev. Lett. 72, 732, 1994.

    Article  ADS  Google Scholar 

  60. Wen, X.G., Zee, A.: Phys. Rev. B41 (1990) 240

    ADS  Google Scholar 

  61. Wilczek, F.: Phys. Rev. Lett. 69 (1992) 132

    Article  ADS  MathSciNet  Google Scholar 

  62. Polyakov, A.: Nucl. Phys. B120 (1977) 429

    Article  ADS  MathSciNet  Google Scholar 

  63. Moon, K., Mori, H., Yang, K., Girvin, S.M., MacDonald, A.H., Zheng, L., Yoshioka, D., Zhang, S.C.: (1994) Indiana preprint

    Google Scholar 

  64. Ichinose, I., Ohbayashi, T.: (1994) Tokyo preprint

    Google Scholar 

  65. Wen, X.G., Zee, A.: Phys. Rev. Lett. 69 (1992) 953, 3600(E)

    Article  ADS  Google Scholar 

  66. Tamm, I.: Z. Phys. 71 (1931) 141; Haldane, F.D.M.: Phys. Rev. Lett. 51 (1983) 605

    Article  MATH  ADS  Google Scholar 

  67. Lee, D.H., Wen, X.G.: Phys. Rev. B 49 (1994) 11066

    Article  ADS  Google Scholar 

  68. Affleck, I., Marston, J.B.: Phys. Rev. B 37 (1988) 3774

    Article  ADS  Google Scholar 

  69. Kotliar, G.: Phys. Rev. B 37 (1988) 3664

    Article  ADS  Google Scholar 

  70. Ioffe, L.B., Larkin, A.I.: Phys. Rev. B 39 (1989) 8988

    Article  ADS  Google Scholar 

  71. Wen, X.G., Wilczek, F., Zee, A.: Phys. Rev. B39 (1990) 11413

    ADS  Google Scholar 

  72. Ishikawa, K., Matsuyama, T.: Z. Phys. C33 (1986) 41; Nucl. Phys. B280 (1987) 523

    ADS  Google Scholar 

  73. Imai, N., Ishikawa, K., Matsuyama, T., Tanaka, I.: Phys. Rev. B 42 (1990) 10610 and references therein.

    Article  ADS  Google Scholar 

  74. Kohmoto, M.: Phys. Rev. B39 (1989) 11943; Hatsugai, Y., Kohmoto, M.: Phys. Rev. B42 (1990) 8282 and references therein.

    ADS  Google Scholar 

  75. Wen, X.G., Zee, A.: Nucl. Phys. B326 (1989) 619

    Article  ADS  MathSciNet  Google Scholar 

  76. Fetter, A., Hanna, C., Laughlin, R.: Phys. Rev. B 39 (1989) 9679

    Article  ADS  Google Scholar 

  77. Hosotani, Y., Chakravarty, S.: Phys. Rev. B 42 (1990) 342; Hettrick, J.E., Hosotani, Y., Lee, B.-H.: Ann. Phys. (N.Y.) 209 (1991) 151; Hetrick, J., Hosotani, Y.: Phys. Rev. B 45 (1992) 2981

    Article  ADS  Google Scholar 

  78. Chen, Y.H., Wilczek, F., Witten, E., Halperin, B.I.: Int. J. Mod. Phys. B3 (1989) 1001

    ADS  MathSciNet  Google Scholar 

  79. Wen, X.G., Zee, A.: Phys. Rev. B 41 (1990) 240

    Article  ADS  Google Scholar 

  80. Mori, H.: Phys. Lett. A146 (1990) 335

    ADS  Google Scholar 

  81. Trugenberger, C.A.: Phys. Lett. B288 (1992) 121; Phys. Rev. D45 (1992) 3807

    ADS  Google Scholar 

  82. Bogoliubov, N.N.: J. Phys. (USSR) 11 (1947) 23

    Google Scholar 

  83. Fradkin, E.: Field Theories of Condensed Matter Systems Addison-Wesley Publishing Co. 1991

    Google Scholar 

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Authors and Affiliations

  1. Institute for Theoretical Physics & Department of Physics, University of California, 93106-4030, Santa Barbara, California

    A. Zee

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  1. A. Zee
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Hendrik B. Geyer

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© 1995 Springer-Verlag

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Zee, A. (1995). Quantum hall fluids. In: Geyer, H.B. (eds) Field Theory, Topology and Condensed Matter Physics. Lecture Notes in Physics, vol 456. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0113369

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  • DOI: https://doi.org/10.1007/BFb0113369

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60138-8

  • Online ISBN: 978-3-540-49455-3

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