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Fractional Quantum Hall Effect

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Electron Liquids

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 96))

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Abstract

The fractional quantum Hall effect occurs when, in a strong magnetic field, electrons fall into highly correlated liquid states.

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References

  1. D. C. Tsui, H. L. Störmer, A. C. Gossard: Phys. Rev. Lett. 48, 1559 (1982)

    Article  ADS  Google Scholar 

  2. I. V. Kukushkin, V. B. Timofeev: In High Magnetic Fields in Semiconductor Physics, ed. by G. Landwehr, Springer Ser. Solid-State Sci., Vol. 71 (Springer, Berlin, Heidelberg 1987) p. 136

    Chapter  Google Scholar 

  3. G. S. Boebinger, A. M. Chang, H. L. Störmer, D. C. Tsui: Phys. Rev. Lett. 55, 1606 (1985)

    Article  ADS  Google Scholar 

  4. See also: J. Wakabayashi, S. Kawaji, J. Yoshino, H. Sakaki: J. Phys. Soc. Jpn. 55, 1319 (1986)

    Article  ADS  Google Scholar 

  5. L. Engel, H. P. Wei, D. C. Tsui, Reported in the int’l Conf. on Electrical Properties in Two-Dimensional Systems, Grenoble, 1989

    Google Scholar 

  6. R. J. Haug, K. von Klitzing, R. J. Nicholas, J. C. Maan, G. Weimann: Phys. Rev. B 36, 4528 (1987-I)

    Article  ADS  Google Scholar 

  7. J. E. Furneaux, D. A. Syphers, A. G. Swanson: Phys. Rev. Lett. 63, 1098 (1989)

    Article  ADS  Google Scholar 

  8. J. P. Eisenstein, H. L. Störmer, L. Pfeiffer, K. W. West: Phys. Rev. Lett. 62, 1540 (1989)

    Article  ADS  Google Scholar 

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

    Google Scholar 

  10. R. J. Willett, J. P. Eisenstein, H. L. Störmer, D. C. Tsui, A. C. Gossard, J. H. English: Phys. Rev. Lett., 59, 1776 (1987)

    Article  ADS  Google Scholar 

  11. R. G. Clark, J. R. Mallett, S. R. Haynes, P. A. Maksym, J. Harris, C. T. Foxon: Surf. Sci. 170, 141 (1986)

    Article  ADS  Google Scholar 

  12. G. Timp, R. Behringer, J. E. Cunningham, R. E. Howard: Phys. Rev. Lett. 63, 2268 (1989)

    Article  ADS  Google Scholar 

  13. R. B. Laughlin: Phys. Rev. Lett., 50, 1395 (1983)

    Article  ADS  Google Scholar 

  14. J. M. Caillol, D. Levesque, J. J. Weis, J. P. Hansen: J. Stat. Phys. 28, 325 (1982)

    Article  ADS  Google Scholar 

  15. R. Morf: Phys. Rev. Lett. 43, 931 (1979)

    Article  ADS  Google Scholar 

  16. K. Takano, A. Isihara: Phys. Rev. B 34, 1399 (1986)

    Article  ADS  Google Scholar 

  17. D. Yoshioka, B. I. Halperin, P. A. Lee: Phys. Rev. Lett. 50, 1219 (1983)

    Article  ADS  Google Scholar 

  18. D. Levesque, J. J. Weis, A. H. MacDonald: Phys. Rev. B 30, 1056 (1984)

    Article  ADS  Google Scholar 

  19. K. Takano, A. Isihara: J. Phys. C 20, L281 (1987); In Anderson Localization, ed. by T. Ando, H. Fukuyama, Springer Proc. Phys., Vol. 28 (Springer, Berlin, Heidelberg (1988) p. 1988

    Article  ADS  Google Scholar 

  20. F. D. M. Haldane, E. H. Rezayi: Phys. Rev. Lett. 54, 237 (1985)

    Article  ADS  Google Scholar 

  21. R. Morf, B. I. Halperin: Phys. Rev. B 33, 2221 (1986)

    Article  ADS  Google Scholar 

  22. W. P. Su: Phys. Rev. B 30, 1069 (1984)

    Article  ADS  Google Scholar 

  23. Q. Niu, D. J. Thouless, Y. Wu: Phys. Rev. B 31, 3372 (1985); See also [13.12]

    Article  MathSciNet  ADS  Google Scholar 

  24. R. B. Laughlin: Surf. Sci. 142, 163 (1984)

    Article  ADS  Google Scholar 

  25. S. M. Girvin, A. H. MacDonald, P. M. Platzman: Phys. Rev. Lett. 54, 581 (1985)

    Article  ADS  Google Scholar 

  26. V. B. Bargmann: Rev. Mod. Phys. 34, 829 (1962)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. H. MacDonald, S. M. Girvin: Phys. Rev. B 33, 4009 (1986)

    Article  ADS  Google Scholar 

  28. A. Pinczuk, J. P. Valladares, D. Heiman, A. C. Gossard, J. H. English, C. W. Tu, L. Pfeiffer, K. West: Phys. Rev. Lett. 61, 2701 (1988)

    Article  ADS  Google Scholar 

  29. S. M. Girvin, A. H. MacDonald: Phys. Rev. Lett. 12, 1252 (1987)

    Article  ADS  Google Scholar 

  30. D. Yoshioka: J. Phys. Soc. Jpn. 55, 885 (1986)

    Article  ADS  Google Scholar 

  31. A. Gold: Phys. Rev. B 40, 3375 (1989-I)

    Article  ADS  Google Scholar 

  32. J. A. Simmons, H. P. Wei, L. W. Engel, D. C. Tsui, M. Shayegan: Phys. Rev. 63, 1731 (1989)

    ADS  Google Scholar 

  33. R. G. Clark, J. R. Mallett, S. R. Haynes, J. J. Harris, C. T. Foxon: Phys.Rev. Lett. 60, 1747 (1988)

    Article  ADS  Google Scholar 

  34. J. V. Branch, R. G. Clark, C. Andrikidis, S. J. Collocott, G. J. Griffiths, J. J. Harris, C. T. Foxon, J. T. Chalker: Phys. Rev. Lett., to be published.

    Google Scholar 

  35. A Sachrajda, R. Boulet, Z. Wasilewski, P. Coleridge: to be published.

    Google Scholar 

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© 1993 Springer-Verlag Berlin Heidelberg

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Isihara, A. (1993). Fractional Quantum Hall Effect. In: Electron Liquids. Springer Series in Solid-State Sciences, vol 96. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97303-1_13

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  • DOI: https://doi.org/10.1007/978-3-642-97303-1_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-97305-5

  • Online ISBN: 978-3-642-97303-1

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