- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Reviews of Modern Physics

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

The fractional quantum Hall effect

Horst L. Stormer, Daniel C. Tsui, and Arthur C. Gossard

Horst L. Stormer

  • Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974
  • Department of Physics and Department of Appl. Physics, Columbia University, New York, New York 10027

Daniel C. Tsui

  • Department of Electrical Engineering and Department of Physics, Princeton University, Princeton, New Jersey 08544-0430

Arthur C. Gossard

  • Material Department, University of Californiiia, Santa Barbara, Santa Barbara, California 93106

PDF

Rev. Mod. Phys. 71, S298 – Published 1 March, 1999

DOI: https://doi.org/10.1103/RevModPhys.71.S298

Abstract

Two-dimensional electron systems in a high magnetic field behave very strangely. They exhibit rational fractional quantum numbers and contain exactly fractionally charged particles. Electrons seem to absorb magnetic flux quanta, altering their statistics and consuming the magnetic field. They condense into a manifold of novel ground states of boson and fermion character. These fascinating properties are not characteristic of any individual electron but rather emerge from the highly correlated motion of many.

View figure in article

References (55)

  1. Anderson, P. W., 1972, Science 177, 393.
  2. Ando, T., A. B. Fowler, and F. Stern, 1983, Rev. Mod. Phys. 54, 437.
  3. Arovas, D. P., J. R. Schrieffer, F. Wilczek, and A. Zee, 1985, Nucl. Phys. B 251, 117.
  4. Chakraborty, T., and P. Pietilainen, 1995, The Quantum Hall Effects, Springer Series in Solid State Sciences No. 85 (Springer, New York).
  5. Chang, A. M., and J. E. Cunningham, 1990, Surf. Sci. 229, 216.
  6. Clark, R. G., J. R. Mallett, S. R. Haynes, J. J. Harris, and C. T. Foxon, 1988, Phys. Rev. Lett. 60, 1747.
  7. Coleridge, P. T., Z. W. Wasilewski, P. Zawadzki, A. S. Sachrajda, and H. A. Carmona, 1995, Phys. Rev. B 52, 11 603.
  8. DasSarma, S., and A. Pinczuk, 1997, Eds., Perspectives in Quantum Hall Effects (Wiley, New York).
  9. de-Picciotto, R., M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, and D. Mahalu, 1997, Nature (London) 389, 162.
  10. Dev, G., and J. K. Jain, 1992, Phys. Rev. Lett. 69, 2843.
  11. Du, R.-R., H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, and K. W. West, 1993, Phys. Rev. Lett. 70, 2944.
  12. Du, R.-R., A. S. Yeh, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, and K. W. West, 1998 (unpublished).
  13. Eisenstein, J. P., and H. L. Stormer, 1990, Science 248, 1461.
  14. Girvin, S. M., and A. H. MacDonald, 1987, Phys. Rev. Lett. 58, 1252.
  15. Goldman, V. J., and B. Su, 1995, Science 267, 1010.
  16. Goldman, V. J., B. Su, and J. K. Jain, 1994, Phys. Rev. Lett. 72, 2065.
  17. Greiter, M., X.-G. Wen, and F. Wilczek, 1991, Phys. Rev. Lett. 66, 3205.
  18. Haldane, F. D. M., 1983, Phys. Rev. Lett. 51, 605.
  19. Halperin, B. I., 1984, Phys. Rev. Lett. 52, 1983; 52, 2390(E).
  20. Halperin, B. I., P. A. Lee, and N. Read, 1993, Phys. Rev. B 47, 7312.
  21. Jain, J. K., 1989, Phys. Rev. Lett. 63, 199.
  22. Jain, J. K., 1990, Phys. Rev. B 41, 7653.
  23. Jiang, H. W., H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, and K. W. West, 1989, Phys. Rev. B 40, 12 013.
  24. Kalmeyer, V., and S. I. Chang, 1992, Phys. Rev. B 46, 9889.
  25. Kang, W., H. L. Stormer, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, 1993, Phys. Rev. Lett. 71, 3850.
  26. Kivelson, S., D.-H. Lee, and S. C. Zhang, 1992, Phys. Rev. B 48, 2223.
  27. Kukushkin, I. V., N. J. Pulsford, K. von Klitzing, R. J. Haug, S. Koch, and V. B. Timofeev, 1992, Europhys. Lett. 18, 62.
  28. Laughlin, R. B., 1981, Phys. Rev. B 22, 5632.
  29. Laughlin, R. B., 1983, Phys. Rev. Lett. 50, 1395.
  30. Laughlin, R. B., 1984, in Two-Dimensional Systems, Heterostructures, and Superlattices, edited by G. Bauer, F. Kuchar, and H. Heinrich, Springer Series in Solid State Sciences, No. 53 (Springer, Berlin/New York).
  31. Laughlin, R. B., 1988, Phys. Rev. Lett. 60, 2677.
  32. Leadley, D. R., R. J. Nicholas, C. T. Foxon, and J. J. Harris, 1994, Phys. Rev. Lett. 72, 1906.
  33. Lee, D.-H., 1998, Phys. Rev. Lett. 80, 4745.
  34. Lopez, A., and E. Fradkin, 1991, Phys. Rev. 46, 5246.
  35. Manoharan, H. C., M. Shayegan, and S. J. Klepper, 1994, Phys. Rev. Lett. 73, 3270.
  36. Moore, G., and N. Read, 1991, Nucl. Phys. B 360, 362.
  37. Morf, R., 1998, Phys. Rev. Lett. 80, 1505.
  38. Pasquier, V., and F. D. M. Haldane, 1998, Nucl. Phys. B 515, (F), in press.
  39. Pinczuk, A., B. S. Dennis, L. N. Pfeiffer, and K. W. West, 1993, Phys. Rev. Lett. 70, 3983.
  40. Prange, R. E., and S. M. Girvin, 1990, Eds., The Quantum Hall Effect, 2nd Ed. (Springer, New York).
  41. Read, N., 1994, Semicond. Sci. Technol. 9, 1859.
  42. Rezayi, E., and F. D. M. Haldane, 1988, Phys. Rev. Lett. 60, 956.
  43. Rezayi, E., and N. Read, 1994, Phys. Rev. Lett. 71, 900.
  44. Saminadayar, L., D. C. Glattli, Y. Jin, and B. Etienne, 1997, Phys. Rev. Lett. 79, 2526.
  45. Shankar, R., and G. Murthy, 1997, Phys. Rev. Lett. 79, 4437.
  46. Simmons, J. A., H. P. Wei, L. W. Engel, D. C. Tsui, and M. Shayegan, 1989, Phys. Rev. Lett. 63, 1731.
  47. Smet, J. H., D. Weiss, R. H. Blick, G. Lutjering, K. von Klitzing, R. Fleischmann, R. Ketzmerick, T. Geisel, and G. Weimann, 1996, Phys. Rev. Lett. 77, 2272.
  48. Stormer, H. L., R. Dingle, A. C. Gossard, W. Wiegmann, and M. D. Sturge, 1979, Solid State Commun. 29, 705.
  49. Tsui, D. C., H. L. Stormer, and A. C. Gossard, 1982, Phys. Rev. Lett. 48, 1559.
  50. von Klitzing, K., G. Dorda, and M. Pepper, 1980, Phys. Rev. Lett. 45, 494.
  51. Wilczek, F., 1982, Phys. Rev. Lett. 48, 1144.
  52. Willett, R. L., J. P. Eisenstein, H. L. Stormer, D. C. Tsui, A. C. Gossard, and J. H. English, 1987, Phys. Rev. Lett. 59, 1776.
  53. Willett, R. L., M. A. Paalanen, R. R. Ruel, K. W. West, L. N. Pfeiffer, and D. J. Bishop, 1990, Phys. Rev. Lett. 54, 112.
  54. Willett, R. L., R. R. Ruel, K. W. West, and L. N. Pfeiffer, 1993, Phys. Rev. Lett. 71, 3846.
  55. Zhang, S. C., H. Hanson, and S. A. Kivelson, 1989, Phys. Rev. Lett. 62, 82.

Outline

Information

Rev. Mod. Phys. 71, S298– Published 1 March, 1999

    © 1999 American Physical Society

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation