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The Quantum Hall Effects pp 8–19Cite as

Integral Quantum Hall Effect

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 85))

Abstract

Before the discovery of the IQHE by von Klitzing et al. [2.1] there were experimental indications of the existence of such an effect. The possibility of ρ xy quantization had also been considered theoretically by Ando et al. [2.2]. Plateau-like behavior had actually been observed in ρ xy [2.3] and in σ xy [2.4]. However, accurate quantization of the Hall plateau was not achieved in those experiments.

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References

  1. K. von Klitzing, G. Dorda, M. Pepper: Phys. Rev. Lett. 45, 494 (1980)

    Article  Google Scholar 

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

    Article  Google Scholar 

  3. T. Englert, K. von Klitzing: Surf. Sci. 73 70 (1978)

    Article  CAS  Google Scholar 

  4. J. Wakabayashi, S. Kawaji: Surf. Sci. 98 299 (1980)

    Article  CAS  Google Scholar 

  5. K. von Klitzing: Surf. Sci. 113, 1 (1982)

    Article  Google Scholar 

  6. K. von Klitzing: Rev. Mod. Phys. 58, 519 (1986)

    Article  Google Scholar 

  7. H. L. Störmer: In Advances in Solid State Physics, ed. by P. Grosse, (Vieweg, Braunschweig 1984), vol. 24, p. 25

    Chapter  Google Scholar 

  8. A. Hartland: Metrologia 29, 175 (1992)

    Article  Google Scholar 

  9. T. Quinn: Metrolgia 26, 69 (1989)

    Article  Google Scholar 

  10. B. N. Taylor: Physics Today, 42, 23 (1989)

    Article  CAS  Google Scholar 

  11. D. C. Tsui, A. C. Gossard: Appl. Phys. Lett. 38, 550 (1981)

    Article  CAS  Google Scholar 

  12. M. A. Paalanen, D. C. Tsui, A. C. Gossard: Phys. Rev. B25, 5566 (1982)

    Google Scholar 

  13. G. Ebert, K. von Klitzing, C. Probst, K. Ploog: Solid State Commun. 44, 95 (1982)

    Article  CAS  Google Scholar 

  14. R. J. Nicholas, K. von Klitzing, Th. Englert: Solid State Commun 34, 51 (1980)

    Article  CAS  Google Scholar 

  15. Y. Guldner, J. P. Hirtz, J. P. Vieren, P. Voisin, M. Voos, M. Razeghi: J. Physique Lett. 43, L613 (1982)

    Article  Google Scholar 

  16. Y. Guldner, J. P. Vieren, M. Voos, F. Delahaye, D. Dominguez, J. P. Hirtz, M. Razeghi: Phys. Rev. B33, 3990 (1986)

    Google Scholar 

  17. W. P. Kirk, P. S. Kobiela, R. A. Schiebel, M. A. Reed: J. Vac. Sci. Tech. A4, 2132 (1986)

    Google Scholar 

  18. E. E. Mendez, L. Esaki, L. L. Chang: Phys. Rev. Lett. 55, 2216 (1985)

    Article  CAS  Google Scholar 

  19. H. L. Störmer, Z. Schlesinger, A. M. Chang, D. C. Tsui, A. C. Gossard, W. Wiegmann: Phys. Rev. Lett. 51, 126 (1983)

    Article  Google Scholar 

  20. F. F. Fang: Surf. Sci. 305, 301 (1994)

    Article  CAS  Google Scholar 

  21. G. M. Gusev, Z. D. Kvon, I. G. Neizvestnyi, V. N. Ovsyuk, P. A. Cheremnykh: JETP Lett. 39, 541 (1984)

    Google Scholar 

  22. R. Kubo: J. Phys. Soc. Jpn. 12, 570 (1957)

    Article  Google Scholar 

  23. H. L. Störmer, D. C. Tsui: Science 220, 1241 (1983)

    Article  Google Scholar 

  24. E. Brown: Solid State Phys. 22, 313 (1968)

    Article  CAS  Google Scholar 

  25. R. Kubo, S. J. Miyake, N. Hashitsume: Solid State Phys. 17, 269 (1965)

    Article  CAS  Google Scholar 

  26. Y. Ono: J. Phys. Soc. Jpn. 51, 237 (1982)

    Article  Google Scholar 

  27. G. A. Baraff, D. C. Tsui: Phys. Rev. B24, 2274 (1981)

    Google Scholar 

  28. V. M. Pudalov, S. G. Semenchinsky, V. S. Edelman: JETP Lett. 39, 576 (1984)

    Google Scholar 

  29. H. Aoki, T. Ando: Solid State Commun. 38, 1079 (1981)

    Article  CAS  Google Scholar 

  30. T. Ando: Anderson Localization, eds. Y. Nagaoka, H. Fukuyama (Springer-Verlag, 1982), p. 176

    Google Scholar 

  31. T. Ando: In Recent Topics in Semiconductor Physics,eds. H. Kami- mura, Y. Toyozawa (World Scientific, Singapore, 1983), p. 72

    Google Scholar 

  32. H. Aoki: Rep. Prog. Phys. 50, 655 (1987)

    Article  Google Scholar 

  33. N. A. Usov, F. R. Ulinich: Sov. Phys.-JETP 56, 877 (1982)

    Google Scholar 

  34. E. Abrahams, P. W. Anderson, D. C. Licciardello, T. V. Ramakrishnan: Phys. Rev. Lett. 42, 673 (1979)

    Article  Google Scholar 

  35. R. E. Prange: Phys. Rev. B23, 4802 (1981)

    Google Scholar 

  36. D. J. Thouless: J. Phys. C14, 3475 (1981)

    Google Scholar 

  37. P. Streda: J. Phys. C15, L717 (1982)

    Google Scholar 

  38. R. B. Laughlin. Phys. Rev. B23, 5632 (1981)

    Google Scholar 

  39. N. Byers, C. N. Yang: Phys. Rev. Lett. 7, 46 (1961)

    Article  Google Scholar 

  40. F. Bloch: Phys. Rev. B2, 109 (1970)

    Google Scholar 

  41. R. B. Laughlin: Springer Series in Solid State Sciences, 53, eds. G. Bauer, F. Kuchar, H. Heinrich (Springer-Verlag, 1984), p. 272

    Google Scholar 

  42. G. F. Giuliani, J. J. Quinn, S. C. Ying: Phys. Rev. B28, 2969 (1983)

    Google Scholar 

  43. G. C. Aers, A. H. MacDonald: J. Phys. C17, 5491 (1984)

    Google Scholar 

  44. H. Aoki: J. Phys. C15, L1227 (1982)

    Google Scholar 

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

    Google Scholar 

  46. Q. Niu, D. J. Thouless, Y. S. Wu: Phys. Rev. B31, 3372 (1985)

    Google Scholar 

  47. Y. Avron, R. Seiler: Phys. Rev. Lett. 54, 259 (1985)

    Article  Google Scholar 

  48. H. Aoki, T. Ando: Phys. Rev. Lett. 57, 3093 (1986)

    Article  Google Scholar 

  49. D. J. Thouless, M. Kohmoto, M. P. Nightingale, M. den Nijs: Phys. Rev. Lett. 49, 405 (1982)

    Article  CAS  Google Scholar 

  50. G. Morandi: Quantum Hall Effect (Bibliopolis, Napoli, 1988)

    Google Scholar 

  51. R. Tao, F. D M. Haldane: Phys. Rev. B33, 3844 (1986)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Mathematical Sciences, 600 113, Taramani, Madras, India

    Professor Tapash Chakraborty

  2. Dept. of Theoretical Physics, University of Oulu, FIN 90570, Linnanmaa, Oulu, Finland

    Dr. Pekka Pietiläinen

Authors
  1. Professor Tapash Chakraborty
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  2. Dr. Pekka Pietiläinen
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© 1995 Springer-Verlag Berlin Heidelberg

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Chakraborty, T., Pietiläinen, P. (1995). Integral Quantum Hall Effect. In: The Quantum Hall Effects. Springer Series in Solid-State Sciences, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79319-6_2

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  • DOI: https://doi.org/10.1007/978-3-642-79319-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58515-2

  • Online ISBN: 978-3-642-79319-6

  • eBook Packages: Springer Book Archive

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