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The finite-structure constant α A contribution of semiconductor physics to the determination of α

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Festkörperprobleme 21

Part of the book series: Advances in Solid State Physics ((ASSP,volume 21))

Abstract

The knowledge of an accurate value for the fine-structure constant α is necessary in order to check the quantum electrodynamic theory and to reduce the uncertainty of other fundamental constants. The various established methods for the determination of α are briefly reviewed and an introduction is given to a new solid state quantum effect (the quantized Hall resistance of a two-dimensional electron gas), which allows α to be calculated directly. After a summary of the properties of a two-dimensional electron gas in a strong magnetic field, measurements of the quantized Hall resistance are presented. Correction terms due to carrier localization, scattering processes, or the finite geometry of the sample, are analyzed.

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References

  1. For a review see: B. N. Taylor and E. R. Cohen, in Atomic Masses and Fundamental Constants 5, J. H. Sanders and A. H. Wapstra (ed.), Plenum Press, New York) 1976, p. 663.

    Google Scholar 

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

    Article  ADS  Google Scholar 

  3. A. Sommerfeld, Annalen der Physik (Leipzig) 51, 1 (1916).

    Article  ADS  Google Scholar 

  4. E. R. Cohen and B. N. Taylor, J. Phys. Chem. Ref. Data 2, 663 (1973).

    Article  ADS  Google Scholar 

  5. B. L. Cosens and T. V. Vorburger, Phys. Rev. A2, 16 (1970).

    Article  ADS  Google Scholar 

  6. T. W. Shyn, T. Rebane, R. T. Robiscoe, and W. L. Williams, Phys. Rev. A3, 116 (1971).

    Article  ADS  Google Scholar 

  7. A. Kponou, V. W. Hughes, C. E. Johnson, S. A. Lewis, and F. M. J. Pichanick, Phys. Rev. Lett. 26, 1613 (1971).

    Article  ADS  Google Scholar 

  8. L. Essen, R. W. Donaldson, M. J. Bangham, and E. G. Hope, Nature 229, 1106 (1971).

    Article  Google Scholar 

  9. S. L. Kaufmann, W. E. Lamb, K. R. Lea, and M. Leventhal, Phys. Rev. A4, 2128 (1971).

    Article  ADS  Google Scholar 

  10. S. Granger and G. W. Ford, Phys. Rev. Lett. 28, 1479 (1972).

    Article  ADS  Google Scholar 

  11. P. A. Thompson, P. Crane, T. Crane, J. J. Amato, V. W. Hughes, G. zu Putlitz, and J. E. Rothberg, Phys. Rev. A8, 86 (1973).

    Article  ADS  Google Scholar 

  12. D. Favart, P. M. Mc Intyre, D. Y. Stowell, V. L. Telegdi, and R. De Voe, Phys. Rev. Lett. 27, 1336 (1971).

    Article  ADS  Google Scholar 

  13. J. C. Baird, J. Brandenberger, K. I. Gondaira, and H. Metcalf, Phys. Rev. A 5, 564 (1972).

    Article  ADS  Google Scholar 

  14. B. N. Taylor, W. H. Parker, and D. N. Langenberg, Rev. Mod. Phys. 41, 375 (1969).

    Article  ADS  Google Scholar 

  15. P. Cvitanovic and T. Kinoshita, Phys. Rev. D10, 4007 (1974).

    Article  ADS  Google Scholar 

  16. E. R. Cohen, in Atomic Masses and Fundamental Constants 6, J. A. Nolen and W. Benenson (ed.), Plenum Press (New York) 1980, p. 525.

    Google Scholar 

  17. R. S. van Dyck, P. B. Schwinberg, and H. G. Dehmelt, Bull. Am. Phys. Soc. 24 (5), 758 (1979), Abstract D5.

    Google Scholar 

  18. T. Kinoshita, in New Frontiers in High Energy Physics Studies in Natural Sciences, Sanibal Island 1978, A. Perlmutter and L. F. Scott (ed.), Plenum Press, New York 1978, Vol. 14, p. 127.

    Google Scholar 

  19. G. K. Yagola, V. I. Zingerman, and V. N. Sepetyi, Izmeritel. Tekhn. 7, 44 (1966), English Transl.: Meas. Tech. 1967, 914 (1967); izmeritel. Tekhn. 5, 24 (1962), English transl.: Meas. Tech. 1962, 387 (1962).

    Google Scholar 

  20. K. Hara, H. Nakamura, T. Sakai and N. Koizumi, report to Comité Consultatif d'Electricité, Comité International des Poids et Mesures, 12th Session, October 1968.

    Google Scholar 

  21. P. Vigoureux, Proc. Roy. Soc. A (London) 270, 72 (1962).

    Article  ADS  Google Scholar 

  22. T. N. Malyarevskaya, N. V. Studentsov, and V. Ya. Shifrin, in Studies in the Field of Magnetic Measurements, Mendeleev All Union Scientific Research Institute of Metrology, Publications of the Institutes of Metrology, U.S.S.R., No. 120 (180), 1971 (Standards Publications, Moscow-Leningrad 1971), p. 14 [Trudy Metrologicheskikh Institutov, SSSR, No. 120 (180), 1971].

    Google Scholar 

  23. N. V. Studentsov, T. N. Mayarevskaya, and V. Ya. Shifrin, Izmeritel. Tekhn. 11, 29 (1968), English transl.: Meas. Tech. 1968, 1483 (1968).

    Google Scholar 

  24. D. N. Craig, J. I. Hoffman, C. A. Law, and W. J. Hamer, J. Res. Nat. Bur. Stand. (U.S.), 64A (Phys. and Chem.), No. 5, 381–402 (Sept.-Oct. 1960).

    Google Scholar 

  25. G. Marinenko and J. K. Taylor, Analyst. Chem. 40, 1645 (1968).

    Article  Google Scholar 

  26. P. T. Olsen and R. L. Driscoll, in Atomic Masses and Fundamental Constants 4, Ed. by J. H. Sanders and A. H. Wapstra (Plenum Publishing Corp., New York 1972), p. 471.

    Google Scholar 

  27. B. F. Kibble and G. J. Hunt, Metrologia 15, 5 (1978).

    Article  ADS  Google Scholar 

  28. E. R. Williams and P. T. Olsen, Phys. Rev. Lett. 42, 1575 (1979).

    Article  ADS  Google Scholar 

  29. E. Braun, E. Staben, and K. von Klitzing, PTB Mitteilungen 90, 350 (1980).

    Google Scholar 

  30. D. C. Licciardello and D. J. Thouless, Phys. Rev. Lett. 35, 1474 (1975).

    Article  ADS  Google Scholar 

  31. M. Pepper, Proc. Roy. Soc. A353, 225 (1977).

    Article  ADS  Google Scholar 

  32. T. Ando, Y. Matsomuto, Y. Uemura, M. Kobayashi, and K. F. Komatsubara, J. Phys. Soc. Japan 32, 859 (1972).

    Article  ADS  Google Scholar 

  33. A. M. Thompson and D. G. Lampard, Nature (London) 177, 888 (1956).

    Article  ADS  Google Scholar 

  34. R. E. Prange, Phys. Rev. Letters (to be published).

    Google Scholar 

  35. H. Aoki and T. Ando, Solid State Commun. (to be published).

    Google Scholar 

  36. F. Stern, in Critical Reviews in Solid State Sciences 5, 499 (1974); G. Landwehr, in Festkörperprobleme XV, H. J. Queisser (ed.), Pergamon Vieweg 1975, p. 49.

    Google Scholar 

  37. C. C. Grimes, Surface Sci. 73, 379 (1978).

    Article  ADS  Google Scholar 

  38. R. Dingle, in Advances in Solid State Physics 15, 21 (1975), J. J. Queisser (ed.), Vieweg 1975.

    Google Scholar 

  39. L. Esaki and L. L. Chang, Thin Solid Films 36, 285 (1976).

    Article  ADS  Google Scholar 

  40. A. B. Fowler, F. F. Fang, W. E. Howard, and P. J. Stiles, J. Phys. Soc. Japan 21, 331 (1966).

    Google Scholar 

  41. Th. Englert and K. von Klitzing, Surf. Science 73, 70 (1978).

    Article  ADS  Google Scholar 

  42. S. M. Sze, Physics of Semiconductor Devices, Wiley and Sons 1969 (New York).

    Google Scholar 

  43. K. Ohta, Jap. Journal of Applied Physics 10, 850 (1971).

    Article  ADS  Google Scholar 

  44. C. C. Hu, J. Pearse, K. M. Cham, and R. G. Wheeler, Proc. Second Int. Conf. on the Electronic Properties of Two-Dimensional Systems, Berchtesgaden 1977 (unpublished), see also Surc. Science 73, 207 (1978).

    Google Scholar 

  45. D. C. Tsui and G. Kaminsky, Phys. Rev. Lett. 35, 1468 (1975).

    Article  ADS  Google Scholar 

  46. W. E. Howard and F. F. Fang, Phys. Rev. B13, 2519 (1976).

    Article  ADS  Google Scholar 

  47. R. Dingle, H. L. Störmer, A. C. Gossard, and W. Wiegmann, Surf. Science 98, 90 (1980).

    Article  ADS  Google Scholar 

  48. T. Ando and Y. Uemura, J. Phys. Soc. Japan 36, 959 (1974).

    Article  ADS  Google Scholar 

  49. R. Kubo, S. J. Miyake, and N. Hashitsume, in Solid State Physics 17, 269 (1965), F. Seitz and D. Turnbull (ed.), Academic Press (New York) 1965).

    Google Scholar 

  50. T. Ando, J. Phys. Soc. Japan 37, 622 (1974).

    Article  ADS  Google Scholar 

  51. R. J. Nicholas, R. A. Stradling, and R. J. Tidey, Solid State Commun. 23, 241 (1977).

    Article  Google Scholar 

  52. S. Kawaji and J. Wakabayashi, Surface Sci. 58, 238 (1976).

    Article  ADS  Google Scholar 

  53. M. Pepper, Phil. Mag. B37, 83 (1978).

    Article  Google Scholar 

  54. H. Aoki and H. Kamimura, Solid State Commun. 21, 45 (1977).

    Article  ADS  Google Scholar 

  55. H. Aoki, J. Phys. C11, 3823 (1978).

    Article  ADS  Google Scholar 

  56. H. Fukuyama, Solid State Commun. 19, 551 (1976).

    Article  ADS  Google Scholar 

  57. M. Tsukada, J. Phys. Soc. Japan 42, 391 (1977).

    Article  ADS  Google Scholar 

  58. R. J. Nicholas, E. Kress-Rogers, F. Kuchar, M. Pepper, J. C. Portal, and R. A. Stradling, Surface Science 98, 283 (1980).

    Article  ADS  Google Scholar 

  59. D. C. Tsui, Solid State Commun. 21, 675 (1977).

    Article  ADS  Google Scholar 

  60. J. Wakabayashi and S. Kawaji, Surface Science 98, 299 (1980).

    Article  ADS  Google Scholar 

  61. G. Ebert, Diplomarbeit Würzburg 1978 (unpublished).

    Google Scholar 

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

    Article  ADS  Google Scholar 

  63. S. Kawaji, T. Igarashi, and J. Wakabayashi, Progr. of Theor. Physics. Suppl. 57, 176 (1975).

    Article  ADS  Google Scholar 

  64. Th. Englert, K. von Klitzing, R. J. Nicholas, G. Landwehr, G. Dorda, and M. Pepper, Phys. stat. sol. (b) 99, 237 (1980).

    Article  ADS  Google Scholar 

  65. H. Köhler and M. Roos, Phys. stat. sol (b) 91, 233 (1979).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  67. M. Kaplit and J. N. Zemel, Phys. Rev. Lett. 21, 212 (1968).

    Article  ADS  Google Scholar 

  68. A. M. Voshchenkov and J. N. Zemel, Phys. Rev. B9, 4410 (1974).

    Article  ADS  Google Scholar 

  69. K. Ohta, Japanese, J. of Applied Physics 10, 850 (1971).

    Article  ADS  Google Scholar 

  70. I. Eisele and G. Dorda, Solid State Commun. 15, 1391 (1974).

    Article  ADS  Google Scholar 

  71. H. Obloh (unpublished).

    Google Scholar 

  72. H. J. Lippmann and F. Kuhrt, Z. Naturschg. 13a, 462 (1958); Z. Naturforschg. 13a, 474 (1958).

    ADS  Google Scholar 

  73. D. C. Tsui and A. C. Gossard (to be published).

    Google Scholar 

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J. Treusch

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© 1981 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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von Klitzing, K. (1981). The finite-structure constant α A contribution of semiconductor physics to the determination of α. In: Treusch, J. (eds) Festkörperprobleme 21. Advances in Solid State Physics, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108600

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  • DOI: https://doi.org/10.1007/BFb0108600

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