Abstract
The roots of the quantum Hall effect can be traced back about 30 years, when the idea of a two-dimensional electron gas was first introduced. Progress in the generation of high magnetic fields together with advances in semiconductor technology eventually made the discovery possible which was not predicted by theory. It is shown how the systematic investigation of the transport properties of silicon field-effect transistors at low temperatures in high magnetic fields culminated in the discovery of the quantum Hall effect.
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G. Landwehr and P. Drath, Z. Angew. Physik 20, 392 (1966)
E. Braun and G. Landwehr, Z. Naturforschg. 21a, 495 (1966)
G. Landwehr, Proc. Int. Conf. on the Physics of Semiconductors, Exeter 1962, Inst. of Physics and Phys. Soc., London 1962, p. 609
J. R. Schrieffer, in: Semiconductor Surface Physics, ed. by R. H. Kingston (Univ. of Pennsylvania Press, Philadelphia 1957), p. 55.
G. Landwehr, E. Bangert, and S. Uchida, Solid State Electronics 28, 171 (1985)
G. Landwehr and P. Handler, J. Phys. Chem. Solids 23, 891 (1962)
See, e.g. Anderson Localization, Y. Nagaoka and H. Fukuyama Eds., Springer Series Solid State Sciences 39 (1982)
G. Landwehr and S. Uchida, in: Localization and Metal-Insulator Transitions, ed. by H. Fritzsche and D. Adler (Plenum Press 1985), p. 379
K. von Klitzing and G. Landwehr, phys. stat. sol. (b) 45, K112 (1971)
K. von Klitzing, Solid State Electronics 21, 223 (1978)
K. von Klitzing and G. Landwehr, Solid State Comm. 9, 2201 (1971)
G. Dorda, J. Appl. Phys. 42, 2053 (1971); also in: Festkörperprobleme: Advances in Solid State Physics, ed. by., H. J. Queisser (Vieweg, Braunschweig 1973), Vol. XIII, p. 215
A. B. Fowler, F. F. Fang, W. E. Howard, and P. J. Stiles, Phys. Rev. Lett. 16, 901 (1966); Proc. Int. Conf. on the Physics of Semiconductors, Kyoto 1966, J. Phys. Soc. Jap. 21, Suppl. (1966), p. 331
Th. Englert, in: Application of High Magnetic Fields in Semiconductor Physics, Grenoble 1982, ed. by G. Landwehr, Lecture Notes in Physics 177 (Springer, Berlin, Heidelberg, New York 1983), p. 87
S. Kawaji, T. Igarashi, and J. Wakabayashi, Progr. of Theoret. Physics, Suppl. 57, 176 (1975)
T. Ando, Y. Matsumuto, and Y. Uemura, J. Phys. Soc. Jap. 39, 279 (1975)
K. von Klitzing, G. Landwehr, and G. Dorda, Solid State Comm. 14, 387 (1974); 15, 489 (1974)
E. Bangert, K. von Klitzing, and G. Landwehr, Proc. 12th Int. Conf. on the Physics of Semiconductors, Stuttgart 1974, ed. by M. H. Pilkuhn (Teubner, Stuttgart 1974), p. 714
J. Ohkawa and Y. Uemura, Progr. of Theoret. Physics, Suppl. 57, 164 (1975)
G. Landwehr, E. Bangert, K. von Klitzing and Th. Englert, Solid State Comm. 19, 1031 (1976)
T. Neugebauer, K. von Klitzing, and G. Landwehr, Solid State Comm. 17, 295 (1975).
R. Kümmel, Z. Phys. B22, 223 (1975).
K. F. Komatsubara, K. Narita, Y. Katayama, and N. Kotera, J. Phys. Chem. Sol. 35, 723 (1974)
T. Ando and Y. Uemura, J. Phys. Soc. Jap. 36, 959 (1974)
T. Ando, in: The Application of High Magnetic Fields in Semiconductor Physics, Lecture Notes, Physik. Inst. Univ. Würzburg 1976, p. 33
Y. Uemura, ibid. The Application of High magnetic Fields in Semiconductor Physics, Lecture Notes, Physik. Inst. Univ. Würzburg 1976, p. 81.
S. Kawaji and J. Wakabayashi, surface Science 58, 238 (1976).
Th. Englert and K. von Klitzing, Surface Science 73, 70 (1978)
T. Ando and Y. Uemura, J. Phys. Soc. Jap. 37, 1044 (1974)
J. Wakabayashi and S. Kawaji, Surface Science 98, 299 (1980)
G. Ebert, Diplomarbeit, Physik. Inst. Univ. Würzburg 1979 (unpublished)
R. J. Nicholas, K. von Klitzing, and Th. Englert, Solid State Comm. 34, 51 (1980)
Th. Englert, K. von Klitzing, R. J. Nicholas, G. Landwehr, G. Dorda, and M. Pepper, phys. stat. sol. (b) 99, 237 (1980)
K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Letters 45, 494 (1980)
E. Braun, E. Staben, and K. von Klitzing, PTB Mitteilungen 90, 350 (1980)
L. Bliek, E. Braun, H. J. Engelmann, H. Leontief, F. Melchert, W. Schlapp, B. Stahl, P. Warneke, and G. Weimann, PTB Mitteilungen 93, 21 (1983).
H. L. Störmer, R. Dingle, A. C. Gossard, W. Wiegmann, and R. A. Logan, in: Physics of Semiconductors, B. L. H. Wilson Ed., Inst. of Physics Conf. Series No. 43 (1978), p. 557
D. C. Tsui and A. C. Gossard, Appl. Phys. Letters 37, 550 (1981)
Th. Englert, D. C. Tsui, A. C. Gossard, and C. Uihlein, Surface Science 113, 295 (1982)
D. Thouless, Surface Science 142, 147 (1984)
See, e.g.: Two-Dimensional Systems, Heterostructures and Superlattices, ed. by G. Bauer, F. Kuchar, H. Heinrich, Springer Series in Solid State Sciences 53 (Springer, Berlin, Heidelberg, New York 1984); D. C. Tsui, Proc. 17th Int. Conf. on the Physics of Semiconductors, San Francisco 1984, ed. by J. D. Chadi and W. A. Harrison (Springer, Berlin, Heidelberg, New York 1985), p. 247; R. B. Laughlin, ibid. Proc. 17th Int. Conf. on the Physics of Semiconductors, San Francisco 1984, ed. by J. D. Chadi and W. A. Harrison (Springer, Berlin, Heidelberg, New York 1985), p. 255; B. I. Halperin, Helv. Phys. Acta 56, 75 (1983); J. Hajdu and G. Landwehr, in: Strong and Ultrastrong Magnetic Fields, ed. by F. Herlach (Springer, Berlin, Heidelberg, New York 1985), p. 17; J. Hajdu, in: Festkörperprobleme: Advances in Solid State Physics, ed. by P. Grosse (Vieweg, Braunschweig 1985), Vol. XXV, p. 395
D. C. Tsui, H. L. Störmer, and A. C. Gossard, Phys. Rev. Lett. 48, 1562 (1982)
R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983)
H. L. Störmer, in: Festkörperprobleme: Advances in Solid State Physics, ed. by P. Grosse (Vieweg, Braunschweig 1984), Vol. XXIV, p. 25
T. Ando, A. B. Fowler, and F. Stern, Rev. of Modern Physics 54, 437 (1982)
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© 1986 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH
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Landwehr, G. (1986). The discovery of the quantum hall effect. In: Grosse, P. (eds) Festkörperprobleme 26. Advances in Solid State Physics, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107789
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DOI: https://doi.org/10.1007/BFb0107789
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