Abstract
A description is given of the occurrence of fractional quantum effects, and how these are influenced by the presence of disorder. It is shown that, when electrons are photoexcited into a GaAs-GaAIAs heterojunction, the fractional state existing at a Landau level occupancy of 7/5 can dominate over that at 4/3. Activation energy measurements of the resistivity show how the energy gap of the fractional states is reduced by the presence of disorder. A new method of analysis of the resistivity minima is presented which is used to give information on the correlation length of the many-body ground state.
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References
D.C. Tsui, H.L. Stormer and A.C. Gossard, Phys. Rev. Lett. 48, 1559 (1982)
A.M. Chang, P. Berglund, D C. Tsui, H.L. Stormer and J.C.M. Hwang, Phys. Rev. Lett. 53, 997 (1984)
E.E. Mendez, L.L.Chang, M. Heiblum, L. Esaki, M. Naughton, K. Martin and J. Brooks, Phys. Rev. B30, 7310 (1984)
G. Ebert, K. von Klitzing, J.C. Maan, G. Remenyi, C. Probst, G. Weimann and W. Schlapp, J. Phys. C17, L775 (1984)
G.S. Boebinger, A.M. Chang, H.L. Stormer and D.C. Tsui, Phys. Rev. Lett. 55, 1606 (1985)
G.S. Boebinger, A.M. Chang, H. L. Stormer and D.C. Tsui, Phys. Rev. B32, 4268 (1985)
J. Wakabayashi, S. Kawajii, J. Yoshino and H. Sakaki, Surf. Sci. 170, in press (1986)
R.G. Clark, R. J. Nicholas, A. Usher, C.T. Foxon and J.J. Harris Surf. Sci. 170, 141 (1986)
R.J. Nicholas, R.G. Clark, A. Usher, C.T. Foxon and J.J. Harris, Solid State Commun. in press (1986)
R.B. Laughlin, Phys. Rev. B23,5632 (1981)
R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983)
R.B. Laughlin, Surf. Sci. 142 163 (1984)
R.B. Laughlin, in Solid State Sciences (Springer Verlag) 53 p.279 (1984)
F.D.M. Haldane, Phys. Rev. Lett. 51, 605 (1983)
B.I. Halperin, Phys. Rev. Lett. 52 1583 (1984)
A.H. MacDonald and S.M. Girvin, Phys. Rev. B33, 4414 (1986)
S.M. Girvin, Phys. Rev. B30, 558 (1984)
A.H. MacDonald, G.C. Aers and M.W.C. Dharma-wardana, Phys. Rev. B31, 5529 (1985)
R. Morf and B.I. Halperin, Phys. Rev. B33 2221 (1986)
S.M. Girvin, A.H. MacDonald, and P.M. Platzman, Phys. Rev. B33, 2481 (1986)
F.D.M. Haldane and E.H. Rezayi, Phys. Rev. Lett. 54, 237 (1985)
R. Tao and D.J. Thouless, Phys. Rev. B28, 1142 (1353)
R. Tao, Phys. Rev. B29, 635 (1984)
S. Kivelson, C. Kallin, D.P. Arovas and J.R. Schrieffer, Phys. Rev. Lett. 56, 873 (1986)
R. Keiper and O. Zeip, Phys. Stat. Solidi 133b, 769 (1986)
C.T. Foxon, J.J. Harris, R.G. Wheeler and D.E. Lacklison, J. Vac. Sci. and Technol. B4, 511 (1986)
R.G. Clark, R.J. Nicholas, M.A. Brummell, A. Usher, S. Collocott, J.C. Portal and F. Alexandre, Solid State Commun. 56, 173 (1985)
F.C. Zhang and S. Das Sarma, to be published (1986)
Y. Ono, J. Phys. Soc. Japan 51, 237 (1982)
R.J. Nicholas, R.G. Clark, A. Usher, J.R. Mallett, A.M. Suckling, J.J. Harris and C.T. Foxon, Solid State Sciences (Springer Verlag) 67, p. 194 (1986)
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Nicholas, R.J. et al. (1987). Recent Advances in the Study of the Fractional Quantum Hall Effect. In: Landwehr, G. (eds) High Magnetic Fields in Semiconductor Physics. Springer Series in Solid-State Sciences, vol 71. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83114-0_23
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DOI: https://doi.org/10.1007/978-3-642-83114-0_23
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