Abstract
Discontinuities have been observed in the energy dependence on magnetic field of the luminescence line corresponding to two-dimensional (2D) electron-hole recombination in GaAs-AlGaAs heterojunctions at filling factors v = 2/3, 1/3, 4/5, 3/5, 2/5, 1/5, 1/7 and 1/9. We associate these energy position shifts with discontinuous behaviour of the chemical potential due to condensation of the 2D electrons into an incompressible Fermi liquid state and thereby evaluate the energy gaps at fractional filling factors down to 1/9. Below a critical filling factor (v cr = 0.28) and a critical temperature (Tcr =1.4K at 26T) an additional line has been observed in the spectrum which grows in intensity with decreasing v and dominates the luminescence spectrum at v<1/11. Its appearance is accompanied by a strong reduction in integrated intensity, while its relative intensity decreases sharply at v = 1/5, 1/7 and 1/9. The lack of correlation between v cr and the disorder related properties of the system indicates the intrinsic nature of the line which we propose signals the formation of a pinned Wigner solid.
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References
D.C. Tsui, H.L. Störmer, and A.C. Gossard, Phys.Rev.Lett. 48, 1559 (1982).
R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).
For a recent review see: T. Chakraborty and P. Pietiläinen, The Fractional Quantum Hall Effect (Springer-Verlag, New York, 1988).
P.K. Lam and S.M. Girvin, Rhys. Rev. B30, 473 (1984).
D. Levesque, J.J. Weiss and A.H. MacDonald, Phys. Rev. B30, 1056 (1984).
S.T. Chui, T.M. Hakim and K.B. Ma, Phys. Rev. B33, 7110 (1986).
S. Kivelson, C. Kallin, D.P. Arovas and J.P. Schrieffer, Phys. Rev. B36, 1620 (1987).
V.J. Goldman, M. Shayegan and D.C. Tsui, Phys. Rev.Lett. 61, 881 (1988).
G.S. Boebinger, H.L. Stormer, D.C. Tsui, A.M. Chang, J.C. Hwang, A.Y. Cho, C.W. Tu, and G. Weimann, Phys.Rev. B36, 7919 (1987).
R.L. Willett, H.L. Stormer, D.C. Tsui, A.C. Gossard and J.H. English, Phys. Rev. B37, 8476 (1988).
J.R. Mallett, R.G. Clark, R.J. Nicholas, R. Willett, J.J. Harris and C.T. Foxon, Phys.Rev. B38, 2200 (1988);.
R.G. Clark, J.R. Mallett, S.R. Haynes, J.J. Harris and C.T. Foxon Phys. Rev. Lett. 60, 1747 (1988).
T. Sajoto, Y.W. Suen, L.W. Engel, M.B. Santos and M. Shayegan, Phys. Rev. B41, (15th April 1990).
I.V. Kukushkin, V.B. Timofeev, Pis’ma Zh. Eksp. Teor. Fiz. 44, 179 (1986), [JETP Lett. 44, 228 (1986)].
D. Heiman, B.B. Goldberg, A. Pinczuk, C.W. Tu, A.C. Gossard and J.H. English, Phys. Rev. Lett. 61, 605 (1988).
I.V. Kukushkin, K. von Klitzing, K. Ploog and V.B. Timofeev, Phys.Rev. B40, 7788 (1989).
I.V. Kukushkin, K. von Klitzing, K. Ploog, V.E. Kirpichev and B.N. Shepel, Phys. Rev. B40, 4179 (1989).
H.W. Jiang, H.L. Stormer, D.C. Tsui, L.N. Pfeiffer and K.W. West, Phys Rev. B40, 12013 (1989).
T. Ando, A.B. Fowler and F. Stern, Rev. Mod. Phys. 54, 437 (1982).
E.Y. Andrei, G. Deville, D.C. Glattli, F.I.B. Williams, E. Paris and B. Etienne Phys. Rev. Lett. 60, 2765 (1988).
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© 1992 Springer-Verlag Berlin Heidelberg
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Kukushkin, I.V. et al. (1992). Magneto-Optical Evidence for Fractional Quantum Hall States Down to Filling Factor 1/9 and for Wigner Crystallization. In: Landwehr, G. (eds) High Magnetic Fields in Semiconductor Physics III. Springer Series in Solid-State Sciences, vol 101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84408-9_32
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DOI: https://doi.org/10.1007/978-3-642-84408-9_32
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