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The Influence of Coulomb Interactions on a 2DEG in High Magnetic Fields

  • R. J. Nicholas
  • D. J. Barnes
  • R. G. Clark
  • S. R. Haynes
  • J. R. Mallett
  • A. M. Suckling
  • A. Usher
  • J. J. Harris
  • C. T. Foxon
  • R. Willett
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 87)

Abstract

Optical and thermal activation studies have been made of the magneto-excitations in a 2DEG in high magnetic fields. At integer Landau level occupancies it is found that both the ‘bare’ spin and cyclotron energies have considerable exchange contributions due to Coulomb interactions when measured by activation. For fractional occupancies the many body ground state at v = 1/5 has been shown to give a new hierarchy of states, and its excitation energies compared with the family arising from v = 1/3. Cyclotron resonance studies at 200mK where the carriers are condensed into the fractional ground state show no evidence of Coulomb interactions.

Keywords

Coulomb Interaction Cyclotron Resonance High Magnetic Field Landau Level Spin Splitting 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    F.F. Fang and P.J. Stiles, Phys. Rev. 174, 823 (1968)CrossRefGoogle Scholar
  2. 2.
    A. Usher, R.J. Nicholas, J.J. Harris, and C.T. Foxon, Proc. Int. Conf. on Physics of Semiconductors, Warsaw, 1988, to be published(1989)Google Scholar
  3. 3.
    R.J. Nicholas, R.Haug, K.vonKlitzing and G.Weimann, Phys. Rev. B37 1294 (1988)Google Scholar
  4. 4.
    D.C. Tsui, H.L. Stormer and A.C. Gossard, Phys. Rev. Lett. 481559 (1982)CrossRefGoogle Scholar
  5. 5.
    R.G. Clark, R.J. Nicholas, A. Usher, J.J. Harris, and C.T. Foxon, Surf. Sci. 170, 141 (1986)CrossRefGoogle Scholar
  6. 6.
    R. Willett, H.L. Stormer, D.C. Tsui, A.C. Gossard, J.H. English and K.W. Baldwin, Surf. Sci. 196, 257 (1988)CrossRefGoogle Scholar
  7. 7.
    R.B. Laughlin, Phys. Rev. Lett. 501395 (1983)CrossRefGoogle Scholar
  8. R.B. Laughlin, Surf. Sci. 141 11 (1984)Google Scholar
  9. 8.
    F.D.M. Haldane, Phys. Rev. Lett. 51 605 (1983)CrossRefGoogle Scholar
  10. 9.
    B.I. Halperin, Phys. Rev. Lett. 52 1583 (1984)CrossRefGoogle Scholar
  11. 10.
    F.C. Zhang, and T. Chakraborty, Phys. Rev. B30 7320 (1984)CrossRefGoogle Scholar
  12. F.C. Zhang, and T. Chakraborty, Phys. Rev. B34 7076 (1986)CrossRefGoogle Scholar
  13. 11.
    T. Chakraborty, P. Pietilainen and F.C. Zhang, Phys. Rev. Lett. 57 130 (1986)CrossRefGoogle Scholar
  14. 12.
    P.A. Maksym, R.G. Clark, S.R. Haynes, J.R. Mallett, J.J. Harris and C.T. Foxon; and R.G. Clark, J.R. Mallett, S.R. Haynes, J.J. Harris, C.T. Foxon and P.A. Maksym, In Proc. Int. Conf. on Applications of High Magnetic Fields, Wurzburg, 1988 to be published Google Scholar
  15. 13.
    C. Kallin and B.I. Halperin, Phys. Rev. B30 5655 (1984)CrossRefGoogle Scholar
  16. 14.
    A.H. McDonald, H.C.A. Oji, and S.M. Girvin, Phys. Rev. Lett. 55 2208 (1985)CrossRefGoogle Scholar
  17. 15.
    W. Kohn, Phys. Rev. 123 1242 (1961)CrossRefGoogle Scholar
  18. 16.
    C. Kallin and B.I. Halperin, Phys. Rev. B31 3635 (1985)CrossRefGoogle Scholar
  19. 17.
    C.T. Foxon, J.J. Harris, R.G. Wheeler and D.E. Lacklison, J. Vac. Sci. and Technol. B4 511 (1986)CrossRefGoogle Scholar
  20. 18.
    R.G. Clark, S.R. Haynes, R.G. Benda11, J.R. Mallett, A. Usher, A.M. Suckling, Y. Journeaux and H. Jones, Cryogenics, to be published Google Scholar
  21. 19.
    D. Weiss, K. vonKlitzing and V. Mosser, In Springer Series in Solid State Sciences 67 204 (1986)Google Scholar
  22. 20.
    T.P. Smith, B.B. Goldberg, P.J. Stiles and M. Heiblum, Phys. Rev. B32 2696Google Scholar
  23. 21.
    E.Gornik, In The Physics of the Two—dimensional Electron Gas ed. by J.T. Devreese and F.M. Peeters, NATO ASI Series B157 365 (1987)Google Scholar
  24. 22.
    H. Aoki, Rep. Prog. Phys. 50 655 (1987)CrossRefGoogle Scholar
  25. 23.
    R.J. Nicholas, R.A. Stradling, and R.Tidey, Solid State Commun. 23 341 (1977)CrossRefGoogle Scholar
  26. 24.
    G. Ebert, K. vonKlitzing, C. Probst, E. Schuberth, K. Ploog, and G. Weimann, Solid State Commun. 45 625 (1983)CrossRefGoogle Scholar
  27. 25.
    C. Hermann and C. Weisbuch, Phys. Rev. B15 823 (1977)CrossRefGoogle Scholar
  28. 26.
    M. Dobers, unpublished results, see G. Lommer, F. Malcher and U. Rossler, Superlattices and Microstructures 2 273 (1986)CrossRefGoogle Scholar
  29. 27.
    T. Englert, D.C. Tsui, A.C. Gossard and C. Uihlein, Surf. Sci. 113 295 (1982)CrossRefGoogle Scholar
  30. 28.
    F.C. Zhang and S. Das Sarma, Phys. Rev. B33 2903 (1986)CrossRefGoogle Scholar
  31. 29.
    T. Ando and Y. Uemura, J. Phys. Soc. Japan 37 1044 (1974)CrossRefGoogle Scholar
  32. 30.
    A. Usher, R.J. Nicholas, J.J. Harris and C.T. Foxon, to be published Google Scholar
  33. 31.
    T. Ando, J. Phys. Soc. Japan 43 1616 (1977)CrossRefGoogle Scholar
  34. 32.
    M.A.Hopkins, D.Barnes, R.Nicholas, M.Brummell, J.Harris and C.T.Foxon, Proc. Int. Conf. on Physics of Semiconductors, Warsaw, 1988, to be published (1989)Google Scholar
  35. 33.
    R.G. Clark, J.R. Mallett, S.R. Haynes, J.J. Harris and C.T. Foxon, Phys. Rev. Lett. 60 1747 (1988)CrossRefGoogle Scholar
  36. 34.
    E.E. Mendez, M. Heiblum, L. Chang and L.Esaki, Phys. Rev. B28 4886 (1983)CrossRefGoogle Scholar
  37. 35.
    R.J. Nicholas, R.G. Clark, A. Usher, J. Mallett, A.M. Suckling, J.J. Harris and C.T. Foxon, In Springer Series in Solid State Science ed. G. Landwehr 71 146(1986)Google Scholar
  38. 36.
    J.R. Mallett, R.G. Clark, R.J. Nicholas, J.J. Harris and C.T. Foxon, Phys. Rev. B38 in pressGoogle Scholar
  39. 37.
    E.Y. Andrei, G. Deville, D.C. Glattli, F.I.B. Williams, E. Paris and B. Etienne, Phys. Rev. Lett. 60 2765 (1988)CrossRefGoogle Scholar
  40. 38.
    T. Chakraborty, Phys. Rev. B31 4026 (1985)Google Scholar
  41. R. Morf and B.I. Halperin, Phys. Rev. B33 2221 (1986)CrossRefGoogle Scholar
  42. A.H. McDonald and S.M. Girvin, Phys. Rev. B33 4414 (1986)CrossRefGoogle Scholar
  43. G. Fano, F. Ortolani and E. Colombo, Phys. Rev. B34 2670Google Scholar
  44. F.D.M. Haldane and E.H. Rezayi, Phys. Rev. Leu. 54 237 (1985)CrossRefGoogle Scholar
  45. A.H. McDonald and D.B. Murray, Phys. Rev. B32 2707 (1985)Google Scholar
  46. W.P. Su, Phys. Rev. B32 2617 (1985)CrossRefGoogle Scholar
  47. 39.
    T. Chakraborty, Phys. Rev. B34 2926 (1986)CrossRefGoogle Scholar
  48. 40.
    D. Yoshioka, J. Phys. Soc. Japan 55 3960 (1986)CrossRefGoogle Scholar
  49. 41.
    A.H. McDonald, K. Liu, S.M. Girvin and P.M. Platzman, Phys. Rev. B33 4014Google Scholar
  50. 42.
    G.L. Rikken, H.W. Myron, G.J.Langerak and H.Sigg, Surf. Sci. 170 160 (1986)CrossRefGoogle Scholar
  51. 43.
    W. Seidenbusch, E. Gornik and G. Weimann, Phys. Rev. B36 9155 (1987)CrossRefGoogle Scholar
  52. 44.
    K.W. Chiu, T.K. Lee and J.J. Quinn, Surf. Sci. 58 182 (1976)CrossRefGoogle Scholar
  53. 45.
    P. Pietilainen and T. Chakraborty, to be published Google Scholar
  54. 46.
    Z. Schlesinger, W.I. Wang and A.H. McDonald, Phys. Rev. Lett. 58 73 (1987)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • R. J. Nicholas
    • 1
  • D. J. Barnes
    • 1
  • R. G. Clark
    • 1
  • S. R. Haynes
    • 1
  • J. R. Mallett
    • 1
  • A. M. Suckling
    • 1
  • A. Usher
    • 1
  • J. J. Harris
    • 2
  • C. T. Foxon
    • 2
  • R. Willett
    • 3
  1. 1.Clarendon LaboratoryOxfordUK
  2. 2.Philips Research LaboratoryRedhill, SurreyUK
  3. 3.Massachusetts Institute of TechnologyCambridgeUSA

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