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Magneto-optics of Composite Fermions

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High Magnetic Fields

Part of the book series: Lecture Notes in Physics ((LNP,volume 595))

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Abstract

From the degree of circular polarization of the time-resolved radiative recombination of 2D-electrons with photo-excited holes bound to acceptors we have measured the magnetic field dependence of the electron spin polarization for various fractional and Composite Fermions (CF) states. The Fermi energies of these CF states are measured for the first time and the corresponding value of the CF density of states mass at v = 1/2 is found to be about 4 times heavier than the previously reported values of the “activation” mass. We demonstrate that the Zeeman splitting of CFs is enhanced by a factor of 2.5due to the interaction between CFs. The latter is very sensitive to the finite width of the 2D-channel. The spin polarization at v = 1/3 and v = 2/3 displays an activated behavior and the derived spin-wave gaps are compared with simultaneously measured transport values.

The existence of the microwave (12–40 GHz) cyclotron resonance of Composite Fermions has been demonstrated in a 2D-electron system with an artificial density modulation using a sensitive optical detection scheme. This allows one to measure the cyclotron mass of Composite Fermions. This cyclotron mass increases from 0.68 m 0 to 1.21 m 0 when the electron density varies between 0.6 × 1011 cm−2 and 1.5 × 1011 cm−2.

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References

  1. B.I. Halperin et al.: Phys. Rev. B47, 7312 (1993)

    ADS  Google Scholar 

  2. R.R. Du et al.: Phys. Rev. Lett. 70, 2944 (1993) Phys. Rev. Lett. 75, 3926 (1995)

    Article  ADS  Google Scholar 

  3. R.L. Willett et al.: Phys. Rev. Lett. 71, 3846 (1993)

    Article  ADS  Google Scholar 

  4. V.J. Goldman et al.: Phys. Rev. Lett. 72, 2065 (1994)

    Article  ADS  Google Scholar 

  5. J.H. Smet et al.: Phys. Rev. Lett. 77, 2272 (1996)

    Article  ADS  Google Scholar 

  6. R.L. Willett et al.: Surf. Sci. 361/362, 38 (1996)

    Article  ADS  Google Scholar 

  7. R.R. Du et al.: Phys. Rev. Lett. 70, 2944 (1993) Phys. Rev. Lett. 75, 3926 (1995)

    Article  ADS  Google Scholar 

  8. I.V. Kukushkin et al.: Phys. Rev. Lett. 72, 736 (1994)

    Article  ADS  Google Scholar 

  9. D.R. Leadley et al.: Phys. Rev. Lett. 72, 1906 (1994)

    Article  ADS  Google Scholar 

  10. I.V. Kukushkin et al.: Phys. Rev. B55, 10607 (1997)

    ADS  Google Scholar 

  11. I.V. Kukushkin et al.: Phys. Rev. B40, 7788 (1989)

    ADS  Google Scholar 

  12. B.I. Halperin: Helv. Phys. Acta 56, 75 (1983)

    Google Scholar 

  13. T. Chakraborty et al.: Phys. Rev. B 29, 7032 (1984)

    Article  ADS  Google Scholar 

  14. J.P. Eisenstein et al.: Phys. Rev. Lett. 62, 1540 (1989)

    Article  ADS  Google Scholar 

  15. R.G. Clark et al.: Phys. Rev. Lett. 62, 1536 (1989)

    Article  ADS  Google Scholar 

  16. L.W. Engel et al.: Phys. Rev. B 45, 3418 (1992)

    Article  ADS  Google Scholar 

  17. I.V. Kukushkin et al.: Phys. Rev. B 40, 7788 (1989) Phys. Rev. B 55, 10607 (1997) Phys. Rev. B 60, 2554 (1999) Phys. Rev. Lett. 82, 3665 (1999)

    Article  ADS  Google Scholar 

  18. K. Park, J.K. Jain: Phys. Rev. Lett. 80, 4237 (1998)

    Article  ADS  Google Scholar 

  19. J.K. Jain: Phys. Rev. Lett. 63, 199 (1989) Adv. Phys. 41, 105 (1992)

    Article  ADS  Google Scholar 

  20. J.K. Jain, R.K. Kamilla: in ‘Composite Fermions’ p.3 (1998)

    Google Scholar 

  21. G. Murthy: Phys. Rev. B 60, 13702 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  22. T. Nakajima, H. Aoki, Phys. Rev. Lett. 73, 3568 (1994)

    Article  ADS  Google Scholar 

  23. S.M. Girvin et al.: Phys. Rev. Lett. 54, 581 (1985)

    Article  ADS  Google Scholar 

  24. A. Pinczuk et al.: Phys. Rev. Lett. 70, 3983 (1993) Phys. Rev. Lett. 68, 3623 (1992)

    Article  ADS  Google Scholar 

  25. H.D.M. Davies et al.: Phys. Rev. Lett. 78, 4095 (1997)

    Article  ADS  Google Scholar 

  26. P. Khandelwal et al.: Phys. Rev. Lett. 81, 673 (1998)

    Article  ADS  Google Scholar 

  27. I.V. Kukushkin et al.: JETP Lett. 70, 722 (1999)

    Article  ADS  Google Scholar 

  28. F.C. Zhang, S. Das Sarma: Phys. Rev. B 33, 2903 (1986)

    Article  ADS  Google Scholar 

  29. A.H. MacDonald, J.J. Palacios, Phys. Rev. B 58, R10171 (1998)

    Article  ADS  Google Scholar 

  30. W. Kohn: Phys. Rev. 123, 1242 (1961)

    Article  MATH  ADS  Google Scholar 

  31. S.I. Gubarev et al.: JETP Lett. 72, 324 (2000)

    Article  ADS  Google Scholar 

  32. S.J. Allen et al.: Phys. Rev. B 28, 4875 (1983)

    ADS  Google Scholar 

  33. R.R. Gerhardts et al.: Phys. Rev. Lett. 62, 1173 (1989)

    Article  ADS  Google Scholar 

  34. J.K. Jain, R.K. Kamilla, Composite Fermions, ed. O. Heinonen, World Scientific Publishing, 1 (1998)

    Google Scholar 

  35. K. Park, J.K. Jain, Phys. Rev. Lett. 80, 4237 (1998)

    Article  ADS  Google Scholar 

  36. R.R. Du et al.: Phys. Rev. Lett. 70, 2944 (1993) Phys. Rev. Lett. 75, 3926 (1995)

    Article  ADS  Google Scholar 

  37. R.L. Willett: Composite Fermions, ed. O. Heinonen, World Scientific Publishing, 349 (1998)

    Google Scholar 

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Kukushkin, I.V. (2002). Magneto-optics of Composite Fermions. In: Berthier, C., Lévy, L.P., Martinez, G. (eds) High Magnetic Fields. Lecture Notes in Physics, vol 595. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45649-X_3

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  • DOI: https://doi.org/10.1007/3-540-45649-X_3

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