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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
B.I. Halperin et al.: Phys. Rev. B47, 7312 (1993)
R.R. Du et al.: Phys. Rev. Lett. 70, 2944 (1993) Phys. Rev. Lett. 75, 3926 (1995)
R.L. Willett et al.: Phys. Rev. Lett. 71, 3846 (1993)
V.J. Goldman et al.: Phys. Rev. Lett. 72, 2065 (1994)
J.H. Smet et al.: Phys. Rev. Lett. 77, 2272 (1996)
R.L. Willett et al.: Surf. Sci. 361/362, 38 (1996)
R.R. Du et al.: Phys. Rev. Lett. 70, 2944 (1993) Phys. Rev. Lett. 75, 3926 (1995)
I.V. Kukushkin et al.: Phys. Rev. Lett. 72, 736 (1994)
D.R. Leadley et al.: Phys. Rev. Lett. 72, 1906 (1994)
I.V. Kukushkin et al.: Phys. Rev. B55, 10607 (1997)
I.V. Kukushkin et al.: Phys. Rev. B40, 7788 (1989)
B.I. Halperin: Helv. Phys. Acta 56, 75 (1983)
T. Chakraborty et al.: Phys. Rev. B 29, 7032 (1984)
J.P. Eisenstein et al.: Phys. Rev. Lett. 62, 1540 (1989)
R.G. Clark et al.: Phys. Rev. Lett. 62, 1536 (1989)
L.W. Engel et al.: Phys. Rev. B 45, 3418 (1992)
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)
K. Park, J.K. Jain: Phys. Rev. Lett. 80, 4237 (1998)
J.K. Jain: Phys. Rev. Lett. 63, 199 (1989) Adv. Phys. 41, 105 (1992)
J.K. Jain, R.K. Kamilla: in ‘Composite Fermions’ p.3 (1998)
G. Murthy: Phys. Rev. B 60, 13702 (1999)
T. Nakajima, H. Aoki, Phys. Rev. Lett. 73, 3568 (1994)
S.M. Girvin et al.: Phys. Rev. Lett. 54, 581 (1985)
A. Pinczuk et al.: Phys. Rev. Lett. 70, 3983 (1993) Phys. Rev. Lett. 68, 3623 (1992)
H.D.M. Davies et al.: Phys. Rev. Lett. 78, 4095 (1997)
P. Khandelwal et al.: Phys. Rev. Lett. 81, 673 (1998)
I.V. Kukushkin et al.: JETP Lett. 70, 722 (1999)
F.C. Zhang, S. Das Sarma: Phys. Rev. B 33, 2903 (1986)
A.H. MacDonald, J.J. Palacios, Phys. Rev. B 58, R10171 (1998)
W. Kohn: Phys. Rev. 123, 1242 (1961)
S.I. Gubarev et al.: JETP Lett. 72, 324 (2000)
S.J. Allen et al.: Phys. Rev. B 28, 4875 (1983)
R.R. Gerhardts et al.: Phys. Rev. Lett. 62, 1173 (1989)
J.K. Jain, R.K. Kamilla, Composite Fermions, ed. O. Heinonen, World Scientific Publishing, 1 (1998)
K. Park, J.K. Jain, Phys. Rev. Lett. 80, 4237 (1998)
R.R. Du et al.: Phys. Rev. Lett. 70, 2944 (1993) Phys. Rev. Lett. 75, 3926 (1995)
R.L. Willett: Composite Fermions, ed. O. Heinonen, World Scientific Publishing, 349 (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/3-540-45649-X_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43979-0
Online ISBN: 978-3-540-45649-0
eBook Packages: Springer Book Archive