Temperature dependence of the spin polarization
of composite fermions
I. V. Kukushkin*
)
Institute of Solid-State Physics, Russian Academy of Sciences, 142432 Chernogolovka,
Moscow Region, Russia; Max Planck Institu ¨t, 70569 Stuttgart, Germany
K. von Klitzing
Max Planck Institute, 70569 Stuttgart, Germany
K. G. Levchenko
Institute of Solid-State Physics, Russian Academy of Sciences, 142432 Chernogolovka,
Moscow Region, Russia
Yu. E. Lozovik
Institute of Spectroscopy, Russian Academy of Sciences, 142092 Troitsk, Moscow Region,
Russia
Submitted 10 November 1999
Pis’ma Zh. E
´
ksp. Teor. Fiz. 70, No. 11, 722–726 10 December 1999
It is found that at a critical value of the magnetic field in which a
system of composite fermions becomes completely spin-polarized, the
temperature dependence of the electronic spin polarization is a linear
function at low temperatures. It is shown that the slope of this depen-
dence is determined by the Fermi energy of the composite fermions.
This made it possible to measure the Fermi energy and the Zeeman
splitting of the composite fermions. A large amplification of the spin
splitting of composite fermions for complete spin polarization of the
system is found. This makes it possible to measure the strength of the
interaction between composite fermions. © 1999 American Institute
of Physics. S0021-36409900423-5
PACS numbers: 05.30.Pr, 71.10.Pm
The concept of new quasiparticles, composite fermions, consisting of an electron
with an even number of attached magnetic-flux quanta, has been proposed to explain the
fractional quantum Hall effect.
1
New states of compressible quantum liquids, realized
with fractional fillings of the Landau levels with even denominators, have been predicted
on the basis of the composite-fermion picture.
2
The existence of composite fermions has
been demonstrated in various experiments in two-dimensional electronic systems in
strong magnetic fields.
3–5
Composite fermions, having the same charge, spin, and statistics as electrons, differ
from the latter by the fact that in the mean-field approximation they are influenced by the
effective magnetic field B * =B -2 n
e
0
, where B is the external field,
0
= hc / e is the
magnetic flux quantum, and n
e
is the electron density. For half-filling of Landau levels
JETP LETTERS VOLUME 70, NUMBER 11 10 DEC. 1999
730 0021-3640/99/70(11)/6/$15.00 © 1999 American Institute of Physics