STUDY OF SCALING IN THE FRACTIONAL QUANTUM HALL-EFFECT

In the composite fermion model of the fractional quantum Hall effect, composite fermions experience, in addition to the usual potential diso rder, also a magnetic flux disorder. Motivated by this, we investigate the localization properties of a single fermion in two dimensions, mo ving in the presence of both static potential and static magnetic flux disorders, but with a non-zero average magnetic field. It is found th at the exponent characterizing the divergence of the localization leng th is not changed upon the addition of the flux disorder, provided it is not too large.