(Received
31 July 2001; published 29 July 2002)
Using^{}heuristic
arguments and numerical simulations it is argued that the^{}critical
exponent
describing the localization length divergence at the^{ }integer
quantumHall transition is modified in the presence of spinorbit^{ }scattering
with shortrange correlations. The exponent is very close to^{ }=
4/3, the percolation correlation length exponent, consistent with the
prediction^{ }of a
semiclassical argument. In addition, a band of weakly^{ }localized
states is conjectured. ©2002 The American Physical Society ^{ }
URL: http://link.aps.org/abstract/PRL/v89/e076602
doi:10.1103/PhysRevLett.89.076602
PACS:
72.20.My, 73.40.Kp, 73.50.Jt Additional
Information
Full Text:
References
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The
statistical error is ~7%. The error due to the fit to F(x)
was estimated by the ^{2}. The
errors in Fig. 3 are the sum of these two sources, and is estimated to
be ±0.2.
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