A New Spin-Orbit Induced Universality Class in the Quantum Hall Regime ?

Details A New Spin-Orbit Induced Universality Class in the Quantum Hall Regime ? A New Spin-Orbit Induced Universality Class in the Quantum Hall Regime ?

2001-07-30

arxiv.org/abs/cond-mat/0107591v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 two-column pages including 4 eps figures

Scientific paper

10.1103/PhysRevLett.89.076602

Using heuristic arguments and numerical simulations it is argued that the critical exponent $\nu$ describing the localization length divergence at the quantum Hall transition is modified in the presence of spin-orbit scattering with short range correlations. The exponent is very close to $\nu=4/3$, the percolation correlation length exponent, the prediction of a semi-classical argument. In addition, a region of weakly localized regime, where the localization length is exponentially large, is conjectured.

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