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

Abstract

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.

4 two-column pages including 4 eps figures

References in corpus (2)

• Resistance Spikes at Transitions between Quantum Hall Ferromagnets
• Hopping conductivity in the quantum Hall effect -- revival of universal scaling

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• Sliding charge density waves and zero-resistance states in GaAs/AlGaAs heterostructures