Hopping conductivity in the quantum Hall effect -- revival of universal scaling

Details Hopping conductivity in the quantum Hall effect -- revival of universal scaling Hopping conductivity in the quantum Hall effect -- revival of universal scaling

2001-07-19

arxiv.org/abs/cond-mat/0107412v1

Phys. Rev. Lett. 88, 036802 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.88.036802

We have measured the temperature dependence of the conductivity $\sigma_{xx}$ of a two-dimensional electron system deep into the localized regime of the quantum Hall plateau transition. Using variable-range hopping theory we are able to extract directly the localization length $\xi$ from this experiment. We use our results to study the scaling behavior of $\xi$ as a function of the filling factor distance $|\delta \nu|$ to the critical point of the transition. We find for all samples a power-law behavior $\xi\propto|\delta\nu|^{-\gamma}$ with a universal scaling exponent $\gamma = 2.3$ as proposed theoretically.

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