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arXiv · 0908.0461

Scaling of the quantum-Hall plateau-plateau transition in graphene

A. J. M. Giesbers·U. Zeitler·L. A. Ponomarenko·R. Yang·K. S. Novoselov·A. K. Geim·J. C. Maan
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Abstract

The temperature dependence of the magneto-conductivity in graphene shows that the widths of the longitudinal conductivity peaks, for the N=1 Landau level of electrons and holes, display a power-law behavior following $Δν\propto T^κ$ with a scaling exponent $κ= 0.37\pm0.05$. Similarly the maximum derivative of the quantum Hall plateau transitions $(dσ_{xy}/dν)^{max}$ scales as $T^{-κ}$ with a scaling exponent $κ= 0.41\pm0.04$ for both the first and second electron and hole Landau level. These results confirm the universality of a critical scaling exponent. In the zeroth Landau level, however, the width and derivative are essentially temperature independent, which we explain by a temperature independent intrinsic length that obscures the expected universal scaling behavior of the zeroth Landau level.

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A. J. M. Giesbers, U. Zeitler, L. A. Ponomarenko, R. Yang, K. S. Novoselov, A. K. Geim, J. C. Maan. 2009-08-04. Scaling of the quantum-Hall plateau-plateau transition in graphene. https://doi.org/10.1103/physrevb.80.241411

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