Scaling Behavior and Variable Hopping Conductivity in the Quantum Hall Plateau Transition

Abstract

We have measured the temperature dependence of the longitudinal resistivity of a two-dimensional electron system in the regime of the quantum Hall plateau transition. We extracted the quantitative form of scaling function for ${\rho }_{xx}$ and compared it with the results of ordinary scaling theory and variable range hopping based theory. We find that the two alternative theoretically proposed scaling functions are valid in different regions.

4 pages, 4 figures

References in corpus (5)

• Continuous Quantum Phase Transitions
• Scaling Theory of the Integer Quantum Hall Effect
• Hopping conductivity in the quantum Hall effect -- revival of universal scaling
• Integer quantum Hall effect of interacting electrons: dynamical scaling and critical conductivity
• Universal scaling, beta function, and metal-insulator transitions