Peak Values of Conductivity in Integer and Fractional Quantum Hall Effect

TL;DR

This paper measures the peak diagonal conductivity in both integer and fractional quantum Hall effects, revealing consistent peak values across a range of filling factors, supporting scaling theories of QHE.

Contribution

It provides the first direct comparison of peak conductivity values in integer and fractional QHE regimes within the law of corresponding states framework.

Findings

Peak values of $\sigma_{xx}$ are approximately equal for various integer filling factors.

The results support the scaling theory predictions of QHE.

Comparison between integer and fractional regimes is consistent with the law of corresponding states.

Abstract

The diagonal conductivity $\sigma_{xx}$ was measured in the Corbino geometry in both integer and fractional quantum Hall effect (QHE). We find that peak values of $\sigma_{xx}$ are approximately equal for transitions in a wide range of integer filling factors $3<\nu<16$, as expected in scaling theories of QHE. This fact allows us to compare peak values in the integer and fractional regimes within the framework of the law of corresponding states.