Near-Perfect Correlation of the Resistance Components of Mesoscopic Samples at the Quantum Hall Regime
E. Peled, D. Shahar, Y. Chen, E. Diez, D. L. Sivco, A. Y. Cho
Abstract
We study the four-terminal resistance fluctuations of mesoscopic samples near the transition between the ν=2 and the ν=1 quantum Hall states. We observe near-perfect correlations between the fluctuations of the longitudinal and Hall components of the resistance. These correlated fluctuations appear in a magnetic-field range for which the two-terminal resistance of the samples is quantized. We discuss these findings in light of edge-state transport models of the quantum Hall effect. We also show that our results lead to an ambiguity in the determination of the width of quantum Hall transitions.
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