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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
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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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E. Peled, D. Shahar, Y. Chen, E. Diez, D. L. Sivco, A. Y. Cho. 2003-12-10. Near-Perfect Correlation of the Resistance Components of Mesoscopic Samples at the Quantum Hall Regime. https://doi.org/10.1103/physrevlett.91.236802

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