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Phys. Rev. Lett. 91, 236802 (2003) [4 pages]

Near-Perfect Correlation of the Resistance Components of Mesoscopic Samples at the Quantum Hall Regime

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E. Peled1, D. Shahar1, Y. Chen2, E. Diez2,*, D. L. Sivco3, and A. Y. Cho3
1Department of Condensed Matter Physics, The Weizmann Institute of Science, Rehovot 76100, Israel
2Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA
3Bell Laboratories, Lucent Technologies, 600 Mountain Avenue, Murray Hill, New Jersey 07974, USA

Received 15 July 2003; published 4 December 2003

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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.236802
DOI:
10.1103/PhysRevLett.91.236802
PACS:
73.43.–f, 73.23.–b

*Present address: Departamento de Física, Facultad de Ciencias, Universidad de Salamanca, E-37008 Salamanca, Spain