Quantum Hall Effect: Current distribution and the role of measurement

Based on very general arguments we show that for any geometry of the experiment, in the regime when the measurement leads to a quantized Hall conductivity, almost the entire current injected into the sample is carried by the bulk states. The crucial role of the contacts equilibrating different edge...

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Bibliographic Details
Published in:Solid state communications 1997, Vol.101 (8), p.549-553
Main Authors: Tsemekhman, K., Tsemekhman, V., Wexler, C., Thouless, D.J.
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures
Electronic transport in interface structures
Exact sciences and technology
Physics
Quantum hall effect (including fractional)
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Summary:Based on very general arguments we show that for any geometry of the experiment, in the regime when the measurement leads to a quantized Hall conductivity, almost the entire current injected into the sample is carried by the bulk states. The crucial role of the contacts equilibrating different edge channels is emphasized.
ISSN:0038-1098
1879-2766
DOI:10.1016/S0038-1098(96)00744-2