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Physical Review B
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Quantized magnetoresistance in multiply connected perimeters in two-dimensional systems

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Abstract

It is shown that multiply connected perimeter contacts of a two-dimenisonal system in the quantized-Hall-effect (QHE) regime have two-terminal resistance values equal to a well-defined rational fraction of he2, depending on the interconnection configurations. A phenomenological model is presented to account for the results which is consistent with quantized dissipation in the vicinity of current-carrying contacts. It is further demonstrated that the interior of the system is dissipationless and the effect is not affected by the inclusion of macroscopic inhomogeneities. © 1984 The American Physical Society.

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Physical Review B

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