Scaling of the critical current in the quantum Hall effect: A probe of current distribution

N. Q. Balaban*, U. Meirav, H. Shtrikman, Y. Levinson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

77 Scopus citations

Abstract

The critical current Ic for the breakdown of the quantum Hall effect is found to scale logarithmically with the channel width for all Landau levels. We interpret this experimental result as a manifestation of a logarithmic distribution of the Hall potential, and hence current, across the channel. A new perspective on the breakdown mechanism is obtained. In particular, inter-Landau-level transitions, previously thought to predict values of Ic much too high, are actually shown to be in quantitative agreement with experiments interpreted in this manner.

Original languageAmerican English
Pages (from-to)1443-1446
Number of pages4
JournalPhysical Review Letters
Volume71
Issue number9
DOIs
StatePublished - 1993
Externally publishedYes

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