# Current distribution in Hall bars and breakdown of the quantum Hall effect

Source: [Current distribution in Hall bars and breakdown of the quantum Hall effect](<https://www.sota2.com/research/paper/68fa24fd2c2a3760193ab5c7>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T10:03:10.876Z

Authors: K. Shizuya

Published: 2000-06-14T10:36:32.000Z

## Abstract

A numerical study is made of current distribution in small Hall bars with disorder. It is observed, in particular, that in the Hall-plateau regime the Hall current tends to concentrate near the sample edges while it diminishes on average in the sample interior as a consequence of localization. Also reported is another numerical experiment on a related, but rather independent topic, the breakdown of the quantum Hall effect. It is pointed out that the competition of the Hall field with disorder in the sample interior, an intra-subband process, can account for both the magnitude and magnetic-field dependence (proportional to B^{3/2}) of the critical breakdown fields observed experimentally.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0006227>)

[PDF](<https://arxiv.org/pdf/cond-mat/0006227.pdf>)