Precision of Quantization of the Hall Conductivity in a Sample of Finite Size: Power Law

Details Precision of Quantization of the Hall Conductivity in a Sample of Finite Size: Power Law Precision of Quantization of the Hall Conductivity in a Sample of Finite Size: Power Law

2005-05-25

arxiv.org/abs/cond-mat/0505616v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures

Scientific paper

10.1134/S1063782606010167

A microscopic calculation of the conductivity in the integer quantum Hall effect (IQHE) regime is carried out. The problem of precision of quantization is analyzed for samples of finite size. It is demonstrated that the precision of quantization shows a power-law dependence on the sample size. A new scaling parameter describing a dependence of this kind is introduced. It is also demonstrated that the precision of quantization linearly depends on the ratio between the amplitude of the chaotic potential and the cyclotron energy. The results obtained are compared with the magnetotransport measurements in mesoscopic samples.

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