The quantized Hall effect in the presence of resistance fluctuations

Details The quantized Hall effect in the presence of resistance fluctuations The quantized Hall effect in the presence of resistance fluctuations

2002-05-24

arxiv.org/abs/cond-mat/0205513v2

Phys. Rev. Lett. 90, 246802 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Includes more data, changed discussion

Scientific paper

10.1103/PhysRevLett.90.246802

We present an experimental study of mesoscopic, two-dimensional electronic systems at high magnetic fields. Our samples, prepared from a low-mobility InGaAs/InAlAs wafer, exhibit reproducible, sample specific, resistance fluctuations. Focusing on the lowest Landau level we find that, while the diagonal resistivity displays strong fluctuations, the Hall resistivity is free of fluctuations and remains quantized at its $\nu=1$ value, $h/e^{2}$. This is true also in the insulating phase that terminates the quantum Hall series. These results extend the validity of the semicircle law of conductivity in the quantum Hall effect to the mesoscopic regime.

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