Examining the Connection between Gauge Invariance and the Integral Quantum Hall Effect

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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4 pages, 2 figures, equations embedded

Scientific paper

We show the inconsistency of the argument linking the integral quantum Hall
effect to gauge invariance. The inconsistency mainly consists of equating gauge
and real vector potential transformations for a particular system geometry.
Correct handling gives no Hall quantization.

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