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

Reinhold Brueckner

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

Reinhold Brueckner

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Abstract

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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Reinhold Brueckner. 2000-09-26. Examining the Connection between Gauge Invariance and the Integral Quantum Hall Effect. https://arxiv.org/abs/cond-mat/0009394

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