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

2000/09/26 by Reinhold Brueckner, Brueckner, Reinhold
Engineering · Physics and Astronomy · #FOS: Physical sciences #Magnetic Field Sensors Techniques #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and Classical Electrodynamics #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0009394

4 pages, 2 figures, equations embedded

arxiv created 2000/09/26 · openalex publication_date 2000/09/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show the inconsistency of the argument linking the integral quantum Hall\neffect to gauge invariance. The inconsistency mainly consists of equating gauge\nand real vector potential transformations for a particular system geometry.\nCorrect handling gives no Hall quantization.\n

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