Gauge invariance and fractional quantum Hall effect
- 15 July 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 30 (2), 1097-1098
- https://doi.org/10.1103/physrevb.30.1097
Abstract
It is shown that gauge-invariance arguments imply the possibility of the fractional quantum Hall effect; the Hall conductance is accurately quantized to a rational value. The ground state of a system showing the fractional quantum Hall effect must be degenerate; the nondegenerate ground state can only produce the integral quantum Hall effect.Keywords
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