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.
- Received 27 April 1984
DOI:https://doi.org/10.1103/PhysRevB.30.1097
©1984 American Physical Society
