Fractional statistics and fractional quantized Hall effect
- 15 May 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 31 (10) , 6859-6860
- https://doi.org/10.1103/physrevb.31.6859
Abstract
We suggest that the origin of the odd-denominator rule observed in the fractional quantized Hall effect (FQHE) may lie in fractional statistics which governs quasiparticles in FQHE. A theorem concerning statistics of clusters of quasiparticles implies that fractional statistics does not allow coexistence of a large number of quasiparticles at fillings with an even denominator. Thus, no Hall plateau can be formed at these fillings, regardless of the presence of an energy gap.Keywords
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