Topological order and edge structure of ν=1/2 quantum Hall state
Abstract
We study topological order and edge excitations of the ν=1/2 fractional quantum Hall state (FQH) of spin polarized electrons in a single-layer system. We find that the 1/2 FQH state obtained in the numerical study of Greiter et al. has a non-Abelian topological order suggested by Moore and Read. The edge excitations in such a non-Abelian FQH state are found to be described by the U(1) Kac-Moody algebra plus a chiral Majorana fermion theory. The electron and the quasiparticle propagators are calculated. Some experimental consequences are also discussed.
- Publication:
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Physical Review Letters
- Pub Date:
- January 1993
- DOI:
- 10.1103/PhysRevLett.70.355
- Bibcode:
- 1993PhRvL..70..355W
- Keywords:
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- 73.20.Dx