Effective field theory and projective construction for Z{sub k} parafermion fractional quantum Hall states
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
The projective construction is a powerful approach to deriving the bulk and edge field theories of non-Abelian fractional quantum Hall (FQH) states and yields an understanding of non-Abelian FQH states in terms of the simpler integer quantum Hall states. Here we show how to apply the projective construction to the Z{sub k} parafermion (Laughlin/Moore-Read/Read-Rezayi) FQH states, which occur at filling fraction nu=k/(kM+2). This allows us to derive the bulk low-energy effective field theory for these topological phases, which is found to be a Chern-Simons theory at level 1 with a U(M)xSp(2k) gauge field. This approach also helps us understand the non-Abelian quasiholes in terms of holes of the integer quantum Hall states.
- OSTI ID:
- 21366726
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Vol. 81, Issue 15; Other Information: DOI: 10.1103/PhysRevB.81.155302; (c) 2010 The American Physical Society; ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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