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  • Title: Non-abelian quantum Hall effect in topological flat bands.
    Author: Wang YF, Yao H, Gu ZC, Gong CD, Sheng DN.
    Journal: Phys Rev Lett; 2012 Mar 23; 108(12):126805. PubMed ID: 22540612.
    Abstract:
    Inspired by the recent theoretical discovery of robust fractional topological phases without a magnetic field, we search for the non-abelian quantum Hall effect in lattice models with topological flat bands. Through extensive numerical studies on the Haldane model with three-body hard-core bosons loaded into a topological flat band, we find convincing numerical evidence of a stable ν=1 bosonic non-abelian quantum Hall effect, with the characteristic threefold quasidegeneracy of ground states on a torus, a quantized Chern number, and a robust spectrum gap. Moreover, the spectrum for two-quasihole states also shows a finite energy gap, with the number of states in the lower-energy sector satisfying the same counting rule as the Moore-Read pfaffian state.
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