title: Non-abelian quantum Hall effect in topological flat bands.
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.
authors.affiliation: Center for Statistical and Theoretical Condensed Matter Physics, and Department of Physics, Zhejiang Normal University, Jinhua 321004, China.
authors.forename: Yi-Fei
authors.initials: YF
authors.lastname: Wang
authors.forename: Hong
authors.initials: H
authors.lastname: Yao
authors.forename: Zheng-Cheng
authors.initials: ZC
authors.lastname: Gu
authors.forename: Chang-De
authors.initials: CD
authors.lastname: Gong
authors.forename: D N
authors.initials: DN
authors.lastname: Sheng