Non-Abelian Quantum Hall Effect in Topological Flat Bands
  Inspired by recent theoretical discovery of robust fractional topological phases without a magnetic field, we search for the non-Abelian quantum Hall effect (NA-QHE) in lattice models with topological flat bands (TFBs). Through extensive numerical studies on the Haldane model with three-body hard-core bosons loaded into a TFB, we find convincing numerical evidence of a stable $\nu=1$ bosonic NA-QHE, with the characteristic three-fold quasi-degeneracy 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. 
Yi-Fei Wang, Hong Yao, Zheng-Cheng Gu, Chang-De Gong, and D. N. Sheng
cond-mat.str-el cond-mat.mes-hall cond-mat.quant-gas quant-ph