Non-Abelian Quantum Hall Effect in Topological Flat Bands

Details Non-Abelian Quantum Hall Effect in Topological Flat Bands Non-Abelian Quantum Hall Effect in Topological Flat Bands

2011-10-22

arxiv.org/abs/1110.4980v3

Phys. Rev. Lett. 108, 126805 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 7 figures

Scientific paper

10.1103/PhysRevLett.108.126805

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.

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