Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two

Details Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two

2012-04-08

arxiv.org/abs/1204.1697v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 7 figures

Scientific paper

Recent theoretical works have demonstrated various robust Abelian and non-Abelian fractional quantum Hall states in lattice models with topological flat bands carrying a Chern number C=1. Here we study hard-core bosons in a three-band triangular-lattice model with the lowest topological flat band of Chern number C=2. We find convincing numerical evidence of bosonic fractional quantum Hall effect at the $\nu=1/3$ filling characterized by three-fold quasi-degeneracy of ground states on a torus, a fractional quantized Chern number for each ground state, a robust spectrum gap, and a gap in quasihole excitation spectrum. More surprisingly for the 1/4 filling, fractional quantum Hall features are also observed, while the topological ground-state degeneracy varies with the particle numbers and shows a strong even-odd effect.

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