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  • Title: Fractional quantum Hall effect of hard-core bosons in topological flat bands.
    Author: Wang YF, Gu ZC, Gong CD, Sheng DN.
    Journal: Phys Rev Lett; 2011 Sep 30; 107(14):146803. PubMed ID: 22107227.
    Abstract:
    Recent proposals of topological flat band models have provided a new route to realize the fractional quantum Hall effect without Landau levels. We study hard-core bosons with short-range interactions in two representative topological flat band models, one of which is the well-known Haldane model (but with different parameters). We demonstrate that fractional quantum Hall states emerge with signatures of an even number of quasidegenerate ground states on a torus and a robust spectrum gap separating these states from the higher energy spectrum. We also establish quantum phase diagrams for the filling factor 1/2 and illustrate quantum phase transitions to other competing symmetry-breaking phases.
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