Fractional quantum Hall effect of hard-core bosons in topological flat bands.
Fractional quantum Hall effect of hard-core bosons in topological flat bands.
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DOI：
10.1103/physrevlett.107.146803
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发表时间：
2011-03
影响因子：
8.6
通讯作者：
Yi-Fei Wang;Z. Gu;C. Gong;D. Sheng
中科院分区：
文献类型：
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作者：
Yi-Fei Wang;Z. Gu;C. Gong;D. Sheng
最近提出的拓扑平带模型为实现无朗道能级的分数量子霍尔效应提供了一条新的途径。我们在两个有代表性的拓扑平带模型中研究了具有短程相互作用的硬核玻色子，其中一个是著名的Haldron模型（但参数不同）。我们证明了分数量子霍尔态出现的签名的偶数quasidegenerate基态上的环面和一个强大的光谱间隙分离这些国家从更高的能量谱。我们还建立了填充因子为1/2的量子相图，并说明了量子相变到其他竞争性的破坏阶段。
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.