烧绿石中具有高Chern数的平坦带
Flat bands with higher Chern number in pyrochlore slabs
摘要：
最近的大量工作指出，在晶格模型中，由于陈数C=1的近平带中的有效相互作用，出现了有趣的分数量子霍尔态类似物。在这里，我们提供了一个直观和有效的建设几乎无色散带具有较高的陈数。受量子霍尔多层膜和基于烧绿石的过渡金属氧化物物理的启发，我们研究了一个紧束缚模型，该模型描述了N个平行kagome层中的自旋轨道耦合电子，这些层由形成N-1个中间三角层的顶点连接（如烧绿石晶格中）。对于每一个N，我们发现在参数空间中的有限区域给出一个几乎平坦的带C=N。我们解析地表示在这些拓扑带内的单层状态，从而明确地表明，C=N波函数有一个吸引人的结构，其中层指数和在倒易空间中的平移是错综复杂地耦合。这为新的集体物质状态提供了一个有希望的舞台。
英文摘要：
A large number of recent works point to the emergence of intriguing analogs of fractional quantum Hall states in lattice models due to effective interactions in nearly flat bands with Chern number C=1. Here, we provide an intuitive and efficient construction of almost dispersionless bands with higher Chern numbers. Inspired by the physics of quantum Hall multilayers and pyrochlore-based transition-metal oxides, we study a tight-binding model describing spin-orbit coupled electrons in N parallel kagome layers connected by apical sites forming N-1 intermediate triangular layers (as in the pyrochlore lattice). For each N, we find finite regions in parameter space giving a virtually flat band with C=N. We analytically express the states within these topological bands in terms of single-layer states and thereby explicitly demonstrate that the C=N wave functions have an appealing structure in which layer index and translations in reciprocal space are intricately coupled. This provides a promising arena for new collective states of matter.
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