倒易空间中的拓扑带设计
Designing Topological Bands in Reciprocal Space
摘要：
在超冷原子系统中实现人工规范场的新能力，以及它们在晶格系统中访问相关拓扑相的潜力的激励下，我们提出了一种设计拓扑非平凡能带结构的新策略。我们的方法简单而直接：它相当于直接在倒易空间中考虑紧束缚模型。这些模型自然地使原子经历高度均匀的磁通量密度，并导致具有非常窄的色散的拓扑带，而无需对参数进行微调。此外，我们的结构立即产生光学陈格的实例，以及更高的陈数，|C| >1的能带结构。
英文摘要：
Motivated by new capabilities to realise artificial gauge fields in ultracold atomic systems, and by their potential to access correlated topological phases in lattice systems, we present a new strategy for designing topologically non-trivial band structures. Our approach is simple and direct: it amounts to considering tight-binding models directly in reciprocal space. These models naturally cause atoms to experience highly uniform magnetic flux density and lead to topological bands with very narrow dispersion, without fine-tuning of parameters. Further, our construction immediately yields instances of optical Chern lattices, as well as band structures of higher Chern number, |C|>1.
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