论文标题

强大的平板带,在蜂窝超级晶格中具有可调能量

Robust Flat Bands with Tunable Energies in Honeycomb Superlattices

论文作者

Qi, Zihao, Bobrow, Eric, Li, Yi

论文摘要

晶格模型中的扁平频段为研究强相关性和拓扑物理学提供了有用的平台。最近,蜂窝超级晶格已被证明可以容纳持续存在的平坦带,这些频带持续存在尊重晶格对称性的局部扰动。我们通过分析在较长范围跳跃的情况下分析得出平坦带能量,并发现平坦带的能量可以通过这些扰动来调节。在真实空间中,波函数是由每个蜂窝边缘上的站立波构建的,由于在真实空间中的破坏性干扰,可以构建plaquette和loop eigenstates的构造,从而引起了平面带对远距离跳跃的稳固带。

Flat bands in lattice models have provided useful platforms for studying strong correlation and topological physics. Recently, honeycomb superlattices have been shown to host flat bands that persist in the presence of local perturbations respecting lattice symmetries. We analytically derive the flat band energies in the presence of longer range hopping and find that the energies of flat bands are tunable by these perturbations. In real space, the wave function is constructed from standing waves on each honeycomb edge, allowing the construction of plaquette and loop eigenstates due to destructive interference in real space that give rise to the flat bands robust against long range hoppings.

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