论文标题
扭曲双层中的准晶电子状态以及层间和sublattice对称性的影响
Quasicrystalline electronic states in twisted bilayers and the effects of interlayer and sublattice symmetries
论文作者
论文摘要
我们研究了由原子层不一致的堆栈组成的准晶体的电子结构。我们考虑两个系统：一对相对扭曲角为$θ= 45^\ circ $的正方形晶格，以及一对具有$θ= 30^\ Circ $的六角形晶格，具有各种层间交互强度。这构成了每二维双层准晶体系统。我们研究了每个准晶体对称性中的准晶顺序的共振耦合，并计算准波段分散。如果所有主要的层间相互作用发生在具有相同的磁量子数的原子轨道之间，则在双层准晶体中出现谐振相互作用。因此，不仅由被广泛研究的石墨烯组成的准晶体，而且由过渡金属二进制构成组成的石墨烯也会表现出准晶体状态。我们发现，通常在具有较强的层间相互作用的系统中，一些通常被解耦的单层状态遮盖的准晶状态更为突出，即“暴露”。我们还表明，我们可以通过打开和关闭层间对称性来在Quasicrystalline配置及其图层组件之间切换状态。
We study the electronic structure of quasicrystals composed of incommensurate stacks of atomic layers. We consider two systems: a pair of square lattices with a relative twist angle of $θ=45^\circ$ and a pair of hexagonal lattices with a relative twist angle of $θ=30^\circ$, with various interlayer interaction strengths. This constitutes every two-dimensional bilayer quasicrystal system. We investigate the resonant coupling governing the quasicrystalline order in each quasicrystal symmetry, and calculate the quasi-band dispersion. The resonant interaction emerges in bilayer quasicrystals if all the dominant interlayer interactions occur between the atomic orbitals that have the same magnetic quantum number. Thus, not only the quasicrystal composed of the widely studied graphene, but also those composed of transition metal dichalcogenides will exhibit the quasicrystalline states. We find that some quasicrystalline states, which are usually obscured by decoupled monolayer states, are more prominent, i.e., "exposed", in the systems with strong interlayer interaction. We also show that we can switch the states between quasicrystalline configuration and its layer components, by turning on and off the interlayer symmetry.
