$30^\circ$旋转双莫尔超晶格中的三角准晶态
Trigonal Quasicrystalline States in $30^\circ$ Rotated Double Moiré Superlattices
摘要：
我们研究了双莫尔超晶格的晶格构型和电子结构，该超晶格由石墨烯层和另外两层以使得两个六边形莫尔图案以十二方准晶构型排列的方式封装而成。我们表明，有0和4之间的这种配置取决于石墨烯和封装层之间的晶格失配。然后，我们揭示了共振相互作用，这是不同于传统的2-，3-，4-波混合的莫尔超晶格，汇集在一起，并杂交12个退化布洛赫态的单层石墨烯。由于波矢的对称性，这些态不完全满足十二方准晶的旋转对称性。相反，它们的波函数在更接近石墨烯的电荷中性点的能量下表现出缺乏反转对称性的三角准晶有序。
英文摘要：
We study the lattice configuration and electronic structure of a double moiré superlattice, which is composed of a graphene layer encapsulated by two other layers in a way such that the two hexagonal moiré patterns are arranged in a dodecagonal quasicrystalline configuration. We show that there are between 0 and 4 such configurations depending on the lattice mismatch between graphene and the encapsulating layer. We then reveal the resonant interaction, which is distinct from the conventional 2-, 3-, 4-wave mixing of moiré superlattices, that brings together and hybridizes twelve degenerate Bloch states of monolayer graphene. These states do not fully satisfy the dodecagonal quasicrystalline rotational symmetry due to the symmetry of the wave vectors involved. Instead, their wave functions exhibit trigonal quasicrystalline order, which lacks inversion symmetry, at the energies much closer to the charge neutrality point of graphene.
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