Moiré与Mott：一维双色晶格中的干涉与相互作用
Moiré versus Mott: Incommensuration and Interaction in One-Dimensional Bichromatic Lattices
摘要：
受二维扭曲双层云纹系统丰富物理性质的启发，我们通过精确数值对角化方法研究了库仑相互作用系统在两个不相等周期的有限一维晶格势相互作用下的行为.不匹配的基础晶格周期导致一个1D双色的“莫尔”超晶格与一个大的单位晶胞，因此一个强烈的扁平带，指数增强有效的无量纲电子-电子相互作用强度，并表现出清晰的签名增强莫特间隙离散填充。一个重要的非微扰发现是精确晶格周期的显著微调效应，其中相对晶格周期的轻微变化可能导致相关绝缘相的抑制，与扭曲双层石墨烯中相关绝缘相的观察到的脆性定性一致。我们的预测，这应该是直接验证的双色光晶格，建立相互作用和inflation之间的竞争是一个关键要素的物理莫尔超晶格。
英文摘要：
Inspired by the rich physics of twisted 2D bilayer moiré systems, we study Coulomb interacting systems subjected to two overlapping finite 1D lattice potentials of unequal periods through exact numerical diagonalization. Unmatching underlying lattice periods lead to a 1D bichromatic `moiré' superlattice with a large unit cell and consequently a strongly flattened band, exponentially enhancing the effective dimensionless electron-electron interaction strength and manifesting clear signatures of enhanced Mott gaps at discrete fillings. An important non-perturbative finding is a remarkable fine-tuning effect of the precise lattice commensuration, where slight variations in the relative lattice periods may lead to a suppression of the correlated insulating phase, in qualitative agreement with the observed fragility of the correlated insulating phase in twisted bilayer graphene. Our predictions, which should be directly verifiable in bichromatic optical lattices, establish that the competition between interaction and incommensuration is a key element of the physics of moiré superlattices.
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