标题： 三带Hubbard模型中的空穴聚类与相互作用 显示英文标题

标题： Hole clustering and mutual interplay in three-band Hubbard model

摘要： 近期的扫描隧道光谱（STS）实验揭示了由$4\times4$氧化铜$_2$单元组成的超胞在局域向列态、预配对局域库珀对以及相位相干铜氧化物超导性出现过程中的重要作用。 通过采用数值精确的行列式量子蒙特卡洛模拟方法，我们通过外部局域势来模仿实验中钙空位的效果，以研究含有两个掺杂空穴系统的电荷和频谱性质。 该模型通过局域势周围的空穴密度分布和局域频谱，从数值上支持了$4\times4$超胞作为空穴掺杂铜氧化物基本构建单元的作用。 我们的结果可能为实验观测提供理论支持，并为研究基于$4\times4$超胞的局域电荷序和局域库珀对提供一个平台，从而为理解非常规铜氧化物超导性提供一种可能的途径。 显示英文摘要

摘要： Recent scanning tunnelling spectroscopy (STS) experiments revealed remarkable role of a supercell consisting $4\times4$ CuO$_2$ unit cells in the emergence of local nematic state and preformed local Cooper pairs and phase coherent cuprate superconductivity. By employing the numerically exact determinant Quantum Monte Carlo simulations, we mimic the effects of experimental Ca vacancy by an external local potential to investigate the charge and spectral properties of the system hosting two doped holes. The model numerically support the role of the $4\times4$ supercell as the building block of hole doped cuprates via the hole density distribution and local spectra around the local potential. Our results might provide a theoretical support on the experimental observations and a platform for investigating local charge order and local Cooper pairs on the $4\times4$ supercell as the plausible route to understanding unconventional cuprate superconductivity.