论文标题

量子蒙特卡洛研究有吸引力的kagome-lattice哈伯德模型

Quantum Monte Carlo study of the attractive kagome-lattice Hubbard model

论文作者

Zhu, Xingchuan, Han, Wanpeng, Feng, Shiping, Guo, Huaiming

论文摘要

最近发现的几种kagome晶格材料家族的实验发现增强了人们对Kagome晶格的电子相关性的兴趣。作为理解观察到的复杂现象的第一步,了解简单形式的相互作用与Kagome晶格上的相关状态之间的对应关系很有帮助。考虑到缺乏此类研究,我们在这里系统地研究了使用平均场方法和行列式量子蒙特卡洛(DQMC)的有吸引力的Kagome-lattice Hubbard模型。平均场均值预测满足三角形规则的电荷密度波秩序,随后的DQMC模拟为其存在提供了间接证据。发现$ S $波超导性在低温下稳定,并且存在于相图的圆顶区域。然后,我们通过对配对结构因子的有限尺寸缩放来定量确定临界温度的超导。这些结果可能有助于理解Kagome晶格材料中观察到的超导性。

Recent experimental discovery of several families of kagome-lattice materials has boosted the interest in electronic correlations on kagome lattice. As an initial step to understand the observed complex phenomena, it is helpful to know the correspondence between simple forms of interactions and the induced correlated states on kagome lattice. Considering the lack of such studies, here we systematically investigate the attractive kagome-lattice Hubbard model using the mean-field approach and determinant quantum Monte Carlo (DQMC). A charge-density-wave order satisfying the triangle rule is predicted by the mean-field treatment, and subsequent DQMC simulations provide indirect evidence for its existence. The $s$-wave superconductivity is found to be stabilized at low temperatures, and exists in dome regions of the phase diagrams. We then determine the superconducting critical temperature quantitatively by finite-size scaling of the pair structure factor. These results may be helpful in understanding the observed superconductivity in kagome-lattice materials.

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