论文标题

在不平衡的Kagome-lattice Hubbard模型中,非常规的铁磁和自旋三磁力超导性

Unconventional ferromagnetism and spin-triplet superconductivity in the imbalanced Kagome-lattice Hubbard model

论文作者

Wen, Chenyue, Zhu, Xingchuan, Hao, Ning, Guo, Huaiming, Feng, Shiping

论文摘要

在不平衡的Kagome-tatch Hubbard模型中,非常规铁磁学和超导性通过平均场理论和行列式量子蒙特卡洛法研究了。由于kagome晶格的不对称带结构,旋转$ z $铁磁阶在系统中本质上存在,首先通过相互作用增强,然后在中等相互作用强度达到最大值后不断破坏。相比之下,$ xy $ - 平面的铁磁性仅在关键交互之上发展,估计通过有限大小的缩放量表,估计为$ u_c/t = 3.65 \ pm 0.05 $。我们进一步验证了上述横向磁过渡的性质,并证明它属于三维$ xy $通用类。最后,我们研究了超导属性,并揭示了可能的超导状态具有三胞胎$ f $ - 波配对对称性。我们的结果揭示了由Kagome晶格上的相互作用引起的外来量子状态,并就电子相关性和几何挫败感之间的相互作用提供了重要的见解。

Unconventional ferromagnetism and superconductivity in the imbalanced kagome-lattice Hubbard model are investigated by the mean-field theory and determinant quantum Monte Carlo method. Due to the asymmetric band structure of kagome lattice, the spin-$z$ ferromagnetic order intrinsically exists in the system, which is first enhanced by the interaction, and then continuously destructed after reaching a maximum at a moderate interaction strength. In contrast, the $xy$-plane ferromagnetism develops only above a critical interaction, which is estimated to be $U_c/t=3.65 \pm 0.05$ by finite-size scaling. We further verify the nature of the above transverse magnetic transition, and demonstrate it belongs to the three-dimensional $XY$ universality class. Finally, we study the superconducting property, and reveal the possible superconducting state has a triplet $f$-wave pairing symmetry. Our results uncover the exotic quantum states induced by the interactions on kagome lattice, and provide important insights regarding the interplay between electronic correlations and geometry frustrations.

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