AI 中文总结
研究关联电子系统中键流形状因子、磁化率各向异性与实空间电流拓扑的关系，通过推导允许的键流形状因子，发现其各向异性与电流状态的联系，在不同晶格产生多种电流模式，建立三者联系并提供识别环电流序及解释对称性破缺特征的框架。
AI 中文摘要
我们推导了由方形、三角形和 Kagome 晶格上最近邻键电荷相互作用产生的所有对称允许的键流形状因子。发现键流磁化率的各向异性系统地有利于支持闭环电流状态的有序波矢，而具有较弱磁化率的对称相关波矢产生非循环电流纹理。在范霍夫填充附近，这种对应关系在所有考虑的晶格几何结构中都很稳健，在方形晶格上产生交错磁通相，在三角形晶格上产生菱形电流模式，在 Kagome 晶格上产生手性和非手性环电流状态。我们的结果建立了键流形状因子、磁化率各向异性和实空间电流拓扑之间的直接联系，为识别环电流序和解释关联电子材料中时间反演对称性破缺的特征提供了一个通用框架。
英文摘要
We derive all symmetry-allowed bond-current form factors generated by nearest-neighbor bond-charge interactions on square, triangular, and kagome lattices. We find that the anisotropy of the bond-current susceptibility systematically favors ordering wave vectors that support closed loop-current states, whereas symmetry-related wave vectors with weaker susceptibility generate noncirculating current textures. Near van Hove filling, this correspondence is robust across all lattice geometries considered, producing staggered flux phases on the square lattice, diamond-shaped current patterns on the triangular lattice and both chiral and nonchiral loop-current states on the kagome lattice. Our results establish a direct link between bond-current form factors, susceptibility anisotropy, and real-space current topology, providing a general framework for identifying loop-current orders and interpreting signatures of time-reversal symmetry breaking in correlated electron materials.
Comments51 pages, 22 figures
