AI 中文总结
研究二次能带接触半金属在 2/3 填充下的相互作用 Kagome 晶格，结合泛函重整化群和 slave-boson 方法绘制相图，发现多种非常规电子序，揭示其受多种因素控制，确立该半金属为非常规对称性破缺平台并暗示其他抛物线型半金属有类似现象。
AI 中文摘要
我们研究了在 2/3 填充下具有在位和最近邻排斥相互作用的二次能带接触半金属的相互作用 Kagome 晶格实现。结合泛函重整化群和 slave-boson 方法，我们绘制了从中间耦合到强耦合的相图，发现了非常规电子序的层次结构。主要不稳定性包括环流序、自旋-波默朗丘克不稳定性产生的自发交替磁性以及具有独特且 largely unexplored 性质的自旋环流序。我们展示了能带运动学、电子相互作用和量子几何的相互作用如何控制这些相的选择。我们的发现将二次能带接触半金属确立为非常规对称性破缺的有前途的平台，并暗示了其他抛物线型半金属中的类似现象。
英文摘要
We study an interacting kagome-lattice realization of a quadratic band-touching semimetal at 2/3 filling with onsite and nearest-neighbor repulsive interactions. Combining functional renormalization group and slave-boson approaches, we map its phase diagram from intermediate to strong coupling and uncover a hierarchy of unconventional electronic orders. The leading instabilities comprise loop-current order, spontaneous altermagnetism arising from a spin-Pomeranchuk instability, and spin-loop-current order with distinctive and largely unexplored properties. We demonstrate how the interplay of band kinematics, electronic interactions, and quantum geometry governs the selection of these phases. Our findings establish quadratic band-touching semimetals as a promising platform for unconventional symmetry breaking and suggest analogous phenomena in other parabolic semimetals.
Comments15 pages, 8 figures
