标题： 分数量子霍尔绝缘体稳定性的复合费米子理论 显示英文标题

标题： Composite Fermion Theory of Fractional Chern Insulator Stability

摘要： 我们基于复合费米子（CFs）的偶极子图像，发展了一种分数陈绝缘体稳定性的平均场理论。 我们通过将涡旋结合到布洛赫电子上来构造CFs，并推导出一个描述在扩展的CF希尔伯特空间中霍夫斯塔特问题的CF单粒子哈密顿量，在小-$q$极限下，众所周知的迹条件自然出现。 应用于扭曲的MoTe$_2$，计算得到的CF相图与精确对角化结果非常吻合，投影的多体波函数与后者具有极高的重叠度。 我们的理论既提供了微观理解，也为识别分数陈绝缘体提供了一个计算效率高的工具。 显示英文摘要

摘要： We develop a mean-field theory of the stability of fractional Chern insulators based on the dipole picture of composite fermions (CFs). We construct CFs by binding vortices to Bloch electrons and derive a CF single-particle Hamiltonian that describes a Hofstadter problem in the enlarged CF Hilbert space, with the well-known trace condition emerging naturally in the small-$q$ limit. Applied to twisted MoTe$_2$, the calculated CF phase diagram matches closely with that from exact diagonalization, and the projected many-body wavefunctions achieve exceptionally high overlaps with the latter. Our theory provides both a microscopic understanding and a computationally efficient tool for identifying fractional Chern insulators.