Symmetric Mode Ansatz: Theory of Magnon Collective Modes in Chern Insulators
This research introduces SyMA, a generalized single-mode approximation to describe low-energy magnon excitations in Chern insulators. The method constructs specific wave functions based on symmetry and locality principles, leading to exact analytical solutions for magnon energies. It successfully predicts behavior in both integer and fractional Chern insulators, linking topological invariants to magnetic stability.