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Twisted homobilayer transition metal dichalcogenide (TMD) offers a versatileplatform for exploring band topology, interaction-driven phases, and magneticorders. We study the interaction-driven phases in twisted TMD homobilayers andtheir low-energy collective excitations, focusing on the effect of bandtopology on magnetism and its thermal stability. From Hartree-Fock theory ofthe continuum model, we identify several magnetic and topological phases. Bytuning the displacement field, we find two phase transitions involving a changein topology and magnetism respectively. We analyze the magnon spectrum,revealing the crucial role of band topology in stabilizing 2D ferromagnetism byamplifying easy-axis magnetic anisotropy, resulting in a large magnon gap of upto 7meV. As the magnon gap is directly tied to the stability of the magneticphase to thermal fluctuations, our findings have several important experimentalimplications.

Diverse magnetic orders and quantum anomalous Hall effect in twisted bilayer MoTe2 and WSe2