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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 7 meV. As the magnon gap is directly tied to the stability of the magneticphase to thermal fluctuations, our findings have several important experimentalimplications.

Topological magnets and magnons in twisted bilayer MoTe$_2$ and WSe$_2$