I will present a unified theory of chiral superconductivity and fractional anomalous Hall effect in twisted MoTe2. Both phases are enabled by an emergent magnetic field that gives rise to flat Chern band, and their competition is controlled by its spatial modulation. I will also briefly discuss related phenomena in rhomhoderal graphene.

The talk is based on the following works:

1. Daniele Guerci, Ahmed Abouelkomsan, and Liang Fu, From Fractionalization to Chiral Topological Superconductivity in a Flat Chern Band, Phys. Rev. Lett. 135, 186601 (2025)

2. Daniele Guerci, Ahmed Abouelkomsan, Liang Fu, Topological superconductivity with emergent vortex lattice in twisted semiconductors, arXiv:2602.15106

3. Filippo Gaggioli, Daniele Guerci, and Liang Fu, Spontaneous Vortex-Antivortex Lattice and Majorana Fermions in Rhombohedral Graphene, Phys. Rev. Lett. 135, 116001 (2025)