Electrically Tunable Flat Bands and Magnetism in Twisted Bilayer Graphene

Twisted graphene bilayers provide a versatile platform to engineer metamaterials with novel emergent properties by exploiting the resulting geometric moir\'e superlattice. Such superlattices are known to host bulk valley currents at tiny angles (α≈0.3^∘) and flat bands at magic angles (α≈1^∘). We show that tuning the twist angle to α*≈0.8^∘ generates flat bands away from charge neutrality with a triangular superlattice periodicity. When doped with ±6 electrons per moir\'e cell, these bands are half-filled and electronic interactions produce a symmetry-broken ground state (Stoner instability) with spin-polarized regions that order ferromagnetically. Application of an interlayer electric field breaks inversion symmetry and introduces valley-dependent dispersion that quenches the magnetic order. With these results, we propose a solid-state platform that realizes electrically tunable strong correlations.