Multiple moiré polarization textures in twisted trilayers

Twisted van der Waals layers exhibit nontrivial polarization textures from moiré-modulated stacking and the inherited sliding ferroelectricity. However, in any twisted bilayer, the topology of polarization texture is essentially fixed due to the inherent twist-stacking landscape for a given material. Here, this constraint is overcome in some twisted trilayers, where the relative moiré phase emerges as an additional structural degree of freedom. Using CrI₃ and BN as representative sliding ferroelectrics with distinct symmetries, it is clarified how the relative moiré phases reshape the trilayer stacking landscapes and tune the net polarization texture by layer sliding. The multiple moiré polarization textures can be attributed to the interference of original moiré patterns of the two bilayer subsystems.