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We show that interlayer charge transfer in 2D materials can be driven by anin-plane electric field, giving rise to electrical multipole generation inlinear and second order of in-plane field. The linear and nonlinear effectshave quantum geometric origins in the Berry curvature and quantum metricrespectively, defined in extended parameter spaces characteristic of layeredmaterials. We elucidate their symmetry characters, and demonstrate sizabledipole and quadrupole polarizations respectively in twisted bilayers andtrilayers of transition metal dichalcogenides. Furthermore, we show that theeffect is strongly enhanced during the topological phase transition tuned byinterlayer translation. The effects point to a new electric control on layerquantum degree of freedom.

Interlayer electric multipoles induced by in-plane field from quantum geometric origins