Understanding various interactions among charge, spin, and lattice in multiferroics implies endless possibilities for material engineering. And such interactions may result in various alternative multiferroic phases that have different spin-charge-lattice combinations and thus distinct dielectric properties that can be controllable by electric field. I will talk about how to design multi-level dielectrics (memcapacitors) from the alternative phases for developing neuromorphic computations with ultralow energy consumption. And some recent experiments verying our theoretical predictions will be introduced. I will highlight the importance of first-principles design and collaboration with experiments to reveal the novel phases with multiple dielectric constants for the next-generation neuromorphic computation.