Abstract: Perovskite transition-metal oxides have many degrees of freedom (e.g., lattice, charge, spin, and orbital). The couplings and competitions among these degrees of freedom can lead to numerous novel phenomena, such as high-temperature superconductivity, colossal magnetoresistance, and multiferroicity, which play important roles in the development of quantum devices. Interestingly, if two different materials are further coupled with each other, richer physical phenomena and more controllable performance will be presented through the interfacial lattice and electronic reconstructions. This review mainly focuses on the physical properties of perovskite superlattices, including magnetism, ferroelectricity and magnetoelectric coupling. First, several physical mechanisms associated with magnetic regulation are introduced. Then, hybrid improper ferroelectricity and electronic ferroelectricity are discussed. Finally, magnetoelectric coupling in perovskite superlattices is studied and reviewed.

Key words: perovskite superlattices; magnetism; ferroelectricity; magnetoelectric coupling