Most heterostructures are realized using materials within the same structural families, such as compound semiconductors, perovskite oxides, and more recently van der Waals heterostructures. [1][2][3][4] These conventional heterostructures have their advantages in the epitaxial matching of lattices with minimized structural defects. [5,6] They are also easy to apply and control the homogeneous epitaxial strain. Nevertheless, heterostructures with structurally distinct layers can also be conceived. If the interface between the dissimilar layers can be well defined, the heterostructure is equally feasible as the conventional heterostructures composed of the same structural families. This vastly expands the possibilities and potential of the heterostructures vastly as the combination of the materials is now multidimensional. Since the discovery of 2D layered materials (2DLM), including graphene, numerous studies have focused on their behavior on different substrates. Ideally, freestanding 2DLM is theoretically plausible, but they are rather difficult to achieve experimentally. In particular, homogeneous control of strain is rather challenging for freestanding 2D layers. Therefore, the choice of the substrate materials for the 2DLMs is of prime importance in discovering, studying, and utilizing novel properties. While Si-based semiconductor materials or simple metals such as Cu or Au have predominantly been utilized as the substrates for 2DLMs, [7,8] design of more exciting properties is achieved by adopting functional materials. When a 2DLM is fabricated on top of a substrate material, a heterostructure composed of two distinct materials is naturally achieved.Complex transition metal oxides (TMOs), or so-called functional oxides, foster a variety of exotic electrical and magnetic behaviors, including superconductivity, colossal magnetoresistance, 2D electron liquid, and multiferroicity. [9][10][11][12][13] The strongly correlated electronic nature originates from the strong polarizability of O ions in the interatomic scale, resulting in the versatile properties depending on the kind of transition metal element. With the recent advancement of atomic-scale epitaxy, an atomistic layer design of the physical properties of the TMOs is plausible, extending their potential with regard to "oxide electronics."In terms of the heterostructures, oxides have long served as the "gate dielectric layer" within conventional semiconductor technology. Considerable effort is directed toward the The marriage between a 2D layered material (2DLM) and a complex transition metal oxide (TMO) results in a variety of physical and chemical phenomena that cannot be achieved in either material alone. Interesting recent discoveries in systems such as graphene/SrTiO 3 , graphene/LaAlO 3 /SrTiO 3 , graphene/ferroelectric oxide, MoS 2 /SrTiO 3 , and FeSe/SrTiO 3 heterostructures include voltage scaling in field-effect transistors, charge state coupling across an interface, quantum conductance probing of the electrochemical activity, novel memory funct...