Intermediate phase was first experimentally observed by our research group in 2019, representing an intermediate phase between crystalline and amorphous states. In the 1940s to 1960s, several renowned researchers theoretically speculated on the existence of such states, including the well-known crystallographer B.E. Warren from MIT, who proposed the 'random layer lattice,' and J. Mering from the French Academy of Sciences, who proposed the 'disordered lamellar structure.' According to renowned crystallographer Alan Mackey, different dimensions of disorder can be constructed in four-dimensional spacetime, with quasicrystals being a form of disorder in time-dimension. Similarly, disorder can also be introduced into the other three spatial dimensions. The characteristic of the lattice in intermediate phase materials is three-dimensional disorder but two-dimensional order, which represents a material with disorder in one spatial dimension. Through further development, our research group became the first in the world to develop a series of intermediate phase materials with different structural properties. We systematically elucidated the structure, formation mechanisms, characterization methods, and potential applications of these materials, opening up new perspectives for understanding the boundary between crystalline and amorphous phases, solid-liquid boundaries, and the structure of solid materials.