My research is focused on the study of theoretical models for materials, which is the starting point for us to understand material properties. I am interested both in topics that are already promising candidates for a new generation of technology, and in phenomena that are not yet demonstrated and have no clear application in real life. For example, the model for herbertsmithite-like lattices have similar features with twisted bilayer graphenes in terms of their band structures, which govern the behavior of particles in materials. The latter has been of great interest since the demonstration of superconductivity in 2018. By studying the behavior of atoms in our optical lattice, we can get insight on e.g. the critical parameters at which the phase transition to superconducting states occurs. On the other hand, there are predictions of novel phases of matters for our lattice model.