Our group conducts theoretical research on the quantum properties of materials with unconventional shapes and structures, such as two-dimensional materials and moiré systems. Research on these materials has rapidly expanded since the beginning of the 21st century, leading to the discovery of a wide variety of novel physical phenomena absent in conventional materials, and has now become one of the frontiers of condensed matter physics. In our group, we aim to establish fundamental theoretical frameworks and propose new physical properties and functionalities by employing effective continuum models based on the microscopic Hamiltonian. In particular, we focus on physical effects originating from the topology and quantum geometry of electronic states, and investigate topological properties and emergent quantum states. We also develop theoretical descriptions beyond the conventional Bloch framework for quasiperiodic materials and systems with new geometric structures. Through close collaboration with experimental groups, we seek to predict and understand new physical phenomena.

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