I have been studying about theory of superconductivity. Especially, I have focused on the topic like tunneling effect, Josephson effect and proximity effect, where phase of the superconducting pair potential plays an important role. I have revealed the origin of the zero bias conductance peak in high Tc cuprate is the Andreev bound state. At the same time, I have been studying about microscopic theory of mechanism of unconventional superconductors. Based on these backgrounds, I have clarified recently that odd-frequency pairing is one of the important new direction in the field of condensed matter physics. Besides these topics, I am interested in non-centrosymmetric superconductors and topological insulators.

In this project, we want to study spin-triplet superconductors and non-centrosymmetric superconductors where topological edge state is generated. We want to clarify new quantum phenomena relevant to odd-frequency pairing and Majorana fermions. At the sametime, we would like to reveal new features of topological insulator. We hope the physics of topological quantum phenomena is activated thanks to this project.