SPICE Workshop on Quantum materials and quantum information science May 19th - 21st, 2026
Youichi Yanase
Quantum geometry is a fundamental concept in solid-state systems, and its application to the study of quantum condensation phenomena has recently attracted growing attention. I will present unconventional superconductivity uncovered by leveraging quantum geometry. Topological spin-triplet superconductivity [1] and mixed-parity anapole superconductivity [2] will be discussed. We derive scaling laws for the superfluid weight of quantum-geometric origin, which enable us to narrow down the symmetry of superconductivity in twisted bilayer and trilayer graphene [3]. These results demonstrate that quantum geometry provides a useful framework for designing and characterizing unconventional superconductivity.
[1] T. Kitamura, A. Daido, Y. Yanase, Phys. Rev. Lett. 132, 036001 (2024).[2] T. Kitamura, S. Kanasugi, M. Chazono, Y. Yanase, Phys. Rev. B 107, 214513 (2023).
[3] Y. Hirobe, T. Kitamura, Y. Yanase, arXiv:2505.13065.