Low-temperature scaling of quantum-geometric superfluid stiffness

Author: Hirobe, Yuma

Affiliation: Kyoto University

Type: Poster

Display Dates: 22.07.2026 - 23.07.2026

Board: WT-069

Superfluid stiffness is a fundamental probe of superconducting order, since its low-temperature behavior reflects the nodal structure and symmetry of the gap function. In flat-band superconductors, however, the conventional picture based on band dispersion is insufficient, and the superfluid response can be strongly influenced by the geometry of Bloch wave functions. In this presentation, I discuss low-temperature scaling laws for the quantum-geometric contribution to the superfluid stiffness and show how its temperature dependence is related to superconducting symmetry and the underlying band structure. After outlining the general theoretical framework, I present numerical results for the modified Lieb lattice and discuss their implications for twisted graphene superconductors, where quantum geometry is expected to play an essential role. These results suggest that low-temperature superfluid response provides a useful route to diagnosing unconventional pairing in flat-band systems. I also discuss low-temperature scaling laws for the current dependence of the quantum-geometric superfluid stiffness.