Anomalous Temperature Dependence of Quantum-Geometric Superfluid Weight

Abstract: The symmetry of Cooper pairs encodes key information about superconductivity and has been widely studied through the temperature dependence of the superfluid weight. However, in systems dominated by quantum geometry, conventional theories miss its essential properties. We study the temperature dependence of the quantum-geometric superfluid weight and classify the relationship to the superconducting symmetry and band structures. The obtained power laws are different from conventional behavior, and unconventional superconductivity in twisted multilayer graphene is discussed. Our findings provide insights into the superconducting symmetry and the pairing mechanism via quantum geometry.