Quantum geometric effects in disordered superconductors

The interplay between disorder and superconductivity can lead to various unconventional phenomena, including the emergence of subgap states. Here, we investigate the nature of electronic states in superconductors with spatially disordered order parameters, focusing on their localization properties and collective behavior. By exploring the role of quantum geometry in these systems, we uncover novel mechanisms that can modify the low-energy properties of conventional superconductors. Our analysis reveals how geometric effects can fundamentally alter the nature of the superconducting state in the presence of disorder, pointing to new pathways for realizing unconventional superconducting phases in seemingly conventional systems.