Enhanced amplitude for superconductivity due to spectrum-wide wave function criticality in quasiperiodic and power-law random hopping models

The shape of electron wave functions determines key properties of quantum materials. Very recently, it was found that disorder can turn all wave functions into fractals (``spectrum-wide quantum criticality,'' SWQC) in models of topological and strongly correlated superconductors. The implications of SWQC for superconductivity itself remain largely unexplored. Here, the authors show that superconductivity can be strongly enhanced near the SWQC Anderson transition in two one-dimensional models. The study highlights a new potential mechanism for achieving higher transition temperatures via random or structured inhomogeneity.