We investigate theoretically and experimentally the statistical properties of the
inhomogeneous order-parameter distribution (OPD) at the verge of the superconductor-
insulator transition (SIT). We find within two prototype fermionic and bosonic models for
disordered superconductors that one can identify a universal rescaling of the OPD. By
performing scanning-tunneling microscopy experiments in three samples of NbN with
increasing disorder we show that such a rescaling also describes the experimental data with …

We present scanning tunneling spectroscopy measurements on strongly disordered s-wave
superconductor, NbN, close to Anderson metal insulator transition. At low temperatures all
our samples show superconducting spectra with dip close to zero bias and two coherence
peaks after correcting with large V shaped background. Although spectra do not show
significant variation in the superconducting energy gap but we see large distribution in the
coherence peak heights characteristic to the strength of disorder. We take average value of …