Fig. 4
Ginzburg–Landau random Tc model. a Map of a spatially random Tc on a 40 × 40 square lattice, with the lattice constant set to 1. The dark and light colors correspond to Pb and SIC regions, respectively. The Pb coverage is equal to 61%. The map is generated with a 2D Gaussian random field with correlation length l = 1. b Norm of the wavefunction belonging to the lowest eigenvalue of the linearized Ginzburg–Landau equation on the same lattice at zero magnetic field for \(\xi _0\) = 1/3. c Dependence of \(\xi ^{ - 2}\) \(\left( { \propto T_{{\mathrm{c}}0} - T_{\mathrm{c}}} \right)\), on ℓ-2/2 \(\left( { \propto H_ \bot } \right)\). Note 2ℓ2 is the variance of the zeroth Landau level wavefunction which is Gaussian. The vertical line indicates the point when 2ℓ2 is equal to \(\zeta ^2\), \(\zeta\) being the localization length. \(\zeta\) is obtained by fitting (b) with a 2D Gaussian function and taking the fourth root of the determinant of the covariance matrix
