Fig. 2: Local density of states spatial correlation functions.
From: Anderson transition symmetries at the band-edge of a correlated Sn/Si monolayer
a Iso-energy radial correlation functions C(E, R) of dI/dV maps at fixed energy. The x-axis denotes the energy of the maps and the y-axis the log of distance. The inset represents the same data but with a linear R axis. The black dashed line is a power law \(| E-{E}_{{{\rm{c}}}}{| }^{-{\nu }_{{{\rm{app}}}}}\) with Ec = −0.65 eV and νapp = 0.75. b Radial correlations as a function of energy, with E ranging from -0.8 eV to -0.45 eV. The black and red lines follow power laws of exponents −0.03 and −0.05. The color bar accounts for the energy of the LDOS map. c Power law exponent of C(E, R) fits as a function of energy plotted along with the fractal scaling exponent Δ2 measured by multifractal analysis. The inset shows multifractal spectra taken at all energies (zooming on the region where f(α) ~2). The color codes for energy as on the main plot. This panel shows that the exponent of correlation functions fitted from panel b perfectly corresponds to fractal exponent Δ2, as predicted by theory7.
