  The Typical Medium Theory provides conceptually the simplest order parameter
description of Anderson localization by self-consistently calculating the
geometrically-averaged (typical) local density of states (LDOS). Here we show
how spatial correlations can also be captured within such a self-consistent
theory, by utilizing the standard Landau method of allowing for (slow) spatial
fluctuations of the order parameter, and performing an appropriate gradient
expansion. Our theoretical results provide insight into recent STM experiments,
which were used to visualize the spatially fluctuating electronic wave
functions near the metal insulator transition in $Ga_{1-x}Mn_{x}As.$ We show
that, within our theory, all features of the experiment can be accounted for by
considering a model of disorder renormalized by long-range Coulomb
interactions. This includes the pseudogap formation, the $C(R)\sim\frac{1}{R}$
form of the LDOS autocorrelations function, and the $\zeta\sim\frac{1}{E}$
energy dependence of the correlation length at criticality.
