  We study the effect of a resonant frequency disorder on the eigenstates and
the transport of magnetic energy in a two-dimensional (square) array of
split-ring resonators (SRRs). In the absence of disorder, we find the
dispersion relation of magneto-inductive waves and the mean square displacement
(MSD) in closed form, showing that at long times the MSD is ballistic. When
disorder is present, we consider two types: the usual Anderson distribution
(uncorrelated monomers) and $2 \times 2$ units assigned at random to lattice
sites (correlated tetramers). This is a direct extension to two dimensions of
the one-dimensional random dimer model (RDM). For the uncorrelated case, we see
saturation of the MSD for all disorder widths, while for the correlated case we
find a disorder window, inside which the MSD does not saturate at long times,
with an asymptotic sub-diffusive behavior $MSD\sim t^{0.26}$. Outside this
disorder window, the MSD shows the same kind of saturation as in the monomer
case. We conjecture that the sub-diffusive behavior is a remanent of a weak
resonant transmission of a 2D plane wave across a tetramer unit.
