  We perform realistic first-principles calculations of iron chalcogenides and
ruthenate based materials to identify experimental signatures of Hund's
coupling induced correlations in these systems. We find that FeTe and
K$_x$Fe$_{2-y}$Se$_2$ display unusual orbital dependent fractional powerlaw
behavior in their quasiparticle self energy and optical conductivity, a
phenomena first identified in SrRuO$_3$. Strong incoherence in the paramagnetic
state of these materials results in electronic states hidden to angle-resolved
photoemission spectroscopy which reemerge at low temperatures. We identify the
effective low energy Hamiltonian describing these systems and show that these
anomalies are not controlled by the proximity to a quantum critical point but
result from coexistence of fast quantum mechanical orbital fluctuations and
slow spin fluctuations.
