  Instanton-dyons are topological solitons -- solutions of Yang-Mills equations
-- which appear at non-trivial expectation value of $A_0$ at nonzero
temperatures. Using the ensembles of those, generated in our previous work, for
2-color and 2-flavor QCD, below and above the deconfinement-chiral phase
transition, we study the correlations between them, as well as fluctuations of
several global charges in the sub-volumes of the total volume. The determined
correlation lengths are the finite-$T$ extension of hadronic masses, such as
that of $\eta'$ meson.
