  Three phases of macroscopic domains have been seen for large but finite
periodic dimer models; these are known as the frozen, rough and smooth phases.
The transition region between the frozen and rough region has received a lot of
attention for the last twenty years and recently work has been underway to
understand the rough-smooth transition region in the case of the two-periodic
Aztec diamond. We compute uniform asymptotics for dimer-dimer correlations of
the two-periodic Aztec diamond when the dimers lie in the rough-smooth
transition region. These asymptotics rely on a formula found in [5] for the
inverse Kasteleyn matrix, they also apply to a related infinite dimer model.
