  We continue our study of holographic transport in the presence of a
background lattice. We recently found evidence that the presence of a lattice
induces a new intermediate scaling regime in asymptotically $AdS_4$ spacetimes.
This manifests itself in the optical conductivity which exhibits a robust
power-law dependence on frequency, $\sigma \sim \omega^{-2/3}$, in a
"mid-infrared" regime, a result which is in striking agreement with experiments
on the cuprates. Here we provide further evidence for the existence of this
intermediate scaling regime. We demonstrate similar scaling in the
thermoelectric conductivity, find analogous scalings in asymptotically $AdS_5$
spacetimes, and show that we get the same results with an ionic lattice.
