text: In Fig 10 we plot the conductivities in the NS and the 
  SCS and Kubo sums WK vs Γ at α = 0.75 showing that 
  the spectral weight in the SCS is indeed larger than in the 
  NS. In Fig 11 we show the behavior of the optical sums 
  W (ωc) in NS and SCS. The observation here is that only 
  ∼ 75−80% of the Kubo sum is recovered up to the scale of 
  the bandwidth implying that there is indeed a signiﬁcant 
  spectral weight well beyond the bandwidth. And in Fig 
  12 we show the behavior of ∆W (wc). We see that it does 
  not change sign and remain positive at all ωc, very much 
  unlike the BCS case. Comparing the behavior of W (wc) 
  with and without a lattice (solid and dashed lines in Fig. 
  12) we see that the ‘ﬁnite bandwidth eﬀect’ just shifts the 
  curve in the positive direction. We also see that the solid 
  line ﬂattens above roughly half of the bandwidth, i.e., at 
  these frequencies ∆W (ωc) ≈ ∆WK. Still, we found that 
  ∆W continues going down even above the bandwidth 
  and truly saturates only at about 2 eV (not shown in the 
  ﬁgure) supporting the idea that there is ‘more’ left to 
  recover from higher frequencies. 