text: little variation of ∆W (ωc) at above 0.1 − 0.3eV what 
  implies that for larger ωc, ∆W (ωc) ≈ ∆WK >> ∆f (ωc). 
  To make this more quantitative, we compare in Fig. 6 
  ∆W (ωc) obtained for a constant DOS, when ∆W (ωc) = 
  lattice dispersion, when 
  ∆f (ωc), and for the actual 
  ∆W (ωc) = ∆WK + ∆f (ωc). 
  In the clean limit there 
  is obviously little cutoﬀ dependence beyond 0.1eV , i.e., 
  ∆f (ωc) is truly small, and the diﬀerence between the 
  two cases is just ∆WK . In the dirty limit, the situation 
  is similar, but there is obviously more variation with ωc, 
  and ∆f (ωc) becomes truly small only above 0.3eV . Note 
  also that the position of the dip in ∆W (ωc) in the clean 
  limit is at a larger ωc in the presence of the lattice than 
  in a continuum. 