text: FIG. 22: Top – conductivity at a larger value of ωsf λ (ωsf = 
  26 meV ,λ = 7) consistent with the one used in Ref.33). Bot- 
  tom – ∆W with and without lattice. Observe that the fre- 
  quency of zero crossing of ∆W enhances compared to the case 
  of a smaller λωsf and becomes comparable to the bandwidth. 
  At energies smaller than the bandwidth, ∆W > 0, as in the 
  Norman- P´epin model. 
  
  0 
  
  FIG. 21: Distribution functions n(ǫ) for CB model for λ = 1 
  and λ = 7 and a constant ωsf = 26 meV . We set ∆ = 30meV . 
  For smaller λ (top), quasiparticles near the FS are well deﬁned 
  as indicated by the well pronounced jump in n(ǫ). For λ = 7, 
  n(ǫ) is rather smooth implying that a coherence is almost lost. 
  Some irregularities is the SCS distribution function are due 
  to ﬁnite sampling in the frequency domain. The irregularities 
  disappear when ﬁner mesh for frequencies is chosen. 
  V 
  e 
  m 
  n 
  λ=10 
  λ=1 
  
  30 
  i 
  E 
  K 
  δ 
  
  10 
  
  0  2  4  6 
  Self Energy prefactor 