text: F (ω, ~k) = 
  Z 2 
  k,ω(ω2 − ∆2 
  
  + iδsgn(ω) 
  (9c) 
  
  We will ﬁrst use Eq 3 and compute WK in NS and SCS. 
  This will tell us about the magnitude of ∆W (ωc = ∞). 
  We next compute the conductivity σ(ω) using the equa- 
  tions listed above, ﬁnd W (ωc) and ∆W (ωc) and compare 
  ∆f (ωc) and ∆WK. 
  
  where Zk,ω = 1 − Σ(k,ω) 
  , and ∆k,ω, is the SC gap. Fol- 
  lowing earlier works31,33, we assume that the fermionic 
  self-energy Σ(k, ω) predominantly depends on frequency 
  and approximate Σ(k, ω) ≈ Σ(ω) and also neglect the 
  frequency dependence of the gap, i.e., approximate ∆k,ω 
  by a d−wave ∆k. The lattice dispersion ε~k is taken from 
  Ref. 38. To calculate WK , one has to evaluate the Kubo 
  term in Eq.3 wherein the distribution function n~k, is cal- 
  culated from 