BCS Coherence Factors

Bogoliubov u_k, v_k — quasiparticle dispersion & density of states

Parameters

BCS:
v²_k = ½(1 - ξ_k/E_k)
u²_k = ½(1 + ξ_k/E_k)
E_k = √(ξ²_k + Δ²)

Δ(T) = Δ₀tanh(1.74√(T_c/T-1))

N(E)/N₀ = |E|/√(E²-Δ²)
Diverges at E = ±Δ