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Eliashberg theory in the weak-coupling limit: Results on the real frequency axis

Eliashberg theory in the weak-coupling limit: Results on the real frequency axis

We formulate and solve the Eliashberg equations on the imaginary frequency axis at temperatures below ${T}_{c}$ in the weak-coupling limit. We find an excellent scaling at all temperatures, for a fixed coupling strength, and the normalized order parameter exhibits a BCS-like temperature dependence. The hybrid real-imaginary axis equations are also …