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Abstract
The collective modes of charged, gapless superconductors are discussed within the framework of the Gor'kov-Eliashberg theory, and the dynamical pair-field susceptibility is calculated. The effect of the charge is to replace the characteristic oscillations (fourth sound) associated with the uncharged system by a diffusive behavior qualitatively similar to that predicted by time-dependent Ginzburg-Landau theory. For sufficiently small pair breaking, ρ≲10−3, and sufficiently close toT c, (Tc−T)/Tc≲4×10−6, a new oscillating mode appears, with ω ∝ (T c−T)1/3 q 4/3, in both charged and uncharged systems.
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