  Momentum relaxation can be built into many holographic models without
sacrificing homogeneity of the bulk solution. In this paper we study two such
models: one in which translational invariance is broken in the dual theory by
spatially-dependent sources for massless scalar fields and another that
features an additional neutral scalar field. We turn on a charged scalar field
in order to explore the condensation of a charged scalar operator in the dual
theories. After demonstrating that the relaxed superconductors we construct are
thermodynamically relevant, we find that the finite DC electrical conductivity
of the normal phase is replaced by a superfluid pole in the broken phase.
Moreover, when the normal phase possesses a Drude behaviour at low frequencies,
the optical conductivity of the broken phase at low frequencies can be
described by a two-fluid model that is a sum of a Drude peak and a superfluid
pole, as was found recently for inhomogeneous holographic superconductors. We
also study cases in which this low-frequency behavior does not hold. We find
that the Drude description is accurate when the retarded current-current
correlator has a purely-dissipative pole that is well-separated from the rest
of the excitations.
