  We study direct currents in a simple holographic realization of a
superconducting film. We investigate how the presence of a DC current affects
the superconducting phase transition, which becomes first order for any
non-vanishing value of the current, as well as several other properties of the
superconductor such as the AC conductivity. Near the critical temperature we
find a quantitative agreement with several properties of Ginzburg-Landau
superconducting films, for example the squared ratio of the maximal and minimal
condensate is equal to two thirds. We also comment on the extension of our
construction to holographic Josephson junctions.
