Supercurrent in a p-wave holographic superconductor

The p-wave and p + ip-wave holographic superconductors with fixed DC supercurrent are studied by introducing a nonvanishing vector potential. We find that close to the critical temperature T-c of zero current, the numerical results of both the p-wave model and the p + ip model are the same as those of Ginzburg-Landau (GL) theory; for example, the critical current is j(c) similar to(T-c - T)(3/2) and the phase transition in the presence of a DC current is a first-order transition. Beside the similar results between both models, the p + ip superconductor shows isotropic behavior for the supercurrent, while the p-wave superconductor shows anisotropic behavior for the supercurrent.