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We build a holographic superconductor model with a scalar triplet chargedunder an SU(2) gauge field in the bulk. In this model, the s-wave and p-wavecondensates can be consistently realized. We find that there are totally fourphases in this model, namely, the normal phase without any condensate, s-wavephase, p-wave phase and the s+p coexisting phase. By calculating Gibbs freeenergy, the s+p coexisting phase turns out to be thermodynamically favored onceit can appear. The phase diagram with the dimension of the scalar operator andtemperature is drawn. The temperature range for the s+p coexisting phase isvery narrow, which shows the competition between the s-wave and p-wave ordersin the superconductor model.

Competition between the s-wave and p-wave superconductivity phases in a holographic model