  We study the effect of the Weyl corrections on the holographic p-wave dual
models in the backgrounds of AdS soliton and AdS black hole via a Maxwell
complex vector field model by using the numerical and analytical methods. We
find that, in the soliton background, the Weyl corrections do not influence the
properties of the holographic p-wave insulator/superconductor phase transition,
which is different from that of the Yang-Mills theory. However, in the black
hole background, we observe that similar to the Weyl correction effects in the
Yang-Mills theory, the higher Weyl corrections make it easier for the p-wave
metal/superconductor phase transition to be triggered, which shows that these
two p-wave models with Weyl corrections share some similar features for the
condensation of the vector operator.
