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We study the p-wave holographic superconductor for AdS black holes withplanar event horizon topology for a particular Lovelock gravity, in which theaction is characterized by a self-interacting scalar field nonminimally coupledto the gravity theory which is labeled by an integer $k$. As the Lovelocktheory of gravity is the most general metric theory of gravity based on thefundamental assumptions of general relativity, it is a desirable theory todescribe the higher dimensional spacetime geometry. The present work is devotedto studying the properties of the p-wave holographic superconductor byincluding a Maxwell field which nonminimally couples to a complex vector fieldin a higher dimensional background metric. In the probe limit, we find that thecritical temperature decreases with the increase of the index $k$ of thebackground black hole metric, which shows that a larger $k$ makes it harder forthe condensation to form. We also observe that the index $k$ affects theconductivity and the gap frequency of the holographic superconductors.

A Maxwell-vector p-wave holographic superconductor in a particular background AdS black hole metric