  In this paper, we study peculiar properties of p-wave superconductors in
dilaton gravity. The scale invariance of the bulk geometry is effectively
broken due to the existence of dilaton. By coupling the dilaton to the
non-Abelian gauge field, i.e., $-\frac14 e^{-\beta \Phi}
F^a_{\mu\nu}F^{a\mu\nu}$, we find that the dissipative conductivity of the
normal phase decreases and approaches zero at the zero frequency as $\beta$
increases. Intuitively, the system behaves more and more like an insulator.
When the hairy solution is turned on, the system crosses a critical point to
the superconducting phase. We find that the critical chemical potential
decreases with the increasing of $\beta$ and the maximum height of the
conductivity is suppressed gradually which are consistent with our intuition
for insulator/supercondutor transition.
