  Holographic superconductor is an important arena for holography, as it allows
concrete calculations to further understand the dictionary between bulk physics
and boundary physics. An important quantity of recent interest is the
holographic complexity. Conflicting claims had been made in the literature
concerning the behavior of holographic complexity during phase transition. We
clarify this issue by performing a numerical study on one-dimensional
holographic superconductor. Our investigation shows that holographic complexity
does not behave in the same way as holographic entanglement entropy.
Nevertheless, the universal terms of both quantities are finite and reflect the
phase transition at the same critical temperature.
