  We study the behaviors of entanglement entropy and vacuum expectation value
of Wilson loop in the St\"{u}ckelberg holographic insulator/superconductor
model. This model has rich phase structures depending on model parameters. Both
the entanglement entropy for a strip geometry and the heavy quark potential
from the Wilson loop show that there exists a "confinement/deconfinement" phase
transition. In addition, we find that the non-monotonic behavior of the
entanglement entropy with respect to chemical potential is universal in this
model. The pseudo potential from the spatial Wilson loop also has a similar
non-monotonic behavior. It turns out that the entanglement entropy and Wilson
loop are good probes to study the properties of the holographic superconductor
phase transition.
