  We investigate holographic phase transitions affected by dark matter sector
in the AdS soliton background away from the probe limit. When neglecting
backreaction, the scalar charge q can be scaled unity without loss of
generality. While considering backreaction in this work, we obtain much more
richer physics by choosing various scalar charge q. Firstly, we observe
unstable retrograde condensation appears due to the dark matter sector and also
derive stable conditions. For stable solutions, we find that the larger
coupling parameter $\alpha$ makes the gap of condensation shallower and the
critical chemical potential keeps as a constant with a large scalar charge q,
which is similar to cases in the probe limit. In contrast, the dark matter
sector could affect the critical chemical potential and the order of phase
transitions for very small charge q. We also arrive at the same conclusion from
the holographic topological entanglement entropy approach. Moreover, we state
that the entanglement entropy approach is especially powerful in studying the
effects of the dark matter sector in this general insulator/superconductor
system.
