  We analytically study the phase transitions between s-wave holographic
insulator/superconductor and metal/superconductor. The problem is solved by the
variational method for the Sturm-Liouville eigenvalue problem in the theory
with dark matter sector of U(1)-gauge field coupled to the Maxwell field.
Additionally in the probe limit we investigate the marginally stable modes of
scalar perturbations in the AdS solitonic background, connected with magnetic
field in the dark matter sector. We have found that even with dark matter
sector the superconducting transition temperature $T_c$ is proportional to
charge density $\rho$ in power 1/3. This value seem to be strong coupling
modification of the exponent 2/3 known from the Bose - Einstein condensation of
charged local pair bosons in narrow band superconductors. The holographic
droplet solution is affected by the coupling to the dark matter. Interestingly
in the probe limit the critical chemical potential increases with the
decreasing coupling to dark matter making the condensation transition harder to
appear.
