  Based on the analytical technique the effect of the static magnetic field on
the s-wave holographic superconductor with dark matter sector of U(1)-gauge
field type coupled to the Maxwell field has been examined. In the probe limit,
we obtained the mean value of the condensation operator. The nature of the
condensate in an external magnetic field as well as the behaviour of the
critical field close to the transition temperature has been revealed. The
obtained upturn of the critical field curves as a function of temperature, both
in four and five spacetime dimensions, is a fingerprint of the strong coupling
approach.
