  The holographic superconductor is the holographic dual of superconductivity,
but there is no Meissner effect in the standard holographic superconductor.
This is because the boundary Maxwell field is added as an external source and
is not dynamical. We show the Meissner effect analytically by imposing the
semiclassical Maxwell equation on the AdS boundary. Unlike in the
Ginzburg-Landau (GL) theory, the extreme Type I limit cannot be reached even in
the $e\to\infty$ limit where $e$ is the $U(1)$ coupling of the boundary Maxwell
field. This is due to the bound current which is present even in the pure bulk
Maxwell theory. In the bulk 5-dimensional case, the GL parameter and the dual
GL theory are obtained analytically for the order parameter of scaling
dimension 2.
