  We analytically sutdy the effect of external magnetic field in a Holographic
superconductor by using Sturm-Liouville method. We estimate the coefficient of
proportionality at critical temperature and find its denpendence on external
magnetic field. By exploring phase diagrams of critical temperature and
magnetic field for various condensates, we conclude that a Meissner-like effect
is a general feature in Holographic superconductors. We also study the quantum
phase transition at zero temperature and find that critical charge density
increases linearly with the condensate dimension.
