  We consider the phase transition in a model which consists of a
Ginzburg-Landau free energy for superconductors including a Chern-Simons term.
The mean field theory of Halperin, Lubensky and Ma [Phys. Rev. Lett. 32, 292
(1974)] is applied for this model. It is found that the topological mass,
$\theta$, drives the system into different regimes of phase transition. For
instance, there is a $\theta_{c}$ such that for $\theta<\theta_{c}$ a
fluctuation induced first order phase transition occurs. On the other hand, for
$\theta>\theta_{c}$ only the second order phase transition exists. The 1-loop
renormalization group analysis gives further insight to this picture. The fixed
point structure exhibits tricritical and second order fixed points.
