  2+1 dimensional massless scalar QED with $(\phi^*\phi)^3$ scalar
self-coupling is modified by the addition of a non- minimal Chern-Simons term
that couples the dual of the electromagnetic field strength to the covariant
current of the complex scalar field. The theory is shown to be fully one- loop
renormalizable. The one loop effective potential for the scalar field gives
rise to spontaneous symmetry breaking which induces masses for both the scalar
and vector fields. At high temperature there is a symmetry restoring phase
transition.
