  We construct a 2+1 dimensional model that sustains superconductivity at all
temperatures. This is achieved by introducing a Chern Simons mixing term
between two Abelian gauge fields A and Z. The superfluid is described by a
complex scalar charged under Z, whereas a sufficiently strong magnetic field of
A forces the superconducting condensate to form at all temperatures. In fact,
at finite temperature, the theory exhibits Berezinsky-Kosterlitz-Thouless phase
transition due to proliferation of topological vortices admitted by our
construction. However, the critical temperature is proportional to the magnetic
field of A, and thus, the phase transition can be postponed to high
temperatures by increasing the strength of the magnetic field. This model can
be a step towards realizing the long sought room temperature superconductivity.
