  In this letter, we address the impact of the electric field on
superconductors which are insulators in the normal state, superconducting
semiconductors at low carrier concentration and ultracold gas of fermions in
the strongly interacting regime. The electric field penetrates these systems
and affects on the Cooper pairs. We show that if there are Cooper pairs above
the superconductor critical temperature the electric field forces the Cooper
pairs to Bose condensate and the onset of the superconductivity, thereby
increasing the critical temperature. To study this phenomenon we numerically
solve the Maxwell equations for s-wave superconductors obtained from the
time-dependent Ginsburg-Landau theory. Our investigation paves a new
experimental way for verification of the pairing of fermions preceding
superconductivity and superfluidity.
