  The paraconductivity, originating from critical superconducting
order-parameter fluctuations in the vicinity of the critical temperature in a
layered superconductor is calculated in the frame of the self-consistent
Hartree approximation, for an arbitrarily strong electric field and zero
magnetic field. The paraconductivity diverges less steep towards the critical
temperature in the Hartree approximation than in the Gaussian one and it shows
a distinctly enhanced variation with the electric field. Our results indicate
that high electric fields can be effectively used to suppress order-parameter
fluctuations in high-temperature superconductors.
