  The Casimir effect for parallel plates satisfying the Dirichlet boundary
condition in the context of effective QED coming from a six-dimensional
Nielsen-Olesen vortex solution of the Abelian Higgs model with fermions coupled
to gravity is studied at finite temperature. We find that the sign of the
Casimir energy remains negative under the thermal influence. It is also shown
that the Casimir force between plates will be weaker in the higher-temperature
surroundings while keeps attractive. This Casimir effect involving the thermal
influence is still inconsistent with the known experiments. We find that the
thermal correction can not compensate or even reduce the modification from this
kind of vortex model to make the Casimir force to be in less conflict with the
measurements.
