  Chiral phase transition in (2+1)-dimensional quantum electrodynamics
(QED$_3$) at finite temperature is investigated in the framework of truncated
Dyson-Schwinger equations (DSEs). We go beyond the widely used instantaneous
approximation and adopt a method that retains the full frequency dependence of
the fermion self-energy. We also take further step to include the effects of
wave-function renormalizations and introduce a minimal dressing of the bare
vertex. Finally, with the more complete solutions of the truncated DSEs, we
revisit the study of chiral phase transition in finite-temperature QED$_3$.
