  In antiferromagnetic (AFM) thin films, broken inversion symmetry or coupling
to adjacent heavy metals can induce Dzyaloshinskii-Moriya (DM) interactions.
Knowledge of the DM parameters is essential for understanding and designing
exotic spin structures, such as hedgehog Skyrmions and chiral N\'eel walls,
which are attractive for use in novel information storage technologies. We
introduce a framework for computing the DM interaction in two-dimensional
Rashba antiferromagnets. Unlike in Rashba ferromagnets, the DM interaction is
not suppressed even at low temperatures. The material parameters control both
the strength and the sign of the interfacial DM interaction. Our results
suggest a route toward controlling the DM interaction in AFM materials by means
of doping and electric fields.
