  The Dzyaloshinskii-Moriya interaction (DMI) is at the heart of many modern
developments in the research field of spintronics. DMI is known to generate
noncollinear magnetic textures, and can take two forms in antiferromagnets:
homogeneous or inter-sublattice, leading to small, canted moments and
inhomogeneous or intra-sublattice, leading to formation of chiral structures.
In this work, we first determine the strength of the effective field created by
the DMI, using SQUID based magnetometry and transport measurements, in thin
films of the antiferromagnetic iron oxide hematite, $\alpha$-Fe$_2$O$_3$. We
demonstrate that DMI additionally introduces reconfigurability in the long
distance magnon transport in these films under different orientations of a
magnetic field. This arises as a hysteresis centred around the easy-axis
direction for an external field rotated in opposing directions whose width
decreases with increasing magnetic field as the Zeeman energy competes with the
effective field created by the DMI.
