  We report on a new source of in-plane anisotropy in nanomagnets due to the
presence of Dzyaloshinskii-Moriya interaction (DMI). This anisotropy depends on
the shape of the magnet, and is orthogonal to the demagnetization shape
anisotropy. This effect originates from the DMI energy reduction due to an
out-of-plane tilt of the spins at edges oriented perpendicular to the
magnetization. Our investigation combining experimental, numerical and
analytical results demonstrate that this energy reduction can compensate the
demagnetization shape anisotropy energy in magnets of elongated shape, provided
that their volumes is small enough and thus that their magnetization is
quasi-uniform.
