  One of the major strategies to control magnetism in spintronics is to utilize
the coupling between electron spin and its orbital motion. The Rashba and
Dresselhaus spin-orbit couplings induce magnetic textures of band electrons
called spin momentum locking, which produces a spin torque by the injection of
electric current. However, joule heating had been a bottleneck for device
applications. Here, we propose a theory to generate further rich spin textures
in insulating antiferromagnets with broken spatial inversion symmetry (SIS),
which is easily controlled by a small magnetic field. In antiferromagnets, the
ordered moments host two species of magnons that serve as internal degrees of
freedom in analogy with electron spins. The Dzyaloshinskii-Moriya interaction
introduced by the SIS breaking couples the two-magnon-degrees of freedom with
the magnon momentum. We present a systematic way to design such texture and to
detect it via magnonic spin current for the realization of antiferromagnetic
memory.
