  Using a pure electric current to control kagome non-collinear
anti-ferromagnets is expected to be superior to ferromagnets and
$\mathcal{PT}$-symmetric anti-ferromagnets in information storage and
processing. However, a full description of the magnetic dynamics of the
non-collinear anti-ferromagnetism driven by a pure electric current is still
lacking, in particular, on intrinsic (i.e., without using external magnetic
fields or external spin currents) spin-orbit torques. In this work, by
assembling multiple microscopic models and theoretical approaches, we
self-consistently describe the relations among the electronic structure,
magnetic structure, spin accumulations, and intrinsic spin-orbit torques, in
the magnetic dynamics of a non-collinear anti-ferromagnet driven by a pure
electric current. Our calculation can yield a critical current density
comparable with those in the experiments. The full description will be helpful
for future applications of non-collinear anti-ferromagnets.

Mesoscale and Nanoscale Physics