  Spin-momentum locking in Weyl semimetals correlates the orbital motion of
electrons with background magnetic textures. We show here that the dynamics of
a magnetic texture in a magnetic Weyl semimetal induces a pumped electric
current that is free from Joule heating. This pumped current can be regarded as
a Hall current induced by axial electromagnetic fields equivalent to the
magnetic texture. Taking a magnetic domain wall as a test case, we demonstrate
that a moving domain wall generates a pumping current corresponding to the
localized charge.
