  We numerically investigate the electronic properties of magnetic domain walls
formed in a Weyl semimetal. Electric charge distribution is computed from the
electron wave functions, by numerically diagonalizing the Hamiltonian under
several types of domain walls. We find a certain amount of electric charge
localized around the domain wall, depending on the texture of the domain wall.
This localized charge stems from the degeneracy of Landau states under the
axial magnetic field, which corresponds to the curl in the magnetic texture.
The localized charge enables one to drive the domain wall motion by applying an
external electric field without injecting an electric current, which is
distinct from the ordinary spin-transfer torque and is free from Joule heating.
