  The Karplus-Luttinger anomalous velocity is shown to lead to
electric-field-induced charge accumulation in nearly ferromagnetic noncollinear
magnets with itinerant electrons, like $MnSi$. For helical magnetic ordering,
the balance between this accumulation and the Coulomb interaction leads to a
nonequilibrium charge density wave state with the period of the helix, even
when such accumulation is forbidden by an approximate gauge-like symmetry in
the absence of electric field. We compute the strength of such charge
accumulation as an example of how unexpected many-electron physics is induced
by the inclusion of the one-electron Karplus-Luttinger term whenever the local
exchange field felt by conduction electrons does not satisfy the current-free
Maxwell equations.
