  In this article we consider the chiral Hall effect due to topologically
protected kink states formed in topological insulators at boundaries between
domains with differing topological invariants. Such systems include the
surfaces of three dimensional topological insulators magnetically doped or in
proximity with ferromagnets, as well as certain two dimensional topological
insulators. We analyze the equilibrium charge current along the domain wall and
show that it is equal to the sum of counter-propagating equilibrium currents
flowing along external boundaries of the domains. In addition, we also
calculate a dissipative current along the domain wall when an external voltage
is applied perpendicularly to the wall.
