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In this article we consider the chiral Hall effect due to topologicallyprotected kink states formed in topological insulators at boundaries betweendomains with differing topological invariants. Such systems include thesurfaces of three dimensional topological insulators magnetically doped or inproximity with ferromagnets, as well as certain two dimensional topologicalinsulators. We analyze the equilibrium charge current along the domain wall andshow that it is equal to the sum of counter-propagating equilibrium currentsflowing along external boundaries of the domains. In addition, we alsocalculate a dissipative current along the domain wall when an external voltageis applied perpendicularly to the wall.

Chiral Hall effect in the kink states in topological insulators with magnetic domain walls