Magnetically doped topological insulators are studied intensively in the search for exotic phenomena such as the quantum anomalous Hall effect. The interplay of electronic and impurity degrees of freedom leads to the Kondo effect, which is an increase in the resistivity at temperatures $T<T_K$ (the Kondo temperature). We study this effect in chiral surface state transport at $T\ge T_K$ in the metallic regime, starting from the quantum Liouville equation and including Kondo scattering to all orders, as well as phonon and nonmagnetic impurity scattering. Unlike spin-orbit coupled metals and semiconductors, $T_K$ is suppressed by spin-momentum locking, which prevents the formation of a Kondo screening cloud. We expect a resistivity ${\rho }_{xx}\propto T^4$ primarily due to phonons.

• Received 8 August 2013

DOI:https://doi.org/10.1103/PhysRevB.88.125140