Suppression of the Kondo Resistivity Minimum in Magnetic Topological Insulators

Abstract: Magnetically-doped topological insulators are intensely studied 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, 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 non-magnetic 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.