# Abstract

We consider the motion of a spin-1/2 impurity in a one-dimensional gas of spin-1/2 fermions. For antiferromagnetic interaction between the impurity and the fermions, the low temperature behavior of the system is governed by the two-channel Kondo effect, leading to the impurity becoming completely opaque to the spin excitations of the gas. As well as the known spectral signatures of the two-channel Kondo effect, we find that the low temperature mobility of the resulting “Kondo polaron” takes the universal form $$\mu\to 3\hbar v_F^2/2\pi k_B^2T^2$$ in sharp contrast to the spinless case where $$\mu\propto T^{-4}$$.