Log-rise of the Resistivity in a Holographic Kondo Model

We study a single channel Kondo effect using a recently developed holographic large-N technique. In order to obtain resistivity of this model, we introduce a probe field. The gravity dual of a localized fermionic impurity in 1+1 dimensional host matter is constructed by embedding a localized AdS₂-brane in the bulk of AdS₃. This helps us construct an impurity charge density which acts as a source to the bulk equation of motion of the probe gauge field. Our choice of parameters tunes the near boundary impurity current to be marginal, resulting in a log-T behavior in the UV resistivity, as is expected for the Kondo problem. The resistivity at the IR fixed point turns out to be zero, signaling a complete screening of the impurity.