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We study a single-channel Kondo effect using a recently developed holographiclarge-$N$ technique. In order to obtain resistivity of this model, we introducea probe field. The gravity dual of a localized fermionic impurity in1+1-dimensional host matter is constructed by embedding a localized2-dimensional Anti-de Sitter (\ads{2})-brane in the bulk of \ads{3}. This helpsus construct an impurity charge density which acts as a source to the bulkequation of motion of the probe gauge field. The functional form of the chargedensity is obtained independently by solving the equations of motion for thefields confined to the \ads{2}-brane. The asymptotic solution of the probefield is dictated by the impurity charge density, which in turn, affects thecurrent-current correlation functions, and hence the resistivity. Our choice ofparameters tunes the near-boundary impurity current to be marginal, resultingin a $\log T$ behavior in the UV resistivity, as is expected for the Kondoproblem. The resistivity at the IR fixed point turns out to be zero, signalinga complete screening of the impurity.

Log-rise of the Resistivity in the Holographic Kondo Model