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The "QCD Kondo effect" stems from the color exchange interaction in QCD withnon-Abelian property, and can be realized in a high-density quark mattercontaining heavy-quark impurities. We propose a novel type of the QCD Kondoeffect induced by a strong magnetic field. In addition to the fact that themagnetic field does not affect the color degrees of freedom, two propertiescaused by the Landau quantization in a strong magnetic field are essential forthe "magnetically induced QCD Kondo effect"; (1) dimensional reduction to1+1-dimensions, and (2) finiteness of the density of states for lowest energyquarks. We demonstrate that, in a strong magnetic field $B$, the scatteringamplitude of a massless quark off a heavy quark impurity indeed shows acharacteristic behavior of the Kondo effect. The resulting Kondo scale isestimated as $\Lambda_{\rm K} \simeq \sqrt{e_qB}\ \alpha_{s}^{1/3}{\rm{exp}}\{-{4}\pi/N_{c} \alpha_{s} {\rm{log}}( 4 \pi/\alpha_{s}) \}$ where$\alpha_{s}$ and $N_c$ are the fine structure constant of strong interactionand the number of colors in QCD, and $e_q$ is the electric charge of lightquarks.

Magnetically induced QCD Kondo effect