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The Kondo model is a model for a single localized quantum impurity coupled to a large reservoir of delocalized and noninteracting electrons. The quantum impurity is represented by a spin-1/2 particle, and is coupled to a continuous band of noninteracting electrons by an antiferromagnetic exchange coupling J {\displaystyle J}. The Kondo model is used as a model for metals containing magnetic impurities, as well as quantum dot systems.
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