Abstract

Scaling arguments and renormalization group techniques are used in the Anderson model Hamiltonian for the nonmagnetic limit of a magnetic impurity. The range of validity of the theory is limited toU/πΔ ≪ 1, where the electron-electron collisions can already compete strongly with the electron-hole collisions. A “parquet” approximation is developed; it gives for the static susceptibility in the symmetric case χ = (πΔ)−1exp (+U/πΔ). There are some hints that the exchange force might play a crucial role in the formation of localized magnetic moment. These considerations are consistent with the electron-hole symmetry in the symmetric Anderson model.

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