Application of the Rudermann—Kittel Interaction to Metals

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Abstract
The indirect exchange interaction of magnetic cores via the conduction electrons has been calculated on the basis of a simple model, and the original Rudermann—Kittel result was found provided that (3m/4πℏ2) × J SkF≪1, where J is the exchange interaction between the conduction electrons and the magnetic core electrons, and kF the radius of the Fermi sphere. For the usual values J = 5 eV·Å3, kF = 1 Å−1, and the spin S = 3, this parameter is 0.5. The zero points of the oscillatory interaction from this analysis may be particularly unreliable.