Abstract
Starting with a generalized Anderson Hamiltonian and a Schrieffer-Wolff transformation for R.E. systems a Hamiltonian H r is derived which is appropriate for Tm, Pr and to a lesser extent for Tb impurities in a metallic host. It is shown that this Hamiltonian contains the Kondo Hamiltonian and that of Cocqblin and Schrieffer (which is valid for Ce and Yb impurities) as special cases. To investigate the properties of the Hamiltonian, crystal field effects are neglected and the equation-of-motion-method is applied. The corresponding system of 6 or 8 coupled integral equations is solved. The solution allows a discussion of the ferromagnetic and antiferromagnetic couplings which normally both occur. The condition for only ferromagnetic coupling of H r is given. This condition is fulfilled in Tb 4+ impurities. The resistivity is calculated for Pr 2+, Pr 3+, Tm 2+, Tm 3+ and Tb 3+ impurities.
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