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The Kondo effect in terms of a reduced s-d model with uniform impurity density

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  • Maćkowiak, J.

Abstract

A reduction procedure is proposed for the s-d exchange Hamiltonian H describing the interaction of conducting electrons with magnetic impurities in a nonmagnetic host metal. The momenta of interacting electrons are restricted to a thin layer around the Fermi wave number. The reduced Hamiltonian Hr is asymptotically equivalent in the thermodynamic limit to an electron gas decoupled from the impurity spins and exhibits a second order phase transition. The electron spins align antiparallel to those of the impurities below Tc. The presence of a phase transition in Hr proves the existence of transition in H. Kondo's perturbation theory technique is then applied to the interaction H - Hr, yielding a finite resistivity at T = 0.

Suggested Citation

  • Maćkowiak, J., 1993. "The Kondo effect in terms of a reduced s-d model with uniform impurity density," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(1), pages 165-176.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:1:p:165-176
    DOI: 10.1016/0378-4371(93)90104-C
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