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

J. Maćkowiak

Physica A: Statistical Mechanics and its Applications, 1993, vol. 199, issue 1, 165-176

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.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:199:y:1993:i:1:p:165-176

DOI: 10.1016/0378-4371(93)90104-C

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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