The theory of the many-impurity Kondo system developed in a previous paper is coupled with a statistical model, using a phenomenological relationship between the magnetic susceptibility χ and the effective Kondo temperature, to obtain the magnetic susceptibility of a very dilute Kondo system well below the single-impurity Kondo temperature. We find that the magnetic susceptibility can be represented as arising from a single-impurity effect proportional to the impurity concentration c, another term proportional to c 2, as well as a much smaller c 3 contribution. The coefficient of the c 2 term in χ has an approximate Curie law behavior at sufficiently low temperatures. The detailed temperature and concentration dependence of χ is in very good quantitative agreement with experiment, and is the first theoretical explanation of the anomalous magnetic susceptibility for Cu-Fe below T K. The modification of the susceptibility arises in the theory from the inhibition of the spin-compensated state by the impurity-impurity interaction. The latter renormalizes the ln T term even in the region of temperature where the system is magnetically completely disordered.
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Part of this work was supported by USAFOR, under contract 73-2430 during a summer visit at Yeshiva University.
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Klein, M.W., Shen, L. & Tsay, Y.C. Many-impurity effects in a weakly interacting Kondo system: Comparison of theory with experiment. J Low Temp Phys 19, 433–447 (1975). https://doi.org/10.1007/BF00114091
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DOI: https://doi.org/10.1007/BF00114091