Low temperature magnetic susceptibility in the infinite U Anderson dilute alloy model

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Abstract
The zero field magnetic susceptibility of dilute alloys is calculated using the infinite U Anderson dilute alloy model and the double time Green function method. Exact numerical computation is made on the 'localized' susceptibility chi d for ranges of temperatures round Tk. From the computation, the effective Curie constant is found to vanish as T to 0. This implies a complete spin compensation of the d impurity at T=0. Evaluation of chi d shows that for high temperatures (T>Tk), chi d varies as (T+Tk)-1. In the low temperature region (Tk), chi d follows a T-n power law. The value of n is found to vary with Ed and Delta . For Ed= -0.35D and Delta -0.16D, n gives 0.56. This is in good qualitative agreement with the experimental measurements of Daybell et al. and the calculation of Ganguly and Shastry using the s-d interaction model.