Abstract
Magnetic impurity atoms scatter the conduction electrons of a host metal because of the exchange interaction. The phase shifts caused by this scattering are calculated from a crude model for conduction electrons with spin parallel or antiparallel to the spin of the impurity atom, for various alloy systems of interest (Cr, Mn, Fe, Co, and Ni in Al, Zn, Nb, In, Sn, Tl, and Pb). From the calculated phase shifts, the expected depression in the host metal's superconducting transition temperature is calculated, and the results are compared with experimental data. Partial waves beyond $s$ waves are found to be essential; in fact, the $p$- and $d$-wave scattering dominate the $s$-wave scattering in many cases. The superconducting electronic density of states can also be calculated from the phase shifts, and good agreement with our results has been found with tunneling data obtained by Tsang and Ginsberg for In-Mn alloys.
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