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On Suhl's Theory of Exchange Scattering in Metals

1968; Oxford University Press; Volume: 40; Issue: 4 Linguagem: Inglês

10.1143/ptp.40.695

1347-4081

J. Kondo,

Quantum and electron transport phenomena

A closed-form solution to Suhl's integral equations for the T-matrixes for exchange scattering in metals is obtained which is valid at all the temperatures for both signs of J and is essentially the same as Suhl and Wong's solution. The solution turns out to be manifestly the same as that obtained by Blomfield and Hamann except minor differences. It enables us to calculate the free-energy shift which turns out to be essentially the same as the exact perturbation expansion at high temperatures at least up to fourth order, including the T log T term obtained in the preceding paper. The free energy does not show any discontinuous change across TK although both the “normal part” and the “non-analytic part” of it change discontinuously. As the temperature goes to zero, it develops a binding energy corresponding to the reduction of the entropy of the conduction electrons and tends to the exact ground-state energy which we obtained previously. These results support Suhl's assertion that the ground state of the s-d problem is reached by analytically continuing the high-temperature expansion across TK.