On the Emery-Kivelson Solution of the two channel Kondo problem

Abstract

We consider the two channel Kondo model in the Emery-Kivelson approach, and calculate the total susceptibility enhancement due to the impurity ${\chi }_{imp}=\chi -{\chi }_{bulk}$. We find that ${\chi }_{imp}$ exactly vanishes at the solvable point, in a completely analogous way to the singular part of the specific heat $C_{imp}$. A perturbative calculation around the solvable point yields the generic behaviour ${\chi }_{imp}\sim \log \frac{1}{T}$, $C_{imp}\sim T\log T$ and the known universal value of the Wilson ratio $R_W=\frac{8}{3}$. From this calculation, the Kondo temperature can be identified and is found to behave as the inverse-square of the perturbation parameter. The small field, zero-temperature behaviour ${\chi }_{imp}\sim log\frac{1}{h}$ is also recovered.

7 pages, REVTEX, 1 figure available on request, LPTENS preprint 93/46

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