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

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

1993-12-03

arxiv.org/abs/cond-mat/9312016v1

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.49.10020

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 $\chi_{imp} \sim \log {1 \over T}$, $C_{imp} \sim T\log T $ and the known universal value of the Wilson ratio $R_W={8 \over 3}$. 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 $\chi_{imp}\sim log {1 \over h}$ is also recovered.

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