Exact perturbative solution of the Kondo problem

Details Exact perturbative solution of the Kondo problem Exact perturbative solution of the Kondo problem

1995-06-22

arxiv.org/abs/cond-mat/9506104v1

Phys. Rev. Lett. 75 (1995) 4492

Physics

Condensed Matter

4 pages in revtex two-column

Scientific paper

10.1103/PhysRevLett.75.4492

We explicitly evaluate the infinite series of integrals that appears in the "Anderson-Yuval" reformulation of the anisotropic Kondo problem in terms of a one-dimensional Coulomb gas. We do this by developing a general approach relating the anisotropic Kondo problem of arbitrary spin with the boundary sine-Gordon model, which describes impurity tunneling in a Luttinger liquid and in the fractional quantum Hall effect. The Kondo solution then follows from the exact perturbative solution of the latter model in terms of Jack polynomials.

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