Exact perturbative solution of the Kondo problem

Journal Article · Fri Dec 01 00:00:00 EST 1995 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.75.4492· OSTI ID:277352

Fendley, P; Saleur, H ^[1]

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1. Department of Physics, University of Southern California, Los Angeles, California 90089-0484 (United States)

We explicitly evaluate the infinite series of integrals that appear in the {open_quote}{open_quote}Anderson-Yuval{close_quote}{close_quote} reformulation of the anisotropic Kondo model in terms of a one-dimensional Coulomb gas. We do this by developing a general approach relating the anisotropic Kondo model of arbitrary spin with the boundary sine-Gordon model, which describes an impurity in a Luttinger liquid and tunneling 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. {copyright} {ital 1995 The American Physical Society.}

• Research Organization: Univ. of Southern California, Los Angeles, CA (United States)
• DOE Contract Number: FG03-84ER40168
• OSTI ID: 277352
• Journal Information: Physical Review Letters, Vol. 75, Issue 24; Other Information: PBD: Dec 1995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
KONDO EFFECT
ANALYTICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PERTURBATION THEORY
SINE-GORDON EQUATION