Kinks in the Kondo problem

1993/04/19 by Paul Fendley · 3 citations
Physics and Astronomy · #Anderson impurity model #Condensed matter physics #Degenerate energy levels #Electron #Impurity #Kondo effect #Magnetic impurity #Maxima and minima #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Quasiparticle #Superconductivity #Topological Materials and Phenomena #cond-mat #hep-th

paper · pdf · doi:10.1103/physrevlett.71.2485

9 pages +1 figure

arxiv created 1993/04/19 · openalex publication_date 1993/10/11 · arxiv updated 2016/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We find the exact quasiparticle spectrum, elastic S matrix, and free energy for the continuum Kondo problem of k species of electrons coupled to an impurity of spin S. Here, the impurity becomes an immobile quasiparticle sitting on the boundary. The particles are ``kinks,'' which can be thought of as field configurations interpolating between adjacent wells of a potential with k+1 degenerate minima. For the overscreened case k>2S, the impurity in the continuum is a kink as well, which explains the noninteger number of boundary states.

Citations

• Foundations of Rational Quantum Field Theory, I
• Non-abelian bosonization in two dimensions
• The renormalization group: Critical phenomena and the Kondo problem
• Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
• A ?fermi-liquid? description of the Kondo problem at low temperatures

Cited by

• Exclusion statistics in conformal field theory and the UCPF for WZW models
• The continuum limit of sl(N/K) integrable super spin chains
• On the parafermionic scattering of an integrable Heisenberg model with impurity