Kondo Problem and Related One-dimensional Quantum Systems: Bethe Ansatz Solution and Boundary Conformal Field Theory

2004/08/09 by Satoshi Fujimoto, Norio Kawakami · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1143/jpsj.74.67

6 pages, no figures

arxiv created 2004/08/09 · openalex publication_date 2005/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We review some exact results on Kondo impurity systems derived from Bethe-ansatz solutions and boundary conformal field theory with particular emphasis on universal aspects of the phenomenon. The finite-size spectra characterizing the low-energy fixed point are computed from the Bethe-ansatz solutions of various models related to the Kondo problem. Using the finite-size scaling argument, we investigate their exact critical properties. We also discuss that a universal relation between the Kondo effect and the impurity effect in one-dimensional quantum systems usefully expedites our understanding of these different phenomena.

Citations

• Boundary Susceptibility in the Spin-1/2Chain: Curie-Like Behavior without Magnetic Impurities
• Exact finite-size spectrum for the multi-channel Kondo model and Kac-Moody fusion rules
• Boundary contributions to specific heat and susceptibility in the spin-12 XXZchain
• Resistance Minimum in Dilute Magnetic Alloys
• A ?fermi-liquid? description of the Kondo problem at low temperatures

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