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2 results

  • 7 - Single Impurity Scattering

  • Tao Xiang, Chinese Academy of Sciences, Beijing, Congjun Wu, Westlake University, Hangzhou
  • Book:
    D-wave Superconductivity
    Published online:
    17 June 2022
    Print publication:
    09 June 2022, pp 158-183

  • Summary

    Chapter 7 studies the single-impurity scattering effect on the density of states and other physical quantities. A low-energy resonance state induced by a unitary scattering potential is shown to exist in a d-wave superconductor, but is absent in an s-wave superconductor. The tunneling spectrum associated with a Zn impurity and the phenomenological theory of quasiparticle interference are discussed and compared with the experimental results. The in-gap resonance or bound states induced by a magnetic impurity and the Kondo effect in a d-wave superconductor are also discussed.

  • 24 - Quantum Theory of Magnetism: Itinerant-Electron Systems and the Kondo Effect

  • from Part Three - Many-Body Physics
  • Michael El-Batanouny, Boston University
  • Book:
    Advanced Quantum Condensed Matter Physics
    Published online:
    06 March 2020
    Print publication:
    26 March 2020, pp 769-807

  • Summary

    Deals with magnetism in itinerant systems. It starts with the Stoner mean-field theory, as derived from a simple Hubbard model, and Stoner excitations and spin-waves obtained with the aid of RPA. The concept of nesting and spin-density waves is then discussed. This is followed by a detailed presentation of Anderson’s magnetic impurity model and its relation to the Kondo model through the Schrieffer–Wolff transformation. Finally, a detailed account of the Kondo effect and the Kondo resonance is given.