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anderson magnetic impurity model

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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
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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.