Poor man's scaling and Lie algebras

Abstract

We consider a general model, describing a quantum impurity with degenerate energy levels, interacting with a gas of itinerant electrons, derive general scaling equation for the model, and analyse the connection between its particular forms and the symmetry of interaction. On the basis of this analysis we write down scaling equations for the Hamiltonians which are the direct products of $su(3)$ Lie algebras and have either $SU(2)\times U(1)$ or $SU(2)$ symmetry. We also put into a new context anisotropic Coqblin -- Schrieffer models proposed by us earlier.

LaTeX, 8 pages. As accepted for publication in J. Phys. Comm

References in corpus (6)

• A rich man's derivation of scaling laws for the Kondo model
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• Poor man's scaling: anisotropic Kondo and Coqblin--Schrieffer models
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Cited by in corpus (4)

• ABCD of Kondo effect
• Topological symplectic Kondo effect
• Poor man's scaling: $XYZ$ Coqblin--Schrieffer model revisited
• Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case