Scaling law for a magnetic impurity model with two-body hybridization

1995/03/21 by Yue Yu, Yifei Yu, Yanmin Li +3
Mathematics · Physics and Astronomy · #Anderson impurity model #Condensed matter physics #Fermi Gamma-ray Space Telescope #Fermi liquid theory #Function (biology) #Geometry #Impurity #Magnetic impurity #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Scaling #Scaling law #Statistical physics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevb.51.16417

published in Physical review. B, Condensed matter 51(22), 16417-16420 (American Physical Society) · 14 pages, latex, 1 figure included.

arxiv created 1995/03/21 · openalex publication_date 1995/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider a magnetic impurity coupled to the hybridizing and screening channels of a conduction band. The model is solved in the framework of poor man's scaling and Cardy's generalized theories. We point out that it is important to include a two-body hybridization if the scaling theory is to be valid for the bandwidth larger than U. We map out the boundary of the Fermi-liquid--non-Fermi-liquid phase transition as a function of the model parameters.

Citations

• Asymptotically exact solution of the multichannel resonant-level model
• Relation between the Anderson and Kondo Hamiltonians
• The renormalization group: Critical phenomena and the Kondo problem
• Exact Solution of a Many-Fermion System and Its Associated Boson Field
• Theory of the atomic limit of the Anderson model. I. Perturbation expansions re-examined
• Scaling Theory of the Asymmetric Anderson Model
• A ?fermi-liquid? description of the Kondo problem at low temperatures