We use the framework setup recently to compute nonperturbatively inelastic scattering from quantum impurities to study the energy dependence of the single-particle S matrix and the inelastic scattering cross section for a number of quantum impurity models. We study the case of the spin S=12 two-channel Kondo model, the Anderson model, and the usual S=12 single-channel Kondo model. We discuss the difference between non-Fermi-liquid and Fermi-liquid models and study how a crossover between the non-Fermi-liquid and Fermi-liquid regimes appears in the case of channel anisotropy for the S=12 two-channel Kondo model. We show that for the most elementary non-Fermi-liquid system, the two-channel Kondo model, half of the scattering remains inelastic even at the Fermi energy. Details of the derivation of the reduction formulas and a simple path integral approach to connect the T matrix to local correlation functions are also presented.
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|Publication status||Published - Jun 15 2007|
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics