Theory of inelastic scattering from quantum impurities
Abstract
We use the framework setup recently to compute nonperturbatively inelastic scattering from quantum impurities [G. Zaránd , Phys. Rev. Lett. 93, 107204 (2004)] 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=1/2 two-channel Kondo model, the Anderson model, and the usual S=1/2 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=1/2 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.
- Publication:
-
Physical Review B
- Pub Date:
- June 2007
- DOI:
- 10.1103/PhysRevB.75.235112
- arXiv:
- arXiv:cond-mat/0703293
- Bibcode:
- 2007PhRvB..75w5112B
- Keywords:
-
- 74.70.-b;
- 75.20.Hr;
- Superconducting materials;
- Local moment in compounds and alloys;
- Kondo effect valence fluctuations heavy fermions;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 15 pages, 12 figures, submitted to Phys. Rev. B