2007/03/31 by L. Borda, Lars Fritz, L. Fritz +4 · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.75.235112
published as Phys. Rev. B 75, 235112 (2007) · published version
openalex publication_date 2007/06/15 · arxiv created 2007/06/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We use the framework setup recently to compute nonperturbatively inelastic scattering from quantum impurities [G. Zar'and et al., 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.