2010/07/23 by Yunori Nishikawa, D. J. G. Crow, Daniel D. G. Crow +2
Physics and Astronomy · #Anderson impurity model #Charge (physics) #Condensed matter physics #Coupling (piping) #Coupling constant #Electrical resistivity and conductivity #Impurity #Kondo effect #Kondo model #Materials science #Mathematical physics #Perturbation theory (quantum mechanics) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Quasiparticle #Rare-earth and actinide compounds #Renormalization #Renormalization group #Spin (aerodynamics) #Superconductivity #Thermodynamics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.82.115123
9 pages, 17 figures
arxiv created 2010/07/23 · openalex publication_date 2010/09/27 · arxiv updated 2015/05/19 · openalex created_date 2022/05/12 · openalex updated_date 2026/08/05
We extend the renormalized perturbation theory for the single-impurity Anderson model to the n-channel model with a Hund's rule coupling, and show that the exact results for the spin, orbital, and charge susceptibilities, as well as the leading low-temperature dependence for the resistivity, are obtained by working to second order in the renormalized couplings. A universal relation is obtained between the renormalized parameters, independent of n, in the Kondo regime. An expression for the dynamic spin susceptibility is also derived by taking into account repeated quasiparticle scattering, which is asymptotically exact in the low-frequency regime and satisfies the Korringa-Shiba relation. The renormalized parameters, including the renormalized Hund's rule coupling, are deduced from numerical renormalization-group calculations for the model for the case n=2. The results confirm explicitly the universal relations between the parameters in the Kondo regime. Using these results, we evaluate the spin, orbital, and charge susceptibilities, temperature dependence of the low-temperature resistivity, and dynamic spin susceptibility for the particle-hole symmetric regime of the n=2 model.