2010/08/31 by Pavel Augustinsky, Pavel Augustinský, V. Janiš +1 · 1 citation
Mathematics · Physics and Astronomy · #Anderson impurity model #Atomic orbital #Condensed matter physics #Electron #Hubbard model #Mathematics #Mean field theory #Paramagnetism #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Quasiparticle #Rare-earth and actinide compounds #Slave boson #Strongly correlated material #Superconductivity #Vertex (graph theory) #cond-mat.mtrl-sci #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.83.035114
published as Phys. Rev. B 83, 035114 (2011) · 14 pages, 15 figures
arxiv created 2010/11/11 · openalex publication_date 2011/01/18 · arxiv updated 2011/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We extend an approximation that we developed earlier for the single-impurity Anderson model to a full-size impurity solver for models of interacting electrons with multiple orbitals. The approximation is based on parquet equations simplified by separating small and large energy fluctuations justified in the critical region of a pole in the two-particle vertex. We show that an l-orbital model with the most general interaction is described within this approximation by 4l2\ifmmode×\else\texttimes\fi4l2 matrices and is Fermi liquid in the metallic phase. We explicitly calculate properties of a paramagnetic solution of a two-orbital Hubbard model with a Hund exchange and orbital splitting within the dynamical mean-field approximation. We trace the genesis of a metal-insulator transition induced by a crystal field and vanishing of the Kondo quasiparticle peak in strongly correlated orbitally asymmetric systems.