2006/10/31 by Eran Lebanon, P. Coleman, Piers Coleman · 10 citations
Physics and Astronomy · #Lattice (music) #Mathematical physics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Rare-earth and actinide compounds #Spinon #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.76.085117
published in Physical Review B 76(8) (American Physical Society) · 18 pages. Version 2 revised after referees comments
arxiv created 2007/04/29 · openalex publication_date 2007/08/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show how the electron-gas methods of Luttinger, Ward, and Nozi\`eres can be applied to an SU(N), multichannel generalization of the infinite-U Anderson impurity model within a Schwinger boson treatment. Working to all orders in a 1∕N expansion, we show how the Friedel-Langreth relationship and the Yamada-Yosida-Yoshimori and the Shiba-Korringa relations can be derived under the assumption that the spinon and holon fields are gapped. One of the remarkable features of this treatment is that the Landau amplitudes depend on the exchange of low-energy virtual spinons and holons. We end the paper with a discussion on the extension of our approach to the lattice, where the spinon-holon gap is expected to close at a quantum critical point.