Fermi liquid identities for the Infinite U Anderson Model

Details Fermi liquid identities for the Infinite U Anderson Model Fermi liquid identities for the Infinite U Anderson Model

2006-10-02

arxiv.org/abs/cond-mat/0610027v2

Phys. Rev. B 76, 085117 (2007).

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages. Version 2 revised after referees comments

Scientific paper

10.1103/PhysRevB.76.085117

We show how the electron gas methods of Luttinger, Ward and Nozi\`eres can be applied to 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, 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 is expected to close at a quantum critical point.

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