Generalization of Luttinger’s theorem for strongly correlated electron systems

2003/08/01 by M. M. Korshunov, S. G. Ovchinnikov
Materials Science · Physics and Astronomy · #Organic and Molecular Conductors Research #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1134/1.1602872

published as Phys. Solid State, Vol. 45, No. 8, 2003, pp. 1415-1422 [Fiz. Tverdogo Tela, Vol. 45, No. 8, 2003, pp. 1351-1357] · 7 pages, 3 figures

openalex publication_date 2003/08/01 · arxiv created 2004/05/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

By on the analyzing the general structure of the Green function of a strongly correlated electron system, it is shown that, for the regime of strong correlations, Luttinger’s theorem should be generalized in the following way: the volume of the Fermi surface of the system of noninteracting particles is equal to that of the quasiparticles in the strongly correlated system with due regard for the spectral weight of the quasiparticles. An investigation of the t-J model and of the Hubbard model, as applied to the paramagnetic nonsuperconducting phase, shows that the generalized Luttinger theorem is valid for these models.

Citations

• Electron correlations in narrow energy bands

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