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- W1980381803 abstract "Abstract For uniform systems of spinless fermions in d spatial dimensions with d > 1, interacting through the isotropic two-body potential ν(r -r′), a celebrated theorem due to Luttinger (1961) states that under the assumption of validity of the many-body perturbation theory the self-energy ∑(k;e), with 0 k ≲ 3k F (where k F stands for the Fermi wavenumber), satisfies the following universal asymptotic relation as ∊ approaches the Fermi energy ∊F: Im [∑(k; e)]∼ ∓ α k (e - eF) 2, e ≶ eF, with α k 0. As this is, by definition, specific to self-energies of the Landau Fermi-liquid systems, treatment of non-Fermi-liquid systems are therefore thought to lie outside the domain of applicability of the many-body perturbation theory; that, for these systems, the many-body perturbation theory? should necessarily break down. We demonstrate that Im [∑(k; e)]∼ ∓ α k (e - eF) 2, e ≶ eF, is implicit in Luttinger's proof and that, for d > 1, in principle nothing prohibits a non-Fermi-liquid-type (and, in particular a ..." @default.
- W1980381803 created "2016-06-24" @default.
- W1980381803 creator A5091647468 @default.
- W1980381803 date "1999-08-01" @default.
- W1980381803 modified "2023-09-27" @default.
- W1980381803 title "A Luttinger's theorem revisited" @default.
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- W1980381803 doi "https://doi.org/10.1080/13642819908218309" @default.
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