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• W2015320629 abstract "We show exactly with an $SU(N)$ interacting model that even if the ambiguity associated with the placement of the chemical potential, $ensuremath{mu}$, for a $T=0$ gapped system is removed by using the unique value $ensuremath{mu}(Tensuremath{rightarrow}0)$, Luttinger's sum rule is violated even if the ground-state degeneracy is lifted by an infinitesimal hopping. The failure stems from the nonexistence of the Luttinger-Ward functional for a system in which the self-energy diverges. Since it is the existence of the Luttinger-Ward functional that is the basis for Luttinger's theorem which relates the charge density to sign changes of the single-particle Green function, no such theorem exists. Experimental data on the cuprates are presented which show a systematic deviation from the Luttinger count, implying a breakdown of the electron quasiparticle picture in strongly correlated electron matter." @default.
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• W2015320629 date "2013-02-28" @default.
• W2015320629 modified "2023-10-02" @default.
• W2015320629 title "Absence of Luttinger’s Theorem due to Zeros in the Single-Particle Green Function" @default.
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• W2015320629 doi "https://doi.org/10.1103/physrevlett.110.090403" @default.
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