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- W2526919268 abstract "We show exactly with an SU(N) interacting model that even if the ambiguity associated with the placement of the chemical potential, $mu$, for a T=0 gapped system is removed by using the unique value $mu(Trightarrow 0)$, Luttinger's sum rule is violated even if the ground-state degeneracy is lifted by an infinitesimal hopping. The failure stems from the non-existence 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.
- W2526919268 created "2016-10-07" @default.
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- W2526919268 date "2013-03-20" @default.
- W2526919268 modified "2023-09-23" @default.
- W2526919268 title "Absence of Luttinger's Theorem" @default.
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