# Absence of Luttinger's theorem due to zeros in the single-particle Green function.

@article{Dave2013AbsenceOL, title={Absence of Luttinger's theorem due to zeros in the single-particle Green function.}, author={Kiaran B. Dave and Philip W. Phillips and Charles L. Kane}, journal={Physical review letters}, year={2013}, volume={110 9}, pages={ 090403 } }

We show exactly with an SU(N) interacting model that even if the ambiguity associated with the placement of the chemical potential, μ, for a T=0 gapped system is removed by using the unique value μ(T→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…

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