Violation of the Luttinger sum rule within the Hubbard model on a triangular lattice

Abstract

The frequency-moment expansion method is developed to analyze the validity of the Luttinger sum rule within the Mott-Hubbard insulator, as represented by the generalized Hubbard model at half filling and large $U$. For the particular case of the Hubbard model with nearest-neighbor hopping on a triangular lattice lacking the particle-hole symmetry results reveal substantial violation of the sum rule.

4 pages, 2 figures

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Cited by in corpus (5)

• Holon-Doublon Binding as the Mechanism for the Mott transition
• Towards the Standard Model of Fermi Arcs from a Wilsonian Reduction of the Hubbard Model
• Breakdown of the Luttinger sum rule within the Mott-Hubbard insulator
• Violation of Luttinger's theorem in the simplest doped Mott insulator: Falicov-Kimball model in strong correlation limit
• Fermi Surface Volume of Interacting Systems