Breakdown of the Luttinger sum rule within the Mott-Hubbard insulator

Abstract

The validity of the Luttinger sum rule is investigated within the prototype tight-binding model of interacting fermions in one dimension, i.e., the t-V model including the next-nearest neighbor hopping t' in order to break the particle-hole symmetry. Scaling analysis of finite-system results at half-filling reveals evident breakdown of the sum rule in the regime of large gap at V >> t, while the sum rule appears to recover together with vanishing of the Mott-Hubbard gap.

arXiv comment4 pages, 5 figures

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Cited by in corpus (4)

• Exotic Lifshitz transitions in topological materials
• Variational cluster approach to superconductivity and magnetism in the Kondo lattice model
• Interaction induced Fermi-surface renormalization in the $t_1-t_2$ Hubbard model close to the Mott-Hubbard transition
• Violation of Luttinger's theorem in the simplest doped Mott insulator: Falicov-Kimball model in strong correlation limit