Luttinger sum rule for finite systems of correlated electrons

Abstract

The validity of the Luttinger sum rule is considered for finite systems of interacting electrons, where the Fermi volume is determined by location of zeroes of Green's function. It is shown that the sum rule in the paramagnetic state is evidently violated within the planar t-J model at low doping while for the related Hubbard model, even in the presence of next-nearest-neighbor hopping, no clearcut exception is found.

arXiv comment4 pages, 1 figure

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Cited by in corpus (18)

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• Luttinger's theorem in presence of Luttinger surfaces
• Extremely Correlated Quantum Liquids
• Non-perturbative conserving approximations and Luttinger's sum rule
• Extremely Correlated Fermi Liquids: Self consistent solution of the second order theory
• Appearance of Universal Metallic Dispersion in a Doped Mott Insulator
• Towards the Standard Model of Fermi Arcs from a Wilsonian Reduction of the Hubbard Model
• Variational cluster approach to superconductivity and magnetism in the Kondo lattice model
• Breakdown of the Luttinger sum rule within the Mott-Hubbard insulator
• Interaction induced Fermi-surface renormalization in the $t_1-t_2$ Hubbard model close to the Mott-Hubbard transition
• Violation of the Luttinger sum rule within the Hubbard model on a triangular lattice
• Numerical solution of the t-J model with random exchange couplings in d=infinity dimensions
• The Hall Number, Optical Sum Rule and Carrier Density for the $t$-$t^{\prime }$-$J$ model
• Violation of Luttinger's theorem in the simplest doped Mott insulator: Falicov-Kimball model in strong correlation limit
• Functional renormalization group for extremely correlated electrons