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.

4 pages, 1 figure

References in corpus (1)

• A Proof of Luttinger Theorem

Cited by in corpus (9)

• Absence of Luttinger's Theorem due to Zeros in the Single-Particle Green Function
• Breakdown of Luttinger's theorem in two-orbital Mott insulators
• Topological interpretation of Luttinger theorem
• Luttinger's theorem in presence of Luttinger surfaces
• Non-perturbative conserving approximations and Luttinger's sum rule
• Breakdown of the Luttinger sum rule within the Mott-Hubbard insulator
• Violation of the Luttinger sum rule within the Hubbard model on a triangular lattice
• 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