Generalization of Luttinger's Theorem for Strongly Correlated Electron Systems

Abstract

Analyzing general structure of the Green function of a strongly correlated electron system we have shown that for the regime of strong correlations Luttinger's theorem should be generalized in the following way: the volume of the Fermi surface of the system of noninteracting particles is equal to volume of the Fermi surface of the quasiparticles in the strongly correlated system with account for the spectral weight of these quasiparticles. Hubbard and t-J models analysis in the paramagnetic nonsuperconducting phase shows that the generalized Luttinger's theorem is valid for these models.

arXiv comment7 pages, 3 figures

References in corpus (6)

• Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
• Anomalous low doping phase of the Hubbard model
• Superconductivity in the two dimensional Hubbard Model.
• ARPES Spectra of the Hubbard model
• Magnetism in the single-band Hubbard model
• Theory for Dynamical Short Range Order and Fermi Surface Volume in Strongly Correlated Systems

Cited by in corpus (5)

• Fermi Liquids and the Luttinger Integral
• Exact ground states and correlation functions of chain and ladder models of interacting hardcore bosons or spinless fermions
• Fluctuating Quantum Kinetic Theory
• Momentum distribution and non-Fermi liquid behaviour in low-doped two-orbital model: finite-size cluster quantum Monte Carlo approach
• The Fermi surface and the role of electronic correlations in Sm${}_{2-x}$Ce${}_x$CuO${}_4$