Violation of Luttinger's Theorem in the Two-Dimensional t-J Model

Abstract

We have calculated the high temperature series for the momentum distribution function n_k of the 2D t-J model to 12th order in inverse temperature. By extrapolating the series to T=0.2J we searched for a Fermi surface of the 2D t-J model. We find that three criteria used for estimating the location of a Fermi surface violate Luttinger's Theorem, implying the 2D t-J model does not have an adiabatic connection to a non-interacting model.

4 pages, 5 figures. Version with grayscale figures available upon request

References in corpus (1)

• Theory of Quasi-Particles in the Underdoped High Tc Superconducting State

Cited by in corpus (44)

• Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
• Photoemission Evidence for a Remnant Fermi Surface and d-Wave-Like Dispersion in Insulating Ca2CuO2Cl2
• Doping Evolution of the Underlying Fermi Surface in La2-xSrxCuO4
• Superconductivity in CoO${}_2$ Layers and the Resonating Valence Bond Mean Field Theory of the Triangular Lattice t-J model
• Angle-resolved photoemission in high Tc cuprates from theoretical viewpoints
• Anomalous low doping phase of the Hubbard model
• Kinetic energy driven superconductivity in doped cuprates
• The Hubbard model within the equations of motion approach
• Non-Fermi liquids as ersatz Fermi liquids: general constraints on compressible metals
• ARPES Spectra of the Hubbard model
• Transport and Optical Conductivity in the Hubbard Model: A High-Temperature Expansion Perspective
• Spontaneous deformation of the Fermi surface due to strong correlation in the two-dimensional t-J model
• Topological interpretation of Luttinger theorem
• Mottness collapse and statistical quantum criticality
• The Full Mottness
• Spectral functions, Fermi surface and pseudogap in the t-J model
• Determining the underlying Fermi surface of strongly correlated superconductors
• Incipient order in the t-J model at high temperatures
• Extremely Correlated Quantum Liquids
• Luttinger sum rule for finite systems of correlated electrons
• Fermi Liquids and the Luttinger Integral
• Non-perturbative conserving approximations and Luttinger's sum rule
• Spectral functions and pseudogap in the t-J model
• Quasiparticle spectral weights of Gutzwiller-projected high T_c superconductors
• Broad Peak in the d_{x^2-y^2} Superconducting Correlation Length as a Function of Hole Concentration in the Two-Dimensional t-J Model
• Linked-cluster expansion for the Green's function of the infinite-U Hubbard model
• Electronic spectral properties of the two-dimensional infinite-U Hubbard model
• Study of Spin and Charge Fluctuations in the U-t-t' Model
• Finite Temperature Strong Coupling Expansions for the SU(N) Hubbard Model
• Numerical solution of the t-J model with random exchange couplings in d=infinity dimensions
• Anisotropy on the Fermi Surface of the Two-Dimensional Hubbard Model
• Screened-interaction expansion for the Hubbard model and determination of the quantum Monte Carlo Fermi surface
• Violation of Luttinger's theorem in strongly correlated electronic systems within a 1/N expansion
• Electron momentum distribution in underdoped cuprates
• Violation of Luttinger's theorem in the simplest doped Mott insulator: Falicov-Kimball model in strong correlation limit
• On the Divergence of the Ferromagnetic Susceptibility in the SU(N) Nagaoka-Thouless Ferromagnet
• On the break in the single-particle energy dispersions and the `universal' nodal Fermi velocity in the high-temperature copper-oxide superconductors
• Functional renormalization group for extremely correlated electrons
• Functional renormalization group without functional integrals: implementing Hilbert space projections for strongly correlated electrons via Hubbard X-operators
• Extensive generalization of statistical mechanics based on incomplete information theory
• Correlation effects on the Fermi surface of the two-dimensional Hubbard model
• Single-hole dynamics in the t-J model
• Onset of charge incompressibility and Mott gaps in the Honeycomb-Lattice SU(4) Hubbard Model: Lessons for Twisted Bilayer Graphene systems
• Pseudogap and the Fermi surface in the t-J model