Density correlations in the half-filled Hubbard model

@article{Essler1999DensityCI,
  title={Density correlations in the half-filled Hubbard model},
  author={Fabian H L Essler and Holger Frahm},
  journal={Physical Review B},
  year={1999},
  volume={60},
  pages={8540-8542}
}
We consider density-density correlations in the one-dimensional Hubbard model at half filling. On intuitive grounds one might expect them to exhibit an exponential decay. However, as has been noted recently, this is not obvious from the Bethe Ansatz/conformal field theory (BA/CFT) approach. We show that by supplementing the BA/CFT analysis with simple symmetry arguments one can easily prove that correlations of the lattice density operators decay exponentially. 
11 Citations
Optical conductivity of the half-filled hubbard chain
TLDR
This work combines well-controlled analytical and numerical methods to determine the optical conductivity of the one-dimensional Mott-Hubbard insulator at zero temperature using exact field-theoretical methods.
Effective Hamiltonian for a Half-filled Hubbard Chain with Alternating On-site Interactions
We derive an effective spin Hamiltonian for the one-dimensional half-filled alternating Hubbard model in the limit of strong on-site repulsion. We show that the effective Hamiltonian is a spin S =
The Mott metal-insulator transition in the 1D Hubbard model in an external magnetic field
We study the low energy behavior of the one dimensional Hubbard model across the Mott metal-insulator phase transition in an external magnetic field. In particular we calculate elements of the
Dynamical density correlation function of one-dimensional Mott insulators in a magnetic field
We consider the one-dimensional extended Hubbard model at half filling in the presence of a magnetic field. Using field theory techniques we calculate the dynamical density-density correlation
Spinon and η-spinon correlation functions of the Hubbard chain
We calculate real-space static correlation functions of spin and charge degrees of freedom of the one-dimensional Hubbard model that are described by operators related to singly occupied sites with
Effective Hamiltonian for a Half-filled Asymmetric Ionic Hubbard Chain with Alternating On-site Interaction
We derive an effective spin Hamiltonian for the one-dimensional half-filled asymmetric ionic Hubbard model with alternating on-site interaction in the limit of strong repulsion. It is shown that the
Field-theoretical methods in quantum magnetism
We present a review of different field theory techniques that have proved very useful in the study of quantum magnets in low dimensions We first review the application of the spin-wave analysis and
Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
We investigate the properties of the Heisenberg S = 1 chain with bilinear and biquadratic interactions in a magnetic field using the density-matrix renormalization-group, Bethe ansatz, and
Symmetries in the Hubbard model with n-fold orbital degeneracy
The present paper studies the symmetries of the Hubbard model of electrons with generally n-fold orbital degeneracy. It is shown that SUd(2n) and SUc(2n) symmetries hold, respectively, for the model
...
1
2
...