# 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

- Physics, MedicinePhysical review letters
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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

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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

- Physics
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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…

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- Physics
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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

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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

- Physics
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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

- Mathematics
- 2004

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

- Physics
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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

- Physics
- 2001

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…