Correlation function for the one-dimensional extended Hubbard model at quarter filling

Abstract

We examine the density-density correlation function in the Tomonaga-Luttinger liquid state for the one-dimensional extended Hubbard model with the on-site Coulomb repulsion $U$ and the intersite repulsion $V$ at quarter filling. By taking into account the effect of the marginally irrelevant umklapp scattering operator by utilizing the renormalization-group technique based on the bosonization method, we obtain the generalized analytical form of the correlation function. We show that, in the proximity to the gapped charge-ordered phase, the correlation function exhibits anomalous crossover between the pure power-law behavior and the power-law behavior with logarithmic corrections, depending on the length scale. Such a crossover is also confirmed by the highly-accurate numerical density-matrix renormalization group method.

6 pages, 3 figures

References in corpus (2)

• Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field
• Tomonaga-Luttinger parameters for doped Mott insulators

Cited by in corpus (2)

• Interaction-range effects for fermions in one dimension
• Effective Hamiltonian for the electronic properties of the quasi-one-dimensional material Li0.9Mo6O17