Charge and spin Drude weight of the one-dimensional extended Hubbard model at quarter-filling

Details Charge and spin Drude weight of the one-dimensional extended Hubbard model at quarter-filling Charge and spin Drude weight of the one-dimensional extended Hubbard model at quarter-filling

2009-02-24

arxiv.org/abs/0902.4139v1

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 9 figures

Scientific paper

We calculate the charge and spin Drude weight of the one-dimensional extended Hubbard model with on-site repulsion $U$ and nearest-neighbor repulsion $V$ at quarter filling using the density-matrix renormalization group method combined with a variational principle. Our numerical results for the Hubbard model (V=0) agree with exact results obtained from the Bethe ansatz solution. We obtain the contour map for both Drude weights in the $UV$-parameter space for repulsive interactions. We find that the charge Drude weight is discontinuous across the Kosterlitz-Thouless transition between the Luttinger liquid and the charge-density-wave insulator, while the spin Drude weight varies smoothly and remains finite in both phases. Our results can be generally understood using bosonization and renormalization group results. The finite-size scaling of the charge Drude weight is well fitted by a polynomial function of the inverse system size in the metallic region. In the insulating region we find an exponential decay of the finite-size corrections with the system size and a universal relation between the charge gap $\Delta_c$ and the correlation length $\xi$ which controls this exponential decay.

Affiliated with

Also associated with

No associations

Rating

Charge and spin Drude weight of the one-dimensional extended Hubbard model at quarter-filling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Charge and spin Drude weight of the one-dimensional extended Hubbard model at quarter-filling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Charge and spin Drude weight of the one-dimensional extended Hubbard model at quarter-filling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-172374