Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-12-08
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 6 figures, uses jpsj.sty
Scientific paper
10.1143/JPSJ.69.1000
We study the Luttinger-liquid parameter $K_{\rho}$ of the Hubbard chain and the Hubbard ladder models by the ordinary perturbation method combined with the Luttinger-liquid relation. According to the Luttinger-liquid relation, the critical exponent $K_{\rho}$ is related to the charge susceptibility $\chi_c$ and the Drude weight D by $ K\sb{\rho}={1/2}(\pi \chi_c D)^{1/2}$. By calculating these quantities with the perturbation method, we obtain $K_{\rho}$ at the first-order analytically and up to the second-order numerically. We compare these results with results of the Bethe ansatz for the Hubbard chain and that of the numerical diagonalization for the Hubbard ladder. It shows that the perturbation calculation of $K_{\rho}$ is reliable in the weak coupling regime.
No associations
LandOfFree
Luttinger-liquid Parameter of Hubbard Chain and Hubbard Ladder 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 Luttinger-liquid Parameter of Hubbard Chain and Hubbard Ladder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Luttinger-liquid Parameter of Hubbard Chain and Hubbard Ladder will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-660412