Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-01-15
Phys. Rev. B70, 155102 (2004)
Physics
Condensed Matter
Strongly Correlated Electrons
7 pages, 8 figures,submitted to PRB
Scientific paper
10.1103/PhysRevB.70.155102
The one-dimensional extended Hubbard model with both the on-site $U$ and the nearest neighbor $V$ interactions at quarter filling is studied by using a novel finite size scaling. We diagonalize finite size systems numerically and calculate the Luttinger-liquid parameter $K_{\rho}$ which is substituted into the renormalization group equation as an initial condition. It leads $K_\rho$ in the infinite size system and the result agrees very well with the available exact result with $U=\infty$. This approach also yields the charge gap in the insulating state near the metal-insulator transition where the characteristic energy becomes exponentially small and the usual finite size scaling is not applicable.
Ono Yoshiaki
Sano Kazuhiro
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