Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1997-11-18
Physics
Condensed Matter
Strongly Correlated Electrons
19 pages (latex) including 7 figures in encapsulated postscript format. Submitted for publication in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.58.1845
We show numerically that the nature of the doping induced metal-insulator transition in the two-dimensional Hubbard model is radically altered by the inclusion of a term, $W$, which depends upon a square of a single-particle nearest-neighbor hopping. This result is reached by computing the localization length, $\xi_l$, in the insulating state. At finite values of $W$ we find results consistent with $\xi_l \sim | \mu - \mu_c|^{- 1/2} $ where $\mu_c$ is the critical chemical potential. In contrast, $\xi_l \sim | \mu - \mu_c|^{-1/4}$ for the Hubbard model. At finite values of $W$, the presented numerical results imply that doping the antiferromagnetic Mott insulator leads to a $d_{x^2 - y ^2}$ superconductor.
Assaad Fakher F.
Imada Masatoshi
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