Doping induced metal-insulator transition in two-dimensional Hubbard, $t-U$, and extended Hubbard, $t-U-W$, models

Abstract

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.

19 pages (latex) including 7 figures in encapsulated postscript format. Submitted for publication in Phys. Rev. B

References in corpus (2)

• Superconductivity-Induced Anomalies in the Spin Excitation Spectra of Underdoped YBa_2 Cu_3 O_{6+x}
• Charge and Spin Structures of a $d_{x^2-y^2}$ Superconductor in the Proximity of an Antiferromagnetic Mott Insulator

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