We point out that in the limit of an infinitely strong intraatomic Coulomb repulsion ($U\ensuremath{\rightarrow}\ensuremath{\infty}$), the magnetic behavior of a class of extended Hubbard-model chains is always given by the Curie law.

Physical review. B, Solid stateMay 1, 19764 citations

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Thermodynamic properties of extended Hubbard model with strong intraatomic attraction and arbitrary electron density

S. Robaszkiewicz, R. Micnas, K. A. Chao

Published Apr 1, 1980• 0 citations

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The eigenvalue problem of the two-site and three-site extended Hubbard Hamiltonian, which contains the intraatomic repulsion

U

, the nearest-neighbor repulsion

V

, the isotropic exchange

J

, the anisotropic exchange ${J}^{\ensuremath{'}}$, the hopping term

t

, the semihopping term

S

, and the double hopping term

D

, has been solved exactly and the grand partition function is obtained. The magnetic and thermodynamic quantities such as the magnetic susceptibility and the specific heat are calculated for arbitrary electron density. Several features believed to have wider validity have been deduced from this cluster model.

V

in the one-dimensional extended Hubbard chain has been examined recently, its effect in the Hubbard model beyond the one-dimensional chain remains unclear. Here, we report a density matrix renormalization group study of the extended Hubbard model on long four-leg cylinders on the square lattice. We find that the near-neighbor electron attraction

V

can notably enhance the long-distance superconducting correlations while simultaneously suppressing the charge-density-wave (CDW) correlations. Specifically, for a modestly strong electron attraction, the superconducting correlations become dominant over the CDW correlations with a Luttinger exponent ${K}_{sc}\ensuremath{\sim}1$ and strong divergent superconducting susceptibility. Our results provide a promising way to realize long-range superconductivity in the doped Hubbard model. The relevance of our numerical results to cuprate materials is also discussed.