Does the Hubbard Model Show $d_{x^2-y^2}$ Superconductivity?

Details Does the Hubbard Model Show $d_{x^2-y^2}$ Superconductivity? Does the Hubbard Model Show $d_{x^2-y^2}$ Superconductivity?

1998-01-23

arxiv.org/abs/cond-mat/9801243v1

Phys. Rev. B58 (1998) 117

Physics

Condensed Matter

Strongly Correlated Electrons

Revtex, 10 pages, no figure

Scientific paper

10.1103/PhysRevB.58.117

It is rigorously shown that the two-dimensional Hubbard model with narrow bands (including next nearest-neighbor hopping, etc.) does not exhibit $d_{x^2 -y^2}$-wave pairing long-range order at any nonzero temperature. This kind of pairing long-range order will also be excluded at zero temperature if an excited energy gap opens in the charge excitation spectrum of the system. These results hold true for both repulsive and attractive Coulomb interactions and for any electron fillings, and are consistent with quantum Monto Carlo calculations.

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