We show that for low and moderate fillings the ground state of the two-dimensional Hubbard model with positive-U and nearest-neighbor hopping is unstable with respect to d-wave pairing with dxy symmetry of the gap wave function: Δ∼sinkxsinky. The inclusion of the next-neighbor hopping may either suppress the pairing or change the symmetry of the superconducting state.

May 12, 20230 citations

d-wave Pairing in the Two-Dimensional Hubbard Model

Douglas J. Scalapino

Bulletin of the American Physical SocietyMar 14, 20060 citations

Physics Letters A

The pairing symmetries in the two-dimensional Hubbard model

Ke Liu, Shuhui Yang, Weiqi Li, Tao Ying, Jianqun Yang, Xiudong Sun, Xingji Li

Published Jan 8, 2021• 4 citations

Publisher

DOI: 10.1016/j.physleta.2021.127153

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We show that for low and moderate fillings the ground state of the two-dimensional Hubbard model with positive-U and nearest-neighbor hopping is unstable with respect to d-wave pairing with

{\mathit{d}}_{\mathit{x}\mathit{y}}

symmetry of the gap wave function: \ensuremath{\Delta}\ensuremath{\sim}sin

{\mathit{k}}_{\mathit{x}}

sin

{\mathit{k}}_{\mathit{y}}

. The inclusion of the next-neighbor hopping may either suppress the pairing or change the symmetry of the superconducting state.