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Detection of pairing correlation in the two-dimensional Hubbard model

Kazuhiko Kuroki·Hideo Aoki·Takashi Hotta·Yasutami Takada
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Abstract

Quantum Monte Carlo method is used to re-examine superconductivity in the single-band Hubbard model in two dimensions. Instead of the conventional pairing, we consider a `correlated pairing', $\langle \tilde{c}_{i\uparrow} \tilde{c}_{i'\downarrow} %\tilde{c}_{j'\downarrow}^\dagger \tilde{c}_{j \uparrow}^\dagger \rangle$ with $\tilde{c}_{iσ} \equiv c_{iσ}(1-n_{i-σ})$, which is inferred from the $t$-$J$ model, the strong-coupling limit of the Hubbard model. The pairing in the $d$-wave channel is found to possess both a divergence like $1/T$ in the pairing susceptibility and a growth of the ground-state pairing correlation with sample size, indicating an off-diagonal long-range order near (but not exactly at) half-filling.

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Kazuhiko Kuroki, Hideo Aoki, Takashi Hotta, Yasutami Takada. 1996-06-19. Detection of pairing correlation in the two-dimensional Hubbard model. https://doi.org/10.1103/physrevb.55.2764

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