Detection of pairing correlation in the two-dimensional Hubbard model

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', $⟨{\tilde{c}}_{i\uparrow }{\tilde{c}}_{i^{\prime }\downarrow }$ with ${\tilde{c}}_{i\sigma }\equiv c_{i\sigma }(1-n_{i-\sigma })$, 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.

3 pages, revtex, 6 figures available on request from [email protected]

References in corpus (2)

• Indications of d_{x^2 - y^2} Superconductivity in the Two Dimensional t-J Model
• Quantum Monte Carlo evidence for superconductivity in the three-band Hubbard model in two dimensions

Cited by in corpus (4)

• Ground state of the three-band Hubbard model
• Enhancement of the d_{x^2-y^2} pairing correlation in the two-dimensional Hubbard model: a quantum Monte Carlo study
• d_{x^2-y^2} pairing of composite excitations in the 2D Hubbard model
• Nucleus polarizability contribution to the hydrogen-deuterium isotope shift