d-Wave Pairing Correlation in the Two-Dimensionalt−JModel

The pair-pair correlation function of the two-dimensional $t-J$ model is studied by using the power-Lanczos method under the assumption of monotonic behavior. In comparison with the results of the ideal Fermi gas, we conclude that the 2D $t-J$ model does not have long-range $d$-wave superconducting correlation in the interesting parameter range of $J/t\le 0.5$. Implications of this result are also discussed.