The d-wave pair-pair correlation of the two-dimensional Hubbard model is investigated by the power-Lanczos method. A Jastrow-BCS type wave function is used in our variational study. By assuming a monotonic behavior of the long-range pairing correlation under Lanczos iteration, we found there is no long-range pairing order in the intermediate interaction region (U ≃ 10), which is consistent with the former result by the constrained-path Monte Carlo method. We also present numerical results obtained by the exact diagonalization of the 4×4 lattice in supporting our conclusion. PACS numbers: 74.20.-z, 71.18.+y I.The d-wave pair-pair correlation of the two-dimensional Hubbard model is investigated by the power-Lanczos method. A Jastrow-BCS type wave function is used in our variational study. By assuming a monotonic behavior of the long-range pairing correlation under Lanczos iteration, we found there is no long-range pairing order in the intermediate interaction region (U ≃ 10), which is consistent with the former result by the constrained-path Monte Carlo method. We also present numerical results obtained by the exact diagonalization of the 4×4 lattice in supporting our conclusion. PACS numbers: 74.20.-z, 71.18.+y I.

Chinese Journal of PhysicsJun 1, 20052 citations

On the nature of pairing in the two-dimensional t–J model

Thomas Maier

Physica B Condensed MatterFeb 15, 20058 citations

Pairing correlations for the 1 dimensional tJ model

Thomas Pruschke, Hiroyuki Shiba

Physica C SuperconductivityDec 1, 19911 citation

Numerical Study of the Pairing Correlation of the t-J Type Models

Chi-Tin Shih, Y. C. Chen, T. K. Lee

We reported that the pair-pair correlation function of the two-dimensional t-J model does not have long-range d-wave superconducting correlations in the interesting parameter range of $J/t \leq 0.5$ . The power-Lanczos method is used under the assumption of monotonic behavior. This assumption has been well checked in the two-dimensional t-J and attractive Hubbard model. Here we re-examine this criterion of monotonic behavior of the pairing correlation function for the one-dimensional and two-leg t-J ladder where other accurate numerical results are available. The method seems to be working well.We reported that the pair-pair correlation function of the two-dimensional t-J model does not have long-range d-wave superconducting correlations in the interesting parameter range of $J/t \leq 0.5$. The power-Lanczos method is used under the assumption of monotonic behavior. This assumption has been well checked in the two-dimensional t-J and attractive Hubbard model. Here we re-examine this criterion of monotonic behavior of the pairing correlation function for the one-dimensional and two-leg t-J ladder where other accurate numerical results are available. The method seems to be working well.

arXiv:cond-mat/9910107Chinese Journal of PhysicsOct 7, 19990 citations

Spin Fluctuation Pairing in the t-J Model

Nikolay M. Plakida, V. S. Oudovenko

Springer eBooksJan 1, 19991 citation

We reported that the pair-pair correlation function of the two-dimensional t-J model does not have long-range d-wave superconducting correlations in the interesting parameter range of

J/t \leq 0.5

. The power-Lanczos method is used under the assumption of monotonic behavior. This assumption has been well checked in the two-dimensional t-J and attractive Hubbard model. Here we re-examine this criterion of monotonic behavior of the pairing correlation function for the one-dimensional and two-leg t-J ladder where other accurate numerical results are available. The method seems to be working well.