We evaluate numerically several superconducting correlation functions in a generalized $t-J$ model derived for hole-doped CuO $_2$ planes. The model includes a three-site term $t''$ similar to that obtained in the large $U$ limit of the Hubbard model but of opposite sign for realistic O-O hopping. For realistic parameters we obtain strong evidence of superconductivity of predominantly $d_{x^2-y^2}$ character. The ground state has a large overlap with a very simple resonating-valence-bond wave function with off-diagonal long-range order. This function reproduces the main features of the magnetic and superconducting correlation functions.We evaluate numerically several superconducting correlation functions in a generalized $t-J$ model derived for hole-doped CuO$_2$ planes. The model includes a three-site term $t''$ similar to that obtained in the large $U$ limit of the Hubbard model but of opposite sign for realistic O-O hopping. For realistic parameters we obtain strong evidence of superconductivity of predominantly $d_{x^2-y^2}$ character. The ground state has a large overlap with a very simple resonating-valence-bond wave function with off-diagonal long-range order. This function reproduces the main features of the magnetic and superconducting correlation functions.

arXiv:cond-mat/9406121Jun 30, 19940 citations

Superconductivity in the t-J model on the square lattice

Hong‐Chen Jiang, Zheng-Yu Weng, Steven Allan Kivelson

Bulletin of the American Physical SocietyMar 8, 20180 citations

Superconducting phases in the presence of Coulomb interaction: From weak to strong correlations

T. Domański, Karol Izydor Wysokiński

We study the evolution of the superconducting phases in a model with competing short-range attractive (W) and on-site repulsive (U) interactions. The influence of the correlations on the phase diagram of $s\ensuremath{-}$ and d-wave superconductors is studied by means of various approximations. The knowledge of the normal state correlation effects allows the tracking of the influence of U on the superconductivity in correlated systems. We have found the qualitatively different response of the superconducting phases in systems with $W<{U}_{\mathrm{cr}},$ when the system ceases to superconduct for large enough U, and in the limit of strong $W>{U}_{\mathrm{cr}},$ when the system remains superconducting for arbitrarily large U.We study the evolution of the superconducting phases in a model with competing short-range attractive (W) and on-site repulsive (U) interactions. The influence of the correlations on the phase diagram of $s\ensuremath{-}$ and d-wave superconductors is studied by means of various approximations. The knowledge of the normal state correlation effects allows the tracking of the influence of U on the superconductivity in correlated systems. We have found the qualitatively different response of the superconducting phases in systems with $W<{U}_{\mathrm{cr}},$ when the system ceases to superconduct for large enough U, and in the limit of strong $W>{U}_{\mathrm{cr}},$ when the system remains superconducting for arbitrarily large U.

Physical review. B, Condensed matterJan 1, 199915 citations

We evaluate numerically several superconducting correlation functions in a generalized

t-J

model derived for hole-doped CuO

_2

planes. The model includes a three-site term

t''

similar to that obtained in the large

U

limit of the Hubbard model but of opposite sign for realistic O-O hopping. For realistic parameters we obtain strong evidence of superconductivity of predominantly

d_{x^2-y^2}

character. The ground state has a large overlap with a very simple resonating-valence-bond wave function with off-diagonal long-range order. This function reproduces the main features of the magnetic and superconducting correlation functions.

W<{U}_{\mathrm{cr}},

when the system ceases to superconduct for large enough U, and in the limit of strong

W>{U}_{\mathrm{cr}},

when the system remains superconducting for arbitrarily large U.