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Superconductivity in the cuprates

C. D. Batista·A. A. Aligia
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Abstract

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.

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C. D. Batista, A. A. Aligia. 1994-06-30. Superconductivity in the cuprates. https://arxiv.org/abs/cond-mat/9406121

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