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Pairing Correlations in the Two-Dimensional Hubbard Model

Shiwei Zhang·J. Carlson·J. E. Gubernatis
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Abstract

We present the results of a quantum Monte Carlo study of the extended $s$ and the $d_{x^2-y^2}$ pairing correlation functions for the two-dimensional Hubbard model, computed with the constrained-path method. For small lattice sizes and weak interactions, we find that the $d_{x^2-y^2}$ pairing correlations are stronger than the extended $s$ pairing correlations and are positive when the pair separation exceeds several lattice constants. As the system size or the interaction strength increases, the magnitude of the long-range part of both correlation functions vanishes.

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Shiwei Zhang, J. Carlson, J. E. Gubernatis. 1997-03-02. Pairing Correlations in the Two-Dimensional Hubbard Model. https://doi.org/10.1103/physrevlett.78.4486

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