A variational ground state of the repulsive Hubbard model on a square lattice is investigated numerically for an intermediate coupling strength $(U=8t)$ and for moderate sizes (from 6×6 to 10×10). Our ansatz is superior to other widely used variational wave functions. The results for order parameters and correlation functions provide insight into the antiferromagnetic state at half-filling as well as strong evidence for a superconducting phase away from half-filling.
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Eichenberger et al. (2007) studied this question.
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