Abstract
We investigate the two-dimensional Hubbard model as a model for cuprate high-temperature superconductors. The Coulomb interaction is a candidate that can bring about high-temperature superconductivity because its characteristic energy is of the order of eV. It is not clear and not trivial whether the on-site Coulomb interaction leads to a pairing interaction between two electrons. We argue that high-temperature superconductivity is possible in the strongly correlated region, where U is greater than the bandwidth, by using the variational Monte Carlo method for two-dimensional electronic models. We use the wave functions that include electron correlation beyond the Gutzwiller ansatz.
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