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We compute the superconducting condensation energies Econd of Hg1201 andTl2201 cuprates by applying the variational Monte Carlo method to thetwo-dimensional Hubbard model, first, with the specific band parameters t' =-2t" = -0.25t appropriate for these highest-Tc single-CuO2-layer cuprates; t,t' and t" are the first-, second- and third-neighbor transfer energies,respectively. In the range of on-site Coulomb energy U of (7\sim10)t withoptimal doping, we succeed in obtaining the bulk-limit Econd values byextrapolating the results. They sharply increase with increasing U and becomecomparable to experimental values when U \approx 9t. Next, Econd values at t' =-2t" = -0.18t demonstrate that with a fixed U the bulk-limit Econd quicklyincreases with a decrease in |t'| = 2t" in the large-|t'| region. Finally, weargue that the remoteness of the apex oxygen from the planar Cu in the twocuprates is considered to increase U and bring about the experimental magnitudeof Econd. The present scheme explains the observed correlation between Tc andt' among cuprates.

Superconducting Condensation Energy of the Two-Dimensional Hubbard Model in the Large-Negative-t' Region