Crossover of Superconducting Properties and Kinetic-Energy Gain in Two-Dimensional Hubbard Model

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Superconductivity in the Hubbard model on a square lattice near half filling is studied using an optimization (or correlated) variational Monte Carlo method. Second-order processes of a strong-coupling expansion are considered in wave functions beyond the Gutzwiller projection. Superconductivity of dx2y2-wave symmetry is widely stable, and exhibits a crossover around U=Uco∼12t from a BCS type to a new type. For U\\gtrsimUco (U\\lesssimUco), the energy gain in the superconducting state is derived from the kinetic (potential) energy. Condensation energy is large and ∝exp(−tJ) [tiny] on the strong [weak] coupling side of Uco. With reference to experiments on optical conductivity, cuprates belong to the strong-coupling regime.

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