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The BCS-BEC crossover within the two-dimensional attractive Hubbard model isstudied by using the Cellular Dynamical Mean-Field Theory both in the normaland superconducting ground states. Short-range spatial correlationsincorporated in this theory remove the normal-state quasiparticle peak and thefirst-order transition found in the Dynamical Mean-Field Theory, rendering thenormal state crossover smooth. For $U$ smaller than the bandwidth, pairing isdriven by the potential energy, while in the opposite case it is driven by thekinetic energy, resembling a recent optical conductivity experiment incuprates. Phase coherence leads to the appearance of a collective Bogoliubovmode in the density-density correlation function and to the sharpening of thespectral function.Comment: 5 pages, 4 figure

physical review. b, condensed matter and materials physics

Potential-energy-driven (BCS) to kinetic-energy-driven (BEC) pairing in the two-dimensional attractive Hubbard model: Cellular dynamical mean-field theory