| Using Cellular Dynamical Mean Field Theory with exact diagonalization as the impurity solver we study the superconducting state of the hole-doped two-dimensional Hubbard model. In the underdoped regime, the formalism leads to a natural decomposition of the photoemission energy-gap into two components. The first gap, stemming from the anomalous self-energy, dominates near the nodes and decreases with decreasing doping. The second gap has an additional contribution from the normal self-energy inherited from the normal-state pseudo-gap. It is dominant near the antinodes and increases as the Mott insulating phase is approached. |
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