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Second order perturbation theory and a Lipkin-Nogami scheme combined with anexact Monte Carlo projection after variation are applied to compute theground-state energy of $6\le N\le 210$ electron-hole pairs confined in aparabolic two-dimensional quantum dot. The energy shows nice scaling propertiesas N or the confinement strength is varied. A crossover from the high-densityelectron-hole phase to the BCS excitonic phase is found at a density which isroughly four times the close-packing density of excitons.Comment: Improved variational and projection calculations. 17 pages, 3 ps  figures. Accepted for publication in Int. J. Mod. Phys.

CROSSOVER BETWEEN THE ELECTRON–HOLE PHASE AND THE BCS EXCITONIC PHASE IN QUANTUM DOTS