Crossover between the Dense Electron-Hole Phase and the BCS Excitonic Phase in Quantum Dots

Abstract

Second order perturbation theory and a Lipkin-Nogami scheme combined with an exact Monte Carlo projection after variation are applied to compute the ground-state energy of $6\le N\le 210$ electron-hole pairs confined in a parabolic two-dimensional quantum dot. The energy shows nice scaling properties as N or the confinement strength is varied. A crossover from the high-density electron-hole phase to the BCS excitonic phase is found at a density which is roughly four times the close-packing density of excitons.

Improved variational and projection calculations. 17 pages, 3 ps figures. Accepted for publication in Int. J. Mod. Phys. B

References in corpus (4)

• Multi-Exciton Spectroscopy of a Single Self Assembled Quantum Dot
• A Density Matrix Renormalization Group Study of Ultrasmall Superconducting Grains
• Ground-state energy of confined charged bosons in two dimensions
• Pade approximants for the ground-state energy of closed-shell quantum dots

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• Small excitonic complexes in a disk-shaped quantum dot