Abstract
Luminescence spectra from high-density electron-hole ( e-h ) systems at zero temperature are studied. The calculated spectra clearly show the crossover between the e-h BCS state and the exciton Bose-Einstein condensate; this behavior analyzed neither with the BCS-like mean-field theory nor with the interacting Boson model. The strong phase fluctuation associated with the center-of-mass motion of e-h pairs is considered with the generalized random phase approximation combined with the Bethe-Salpeter equation for e-h pairs. The calculated spectra show that the broad spectral components from the e-h BCS state splits into P- and P 2 -lines with decreasing e-h density. The calculated density dependence of the band-gap renormalization excellently agrees with experiments for CuCl and ZnO.
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