Photoluminescence under intense excitation is studied in GaN. As the excita
tion density increases, we show the Mott transition between an excitonic re
combination to a plasma-type recombination. The carrier density at the Mott
transition is given. At and above the Mott density, we show that the carri
er temperature is higher than the lattice temperature. The energy relaxatio
n of the hot plasma is shown to be dominated by LO-phonon emission. Coulomb
screening and band-gap renormalization are observed from the photoluminesc
ence peak position and the measured renormalization factor is in good agree
ment with elementary many-body theory. Finally the dependence of the Mott d
ensity on carrier temperature is shown to follow a Debye-Huckel model. [S01
63-1829(99)10727-6].