A phonon-roton dispersion relation is proposed for the elementary excitatio
ns of a quantum biexcitonic liquid in semiconductors. The proposed dispersi
on relation is used as a starting point for a calculation of the photolumin
escence spectrum of the liquid and an analysis of its behavior under variat
ion of temperature and density of the biexcitonic liquid. The parameters of
the dispersion curve of elementary excitations of the quantum biexcitonic
liquid are evaluated by fitting the calculated photoluminescence spectrum t
o the experimental spectrum of the biexcitonic liquid of semiconducting bet
a -ZnP2 crystals. Experimental studies of how the photoluminescence spectru
m of a biexcitonic liquid in beta -ZnP2 depends on the temperature and the
intensity of the laser excitation confirm the initial theoretical model. Th
e dependence of the temperature of the crystals on the excitation intensity
is measured, and for some of the samples an anomalous dependence is found:
the temperature of the crystal decreases as the excitation intensity incre
ases. This effect is probably a consequence of the giant thermal conductivi
ty of the superfluid biexcitonic liquid in beta -ZnP2 crystals. (C) 2001 Am
erican Institute of Physics.