The temperature dependence of the homogeneous linewidth of optical transiti
ons in a single semiconductor quantum dot (QD) due to temperature fluctuati
ons is calculated. Since the temperature fluctuations are inversely proport
ional to the considered volume and the QD volume is very small, the tempera
ture of a QD and therefore its energy states are not well defined. Therefor
e, the emission and absorption spectra are homogeneously broadened. The bro
adening is calculated for simplified cuboid-like electron and hole wavefunc
tions assuming spatially constant material parameters. The linewidth is str
ongly dependent on temperature and volume of the QD, whereas the shape of t
he wavefunction is less important. For cubic In0.5Ga0.5As QDs with volume (
5 nm)(3), the broadening is similar to 10 mu eV below 100 K and reaches sim
ilar to1.4 meV at room temperature.