On the basis of lattice relaxation due to the electron acoustic phonon coup
ling, we theoretically analyze the homogeneous optical linewidths of a sing
le quantum dot. The calculated result based on a nonstrong-coupling approxi
mation shows that in a considerable range of temperatures the homogeneous l
inewidth can be expressed in terms of Gamma(h) = Gamma(0) + AT, and the siz
e dependence is characterized by Gamma(0) proportional to 1/R and A proport
ional to 1/R-2, where T is the temperature and R is the quantum dot radius.
While this result qualitatively agrees well with the available experiments
on exciton dephasing; it straightforwardly implies the infrared optical pr
operties due to intraband transitions with transition energy around 100 meV
.