We propose a new and promising technique to study quantum-size structu
res. In ultrathin monocrystalline PbTe films with thicknesses L = 6, 1
8, and 30 nm, we have examined this technique, based on two-photon opt
ical excitation of the renormalized electronic structure and revealed
a sharp dependence of frequencies of two-photon resonant transitions o
n L. We explained this result within the framework of a model taking i
nto account the real PbTe band structure, electron-electron and electr
on-phonon interactions, and interband and intraband redistribution of
free carriers. We have estimated the characteristic time of interband
polarization decay at T-2 greater than or equal to 300 fs and haved an
alyzed the transformation of the nonlinear response for the case L-->i
nfinity. (C) 1996 American Institute of Physics.