The energy shifts of optical interband transition edges,
E'0, E1, E1+Δ1 and E2, of relaxed
Si1-xGex alloys grown epitaxially on Si(001) substrates
by molecular beam epitaxy have been studied as a function of Ge
composition using their complex dielectric functions measured by
spectroscopic ellipsometry at room temperature. The interband
transition edges were resolved by a line shape fitting on the
numerical second derivative spectra of the dielectric functions.
The E'0, E1, E1+Δ1 and E2(Σ) edges are found to shift to lower energies with
increasing Ge composition while the E2(X) edge shifts to
higher energies. Also it is found for E1 and
E1+Δ1 energies that downward bowing exists and
for Δ1 energy that upward bowing exists. These
behaviours of the transition edges are understood by comparing the
band structure of Si with that of Ge and interpreted as due to the
effect of the random potential originated by alloying disorder.
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