COMPARISON BETWEEN THE ELECTRONIC DIELECTRIC FUNCTIONS OF A GAAS ALASSUPERLATTICE AND ITS BULK COMPONENTS BY SPECTROSCOPIC ELLIPSOMETRY USING CORE LEVELS/
O. Gunther et al., COMPARISON BETWEEN THE ELECTRONIC DIELECTRIC FUNCTIONS OF A GAAS ALASSUPERLATTICE AND ITS BULK COMPONENTS BY SPECTROSCOPIC ELLIPSOMETRY USING CORE LEVELS/, Physical review. B, Condensed matter, 52(4), 1995, pp. 2599-2609
The dielectric functions of a GaAs/AlAs superlattice (SL) as well as i
t its bulk constituents GaAs and AlAs were determined at T = 90 K by m
eans of spectroscopic ellipsometry with rotating analyzer using synchr
otron radiation in the photon-energy range between 3 less than or equa
l to HBAR omega less than or equal to 25 eV. This broad spectral range
gives access to excitations from the Ga 3d core levels lying approxim
ately 20 eV below the conduction-band minimum. These levels are atomic
like with virtually no dispersion throughout the Brillouin zone (BZ).
They can thus be used as an energy reference to investigate confinemen
t effects and level splittings on interband transitions in heterostruc
tures compared to their bulk counterparts. The samples were grown by m
olecular-beam epitaxy and maintained under ultrahigh vacuum conditions
from growth to measurement, avoiding the effects of cap or oxide laye
rs, especially for AlAs. The investigation concerns transitions at L-
and X-related points in the BZ which is tetragonal in the case of the
SL and face-centered-cubic for the bulk samples. For the latter it is
found that the L-related E(1) structure consists of two spin-orbit-spl
it groups of three transitions. For a (GaAs)(m)(AlAs)(n)SL with m = 9,
n = 7 these two groups are blueshifted by about 200 meV compared with
GaAs due to confinement effects. Similar shifts are not observed for
transitions from the Ga 3d levels to the conduction-band valleys. Ther
efore, the confinement acts on the highest valence bands. The major pa
rt of the SL E(1)' structure is AlAs-like, but the minor one moves to
higher energies by 165 and 80 meV compared to AlAs and GaAs, respectiv
ely. Since the two parts of the E(1)' structure exhibit a different co
nfinement behavior, they cannot have a common origin in k space. The a
nalysis of X-related E(2) structures exhibits a blueshift for the SL t
ransitions by about 55 meV compared with AlAs which is consistent with
a confinement effect on the lowest conduction band. In correspondence
to previous theoretical work a transition above the E(2) critical poi
nt is found which was attributed to a SL specific transition due to th
e BZ folding. The comparison with the results for the bulk samples sug
gests a relation to the E(2)(P-2) critical point. Beyond that, an anal
ysis of the interband transition line shapes reveals for ah E(1),E(1)'
structures, and the AlAs-E(2) one, that a modified Lorentzian profile
indicating final-state interaction is more appropriate than two- or t
hree-dimensional critical-point line shapes. This points to deviation
from the one-electron band-structure picture even for transitions far
above the fundamental absorption edge.