additional line at the low energy side of I
0
and I
1
in an applied magnetic field. In the case of
I
0
this component is superimposed by the I
1
bound exciton transition. Without an applied
magnetic the lines are not visible (see Figure 6.8). The extrapolation of the position of the
low energy Zeeman component to B ¼0 Tesla reveals the presence of a zero field splitting.
This is strong evidence for ionized donor bound excitons.
[31]
Additionally, one does not
observe a linear splitting in Voigt configuration as would be expected for a neutral bound
exciton. Therefore, there is convincing evidence that I
0
to I
2
are caused by ionized donor
bound exciton recombinations.
In Figure 6.6 the localization energies of the ionized and neutral donor bound excitons
as a function of the donor binding energy are presented. Two aspects are remarkable: The
localization energy E
L
has a linear dependence on the donor binding energy E
D
for both
neutral and ionized bound excitons, although with a different slope, and for donor binding
energies of E
D
G 47 meV, excitons will not be bound to the ionized donors.
The shallow donor impurities in ZnO seem to be of extrinsic origin, hydrogen,
aluminum, gallium and indium in order of increasing binding energy. However, for many
years it was common sense that intrinsic defects dominate the n-type conductivity of
ZnO.
[32,33]
Interstitial zinc and oxygen vacancies were the natural choice. Interstitial zinc
as well as oxygen vacancies should be double donors, and in order to contribute to the
n-type conduction they should have shallow levels, and low formation energies to be
abundant. Theoretical calculations predict indeed that the oxygen vacancies are the main
intrinsic defects in zinc-rich ZnO whereas Zn
i
have higher formation energies, i.e. are less
abundant.
[34]
However, the oxygen vacancy theory predicts a negative-U behavior with a
transition from the neutral to the twofold positive charge state around E
VB
þ0.5 eV, i.e. the
vacancy does not induce a shallow level.
[34]
From electrical measurements (Hall, DLTS, admittance spectroscopy) on various ZnO
single crystals from different sources as well as on epitaxial films there is general consensus
that apart from the shallow donor a deep donor state exists which is located around
130 20 meV below the conduction band. Its concentration falls into the 10
16
cm
3
range
thus being relevant for the conductivity as well as for the compensation of acceptors.
[35–40]
The Zn interstitial is a double donor in ZnO. It should exist in three charge states, 2þ, þ,
and 0, and thus have two energy levels in the gap. If we assume the level at E
C
130 meV
is the 2þ/þ level of the zinc interstitial the transition þ/0 would fall in the range where the
binding energies of the extrinsic shallow donors are i.e. from 46 to 53 meV. Look et al.
[41]
reported on Hall effect measurements of electron irradiated ZnO. They concluded with the
presence of a native donor in ZnO whose binding energy would be around 35 meV.
In Figure 6.9 we compare three films grown under different Zn/O ratios.
[42]
In the film
grown (# 1) under oxygen-deficient conditions the prominent recombination occurs at
3.366 eV (in Reynolds et al.
[15]
and Meyer et al.
[17]
named I
3a
). It has comparable intensity
as the neutral donor bound exciton recombinatio n with Ga as shallow donor (I
8
at
3.359 eV). For sample # 1 the additional NO
2
flux was 100 sccm, for # 2 it was 200 sccm
and for # 3 it was 300 sccm. One notes that with increasing NO
2
flux the I
3a
recombination
decreases in intensity more and more. Finally, for the sample # 3 the neutral donor bound
exciton recombination I
8
is the main radiative excitonic recombination. In sample # 3 the
I
8
recombination is shifted to lower energy by 0.7 meV, it is connected to a change in the c-
lattice constant as revealed by X-ray diffraction measurements. Also the line width
increased which is consistent with the findings in Ko et al.
[43]
When a film grown under
Zn-rich conditions was annealed in an O
2
atmosphere at high temperatures e.g. T ¼900
C
Optical Spectroscopy 143