Ultra-fast short-time NBTI stress and relaxation measurements from the to
the seconds regime using different temperatures, stress voltages, and oxide
thicknesses have been performed. A large dataset is examined here using well
defined extraction parameters (
,
, and
). Amongst them
the reference time
is identified as the most crucial one. It can be
seen that depending on the range used for the data extraction (
) the
reference time
is also changed. While a settled gate pulse, i.e. a
small
, does not contain the full degradation and relaxation data and
may therefore indicate a wrong distribution of time constants, too broad
limits of
may produce spurious relaxation transients due to a limited
resolution of smaller than
. Comparing the different gate voltage
criteria taken for the OTF routine yields that choosing a rather large
reflects the completely different fast-
measurement method
best.
In the initial degradation phase, which is often explained by elastic
hole trapping, the data can be well fit by a logarithmic time dependence
[15, 12, 42]. As this log-dependence is considerably distorted during
long-term measurements, alternatively a power-law using an exponent
considerably smaller () than generally observed during long-time stress
(
) can be used. However, the main disadvantage of the power-law
is that the fit is ill defined for up to medium stress conditions. Only
high temperatures and/or high
show the aforementioned small
.
Moreover, the extracted activation energy of about is compatible with
the values typically obtained during long-time stress [106]. The temperature and
voltage dependencies of stress and relaxation rule out elastic and thus
temperature-independent hole tunneling as being responsible for short-time
NBTI degradation as proposed by [94, 104]. A possible explanation could involve
an inelastic tunneling process [98].