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The SiO2
TDDB Process
Previous
studies have shown that SiO2 Time-Dependent
Dielectric Breakdown (TDDB) is a charge injection mechanism, the process of
which may be divided into 2 stages - the build-up stage and the runaway
stage.
During the
build-up stage,
charges invariably get trapped in various parts of the oxide as current
flows in the oxide. The trapped charges increase in number with time,
forming high electric fields (electric field = voltage/oxide thickness)
and high current regions along the way. This process of electric
field build-up continues until the runaway stage is reached.
During the
runaway stage,
the sum of the electric field built up by charge injection and the
electric fields applied to the device exceeds the dielectric breakdown
threshold in some of the weakest points of the dielectric. These points
start conducting large currents that further heat up the dielectric,
which further increases the current flow. This positive feedback
loop eventually results in electrical and thermal runaway, destroying
the oxide in the end. The runaway stage happens in a very short
period of time.
The presence
of defects in the dielectric greatly reduces the time needed to
transition from the build-up to the runaway stage. These defects
actually have the effect of 'thinning' down the oxide where they are
located, since they are occupying space that should have been occupied
by the dielectric. The effective electric field is higher in these
thinned-out areas compared to defect-free areas for any given voltage.
This is why it takes a lower voltage and shorter time to break down the
dielectric at its defect points.
There are
many lifetime equations used in the industry today to model the
reliability of an oxide layer. One of the simplest, however, can
be seen in
www.semicon.toshiba.co.jp. According to
this site, TDDB may be modelled by:
Tf =
Ae(-BV)
where:
Tf = the time to failure;
A = a
constant;
V
= the voltage applied
across the dielectric layer; and
B
=
a voltage acceleration constant that depends on the properties of the
oxide.
Numerous
studies have shown that oxide breakdown is accelerated not just by the
voltage applied across the oxide, but by elevated temperature as well.
Thus, the tendency of a lot to fail by oxide breakdown is usually assessed
by burn-in, which
subjects the samples to both electrical and thermal stresses.
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See
Also:
Dielectric;
Die Failures; Failure Analysis;
Reliability Models
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