Negative Bias Temperature Instability Lifetime Prediction: Problems and Solutions
Z. Ji
(1)
, S. F. W. M. Hatta
(1)
, J. F. Zhang
(1)
, J. G. Ma
(1)
, W. Zhang
(1)
, N. Soin
(2)
,
B. Kaczer
(3)
, S. De Gendt
(3)
, and G. Groeseneken
(3)
(1)
School of Engineering, Liverpool John Moores University, Byrom Street, Liverpool L3 3AF, UK
(2)
Dept. Elec. Eng, University of Malaya, Malaysia
(3)
IMEC, Leuven B3001, Belgium
Abstract
Lifetime of pMOSFETs is limited by NBTI. Conventional
slow measurement overestimates lifetime due to recovery.
The fast techniques suppress recovery, but cannot give
reliable prediction. This work proposes a new lifetime
prediction technique that overcomes the shortcomings of both
slow and fast methods, based on the A s-grown-G eneration
(AG) model. Its advantages over those based on Reaction-
Diffusion (RD) and two-stage models include its simple
algorithm, only two fitting parameters at a given temperature,
and no need for a kinetic model for the as-grown hole traps.
This makes it readily implementable in industrial laboratories
for process screening.
Introduction
NBTI is a critical reliability issue for advanced CMOS
technology [1-15]. Manufacturers are using NBTI lifetime,
i.e. τ, as one of the criteria for determining the operation
voltage and a figure-of-merit for process screening [1]. The
conventional τ prediction is based on slow measurements that
only capture part of the degradation due to the recovery [2-6].
For VLSI circuits, one cannot rule out that some gates rarely
flip with little recovery. Fast techniques were used to
suppress recovery [2-7], but there is no industry-wide
accepted τ prediction technique based on them, because of
the problems detailed below. The objective of this work is to
propose a new technique for reliably predicting the worst-
case lifetime and the maximum operation voltage.
Results and Discussions
A. Problems with prediction based on fast measurements
After suppressing recovery, one would expect that the larger
degradation shortens τ. It was reported, however, that the
extracted τ can be either similar (Fig. 1a) [6] or even longer
(Fig. 1b) [2]. This cannot be true. Moreover, τ prediction
requires extrapolation from high stress Vg_st to low
operational Vg_op. After suppressing recovery, log(τ) versus
log(|Vg_st|) does not always follow a straight line (Figs.
1c&d) [7], making the extrapolation unreliable. Since a
reliable prediction is not available without recovery, some
researchers [8] purposely inserted a delay between stress and
measurement to give a level of recovery. It is not known,
however, what level of recovery should be used.
B. Two groups of defects
NBTI consists of two group of defects: as-grown hole traps
(AHT) and generated defects (GD) [9-15]. Fig. 2 shows that,
instead of following a power-law, the degradation saturates
quickly at short time (symbol ‘□’) [5]. This is a signature of
AHT being filled up. Once the AHTs are removed from the
total degradation, the remaining part follows a power-law
well (symbol ‘●’), which is a feature of generated defects
(GD). As a result, the NBTI kinetics under a given stress
temperature can be described by an ‘AG’ model [5]:
ΔVt=A+Gt
n
,
where ‘A’ and ‘Gt
n
’ represent ΔVt(AHT) and ΔVt(GD), the
contribution from AHT and GD to NBTI, respectively. ‘A’
will be experimentally determined, so that it does not need a
model. ‘G’ and ‘n’ are the only two fitting parameters.
C. New method for extracting AHT
To reliably predict τ, GD and AHT must be separated. The
clear separation and the ‘shoulder’ in Fig. 2 are not always
present, so that it cannot be used as a general method for the
separation and a new method is needed. Fig. 3a gives the Vg
waveform. After stress under Vg_st for a pre-specified time,
Vg was stepped towards positive to Vg_op1 to discharge and
∆Vt is monitored (Fig. 3b) during the pulse edges (3 µs) at
Id=100nA*W/L. After completing discharge at Vg_op1, Vg
was stepped to Vg_op2 and the same procedure is followed
until Vg reaches certain pre-defined level [10]. The Vg_st
then was re-applied.
Fig. 4 shows ΔVt discharged at each Vg_op after stressed
for different time. The Vg_op was converted to Ef-Ev at the
interface by following the procedure described in [10]. It is
clear that below E(AHT=0), the AHTs are fully filled after
only 1 sec, since they do not increase further with stress time.
This is confirmed by the parallel shift of the three curves,
supporting their “as-grown” nature [9-15]. Above E(AHT=0),
defects are negligible at 1 sec but increase with stress time,
indicating that they are generated defects (GD).
To separate ∆Vt(AHT) from ∆Vt(GD), Vg_op(AHT=0)
corresponding to E(AHT=0) was first found by stressing the
device for 1 sec as shown in Fig. 4. The device was then
stressed for longer time and for each stress time, ΔVt was
monitored after discharging at different Vg_op until
Vg_op(AHT=0) was reached, as shown in Fig. 5a. Since
∆Vt(AHT)=0 here, ΔVt at Vg_op(AHT=0) (‘●’ in Fig. 5a)
can originate only from GD, allowing the extraction of
ΔVt(GD), which follows a power law well [5,16]. A more
negative Vg_op lowers Ef-Ev below E(AHT=0), charging
some AHTs, so that ΔVt(AHT) can be evaluated from
ΔVt(Vg_op)-ΔVt(GD).
If the separation method is correct, one expects that
|ΔVt(AHT)| should only depend on |Vg_op|, but not stress
time, when the stress time is long enough to fill up the AHTs.
Fig. 5b confirms |ΔVt(AHT)| rising with |Vg_op|, but not
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