Separation Method of Hole Trapping and Interface Trap Generation
and Their Roles in NBTI Reaction-Diffusion Model
J. H. Lee
1
, W. H. Wu
1
, A. E. Islam
2
, M. A. Alam
2
, and A. S. Oates
1
1
Taiwan Semiconductor Manufacturing Company. Ltd., Hsinchu, Taiwan
2
School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USA
INTRODUCTION
NBTI is one of the most critical reliability problems in advanced
CMOS technologies. Its characterization has been corrupted by
recovery effect due to the switching and measurement delays [1,2].
In order to eliminate this recovery effect, many different fast I
d
-V
g
techniques have been developed, including the on-the-fly I
d,lin
[1-3]
and pulse I
d
-V
g
[4,5]. However, inconsistent NBTI results and hole
trapping model were obtained when performing these fast I
d
-V
g
techniques [3-5]. In this paper, we (1) propose a separation method
of hole trapping from the measured V
t
shift, (2) study the voltage and
temperature dependency of hole trapping and interface trap
generation, (3) demonstrate the three significant stages of interface
trap generation in analytical H-H
2
NBTI Reaction-Diffusion model,
and (4) clarify the influence of hole trapping on device lifetime
extrapolation.
EXPERIMENTS
PMOS devices with plasma nitrided oxide SiON (EOT ~ 12Å)
were fabricated using advanced CMOS process technology. The
delay time of NBTI stress-measure-stress technique was reduced
to as short as 1.26 ms by using Keithley 2600 series high speed
Source-Measure-Units, thus providing the timing-on-the-fly
NBTI characteristics minimizing recovery effect.
RESULTS AND DISCUSSION
Separation Method of V
h
and V
it
Fig. 1 shows V
t
as a function of stress time with various delay
times ranging from 1.26 to 420 ms. It seems that V
t
magnitude and
time exponent vary with the delay time even under the same stress
conditions. This controversy can be addressed by proposing the V
t
is a combination of hole trapping V
h
and interface trap generation
V
it
where the V
h
is highly modulated by the delay time. In
addition, we found the difference between every two V
t
curves in
Fig. 1 is a constant during the stress (Fig. 2), presumably due to the
difference of two hole trapping levels. Based on the hole trapping/de-
trapping model [6-8], V
h
should saturate rapidly and keep constant
during the stress time. Therefore, the initial V
t
measured at very
short stress time could be regarded as V
h
(Fig. 3), and the
contribution of interface traps to overall Vt shift without involving
hole trapping could be obtained by subtracting the initial degradation
magnitude from whole time evolution curve, as shown in Fig. 3.
Since V
h
of 1.26 ms delay could be defined as V
t
at very short
stress time, we could obtain each V
h
corresponding to various
delays because hole trapping differences between every two delays
have been given (Fig. 2). After correcting both hole trapping and
recovery effect, the V
it
curves of various delays overlap together
(Fig. 4) and exhibit the ideal time exponent of 1/6 in the classical
NBTI reaction-diffusion model. Thus, we may conclude the debate
on the various time exponents observed by many research groups
results from the interferences from hole trapping and recovery effect
in different delay time (Fig. 5).
Voltage Dependence of V
h
and V
it
Fig. 6 shows time evolution of V
t
, having delay ~ 1.26 ms and n
~ 0.12. After subtracting hole trapping, as shown in Fig. 7, the time
exponents vary from 1 to 1/6 and V
it
goes through three different
stages as proposed in analytical NBTI Reaction-Diffusion model [7-
8]. Within very short stress time, the analytical reaction-limited
solution suggests n ~ 1. During intermediate stress time, the atomic
hydrogen released from interface is being converted to molecular H
2
,
and gives a time exponent of 1/3. For long-term, neutral H
2
diffusion
becomes the dominant mechanism of interface trap that limits
degradation rate (n ~ 1/6). Fig. 8 plots voltage dependent V
h
, which
is in qualitative agreement with the voltage dependency of trapping
model [8]. As V
h
increases with increase in stress voltage, it affects
the device lifetime significantly at higher stress voltage (Fig. 9)
compared to that at lower stress bias. It is noticed that the
extrapolation without eliminating contribution of hole trapping
significantly overestimates device lifetime at operation voltage.
Temperature Dependence of V
h
and V
it
Fig. 10 (a) and (b) plot the temperature dependent of ( V
it
+ V
h
)
measured by timing on-the-fly with delay ~ 1.26 ms and V
it
only,
respectively. Fig. 11 shows the activation energies of V
it
and V
h
.
Ea for V
it
(0.109eV) are in good agreement with activation values
of interface trap reported in literatures [2,6]. On the contrary, hole
trapping reveals much less temperature sensitivity (Ea ~ 0.04eV)
than that of interface trap, also consistent with literature [9]. Fig. 10
(b) also indicates that not only the interface trap at long-term, but
also at intermediate stress time are affected by temperature, as
expected within R-D framework [7,8]. Thus the temperature
dependence of V
it
suggests temperature activation for H
2
diffusion
(governing at long-term) and H-H
2
conversion (dominating at
intermediate stress time) are temperature activated.
CONCLUSIONS
In this study, we propose a systematic method to separate the hole
trapping from measured V
t
shift, thus giving the ideal interface trap
generation behavior without measurement disturbance. Three stages
of interface trap generation have been illustrated with the analytical
H-H
2
NBTI reaction-diffusion model, and the hole trapping has also
been verified with its voltage-enhanced and temperature-insensitive
properties. Finally, the lifetime extrapolation without considering the
hole trapping might lead to significant lifetime overestimation.
REFERENCES
[1] S. Rangan et al., IEDM 2003, p. 341. [2] D. Varghese et al.,
IEDM 2005, p. 684. [3] M. Denais et al., IEDM 2004, p. 109. [4] H.
Reisinger et al., IRPS 2006, p. 448. [5] C. Shen et al., IEDM 2006, p.
337. [6] S. Mahapatra et al., IRPS 2007, p. 1. [7] H. Kufluoglu et al.,
TED, p. 1101, 2007. [8] A. E. Islam et al., TED, p. 2143, 2007., p.
273. [9] V. Huard et al., IRPS 2004, p. 40.
745
978-1-4244-2050-6/08/$25.00 ©2008 IEEE IEEE CFP08RPS-CDR 46
th
Annual International Reliability
Physics Symposium, Phoenix, 2008