A Comprehensive DC/AC Model for Ultra-Fast
NBTI in Deep EOT Scaled HKMG p-MOSFETs
N. Goel
1
, S. Mukhopadhyay
1
, N. Nanaware
1
, S. De
2
, R. K. Pandey
2
, K. V. R. M. Murali
2
and S. Mahapatra
1
**
1
Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai 400076, India
2
SRDC, IBM Bangalore 560045, India
(**Phone: +91-222-572-0408, Fax: +91-222-572-3707, Email: souvik@ee.iitb.ac.in)
Abstract— DC and AC NBTI in deep EOT scaled HKMG p-
MOSFETs with different IL (scaled to sub 2Å) are measured by
UF-MSM method with 10μs delay. A model with interface trap
generation (ΔV
IT-IL
) at Si/IL interface, hole trapping (ΔV
HT
) in IL
bulk and trap generation (ΔV
IT-HK
) linked to H passivated
Oxygen vacancy (Ov-H) defects in IL/HK interfacial transition
layer has been proposed. The existence of Ov defects and their
energy levels are verified using DFT simulation. The model can
successfully predict V
T
shift (ΔV
T
) during and after DC stress,
dependence on pulse duty cycle (PDC) and frequency (f) for AC
stress, and gate insulator process dependence with consistent set
of parameters. Impact of EOT scaling on DC and AC NBTI is
studied, and end-of-life degradation has been estimated.
Keywords- NBTI, HKMG, Ultrafast-MSM, interface trap
generation, Reaction-Diffusion model, hole trapping, Oxygen
vacancy, DCIV measurement, Flicker noise measurement, DFT
simulation.
I. INTRODUCTION
Negative Bias Temperature Instability (NBTI) is a serious
reliability issue for SiON and HKMG p-MOSFETs [1], [2]. It
results in temporal shift in device parameters like threshold
voltage (ΔV
T
), transconductance (Δg
m
), linear and saturation
drain current (ΔI
DLIN
, ΔI
DSAT
), drain-gate capacitance (ΔC
GD
)
etc [3]. NBTI recovery is a well-known phenomenon, which
results in several challenges for proper characterization and
modeling [4]. Recovery of NBTI reduces V
T
shift (ΔV
T
) and
other parameters for AC compared to DC stress [5], [6] and
hence is beneficial for switching logic circuits [7]. Note that
most recent NBTI studies on HKMG devices having scaled
EOT have been done using slower measurement methods [2],
[8], [9]. Since NBTI recovers after stress, Ultra-Fast Method
(UFM, ~μs delay) is necessary to obtain recovery artifact free
data. Ultrafast On-The-Fly (UF-OTF) is such a method that
doesn’t suffer from recovery artifacts [10], although it needs
mobility correction for correct estimation of ΔV
T
[11]. It also
cannot measure ΔV
T
recovery at low gate bias (V
G,REC
) at or
close to 0V. To overcome these limitations, Agilent B1530
based Ultra-Fast Measure-Stress-Measure (UF-MSM, ~10μs
delay) technique has been developed and recently used for
measuring DC and AC NBTI in HKMG p-MOSFETs [12],
[13], which is also used in this work. Note, it is important to
measure ΔV
T
during DC and AC NBTI stress with identical
measurement delay, to obtain correct AC/DC ratio for AC
pulses having different f and PDC values.
As recently reviewed [4], NBTI physical mechanism has
been a subject of much debate. In spite of irrefutable proof of
trap generation and recovery during and after NBTI stress in
SiON and HKMG p-MOSFETs [1], [4], [9], [13]-[20], some
authors proposed trapping-only models for predicting DC and
AC NBTI [21]-[23], which has no physical justification. The
model proposing strong correlation between generation of new
traps and trapping [24] has been shown to be incapable of
predicting experimental data. Although a modified version of
[24] has been proposed [25], it has many independently
adjustable parameters, and no evidence has been shown that
the new model can predict ultra-fast DC and AC NBTI under
different experimental conditions, and for SiON and HKMG
devices with different gate insulator processes. On the other
hand, a recent framework invoked uncorrelated interface trap
generation (ΔV
IT
) and hole trapping (ΔV
HT
) contributions to
predict DC and AC NBTI and their gate insulator process
dependence in both SiON and HKMG p-MOSFETs [4], [13].
In this paper, the framework proposed in [4], [13] is used
to predict UF-MSM ΔV
T
data obtained for DC and AC NBTI
experiments in scaled EOT HKMG devices. The model uses
correlated interface trap generation at Si/IL interface (ΔV
IT-IL
)
and at IL/HK interfacial transition layer (ΔV
IT-HK
), together
with uncorrelated hole trapping in process related traps in IL
bulk (ΔV
HT
) and can predict experimental data for different
conditions for DC and AC stress, such as: (a) DC stress at
various stress gate bias (V
G,STR
) and Temperature (T); (b) DC
recovery after stress at different V
G,STR
and stress time (t
STR
),
recovery at different T and recovery bias (V
G,REC
); (c) PDC
dependence of AC stress at different f and pulse low bias
(V
G,LOW
); (d) f dependence (in Mode-A) and f independence
(in Mode-B) for AC stress at different PDC and V
G,LOW
; and
(e) Gate insulator process dependence. Density Functional
Theory (DFT) simulations are used to identify the precursor of
interface trap generation at the IL/HK transition layer as
Hydrogen passivated Oxygen vacancy defects (Ov-H). Trap
generation is calculated using the double interface Reaction-
Diffusion (RD) model [4], hole trapping using an analytic
model, and the occupancy of generated traps also using an
analytic model [13]. The model can also predict DC and AC
NBTI data at long stress time and reliably estimate end-of-life
degradation for HKMG devices having different EOT.
II. DEVICE AND MEASUREMENT DETAILS
HKMG p-MOSFETs used in this work have been made
using gate first integration, have dual layer RTP-IL/ALD-HK
978-1-4799-3317-4/14/$31.00 ©2014 IEEE 6A.4.1