Large Random Telegraph Noise in Sub-Threshold
Operation of Nano-Scale nMOSFETs
J.P. Campbell
1
, L.C. Yu
1,2
, K.P. Cheung
1*
, J. Qin
1,3
, J.S. Suehle
1
, A. Oates
4
, K. Sheng
2
1
Semiconductor Electronics Division, National Institute of Standards and Technology, Gaithersburg, MD 20899 *kpckpc@ieee.org
2
Department of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ 08854
3
Departmemt of Mechanical Engineering, University of Maryland, College Park, MD 20740
4
TSMC Ltd., Hsin-Chu, Taiwan 300-77, R.O.C.
Abstract--We utilize low-frequency noise measurements to
examine the sub-threshold voltage (sub-V
TH
) operation of highly
scaled devices. We find that the sub-V
TH
low-frequency noise is
dominated by random telegraph noise (RTN). The RTN is
exacerbated both by channel dimension scaling and reducing the
gate overdrive into the sub-V
TH
regime. These large RTN
fluctuations greatly impact circuit variability and represent a
troubling obstacle that must be solved if sub-V
TH
operation is to
become a viable solution for low-power applications.
Keywords—RTN, Sub-V
TH
operation
I. INTRODUCTION
Traditional device scaling focuses on a balance between
performance and power consumption. However, the
emergence of power-sensitive products (cell phones,
pacemakers, implantable devices) has led to the exploration of
circuits which operate in the sub-threshold voltage (sub-V
TH
)
regime [1]. The sub-V
TH
paradigm sacrifices a small amount
of performance for a comparatively huge power reduction
(~V
G
2
) while maintaining the benefits of scaling [2] . Quite
recently, this sub-V
TH
approach has been experimentally
realized in prototype microprocessors and SRAM arrays [3,
4]. However, the benefits of sub-V
TH
scaling do not come
without penalty. Since sub-V
TH
operation reduces device drive
current, circuits become significantly less tolerant of noise [2].
While several recent reports detail clever approaches to
combat this noise intolerance [2, 3, 5], they do not account for
the possibility of large noise increases as device dimensions
continue to scale. Specifically, in nano-scaled devices a
particularly troubling noise phenomenon called random
telegraph noise (RTN) [6] has the potential to severely limit
sub-V
TH
circuit design. RTN is a digital fluctuation in device
drain current (I
D
) which has already been identified as a large
obstacle in super-V
TH
operation of both SRAM and FLASH
memory technologies [7-9]. However, the impact of RTN on
sub-V
TH
operation is only sporadically debated in the literature
with very little consensus. Some researchers report a ΔI
D
/I
D
inverse channel length dependence (1/L) [10] while others
report a more pessimistic 1/L
2
dependence [11, 12]. Some
researchers report no dependence on channel width (W) [11]
while others report a 1/√W dependence [13]. However, most
of these reports focus on larger channel area devices with
particular emphasis on the super-V
TH
regime. Asenov et al.
was the first to report simulations of highly-scaled devices
[13, 14]. These simulations predict an enhanced ΔI
D
/I
D
RTN in
the sub-V
TH
regime. If this enhancement were to be
experimentally observed, the implication to sub-V
TH
circuits
would be serious. Surprisingly, there is almost no
Frequency [Hz]
PSD
2
f 1
Digital
Storage
O-scope
nFET
I-V Pre-Amplifier
Digital
Storage
O-scope
nFET
I-V Pre-Amplifier
Frequency [Hz]
PSD
2
f 1
Digital
Storage
O-scope
nFET
I-V Pre-Amplifier
Digital
Storage
O-scope
nFET
I-V Pre-Amplifier
Figure 1. Schematic illustration of the power spectral density (PSD) of
an RTN fluctuation (Lorentzian line shape with slope 1/f
2
). The
schematic representation of our experimental approach is shown in the
inset.
experimental evidence to examine the validity of this
prediction.
In this paper we present low-frequency noise characteristics
of highly-scaled nMOSFETs as a function of gate overdrive
(V
G
-V
TH
) for a variety of channel lengths and widths. As
expected, reduction of the channel dimensions reveals a noise
mechanism dominated by RTN. This RTN is largest in the
sub-V
TH
regime and reduces as the gate-overdrive is increased
to super-V
TH
values. We also note the presence of occasional
giant ΔI
D
/I
D
RTN in a small number of the most highly scaled
devices. Our collective observations represent a grim outlook
for the viability of sub-V
TH
circuit scaling and identify RTN as
a topic which merits further attention.
II. EXPERIMENTAL METHODS
Our experiments utilize silicon oxynitride (SiON) n-
channel MOSFET devices with a physical dielectric thickness
of 1.4 nm. The nominal channel widths ranged from 0.085 μm
to 1 μm and the nominal channel lengths ranged from 0.055
μm to 1 μm. The RTN measurement apparatus is
schematically illustrated in the inset of fig. 1. Source and gate
electrodes are biased using battery-powered variable voltage
sources, while the substrate electrode is grounded for all
measurements. The drain current is monitored by a low-noise
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