8.5 New Physical Insight and Modeling of Second Breakdown (It2
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New Physical Insight and Modeling of Second Breakdown (It 2 ) Phenomenon in Advanced ESD Protection Devices Amitabh Chatterjee, Charvaka Duvvury * and Kaustav Banerjee Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA 93106 *Silicon Technology Development, Texas Instruments, Dallas, TX 75243 Abstract Second breakdown phenomenon in advanced NMOS ESD protection devices has remained an enigma due to the complex electrical and thermal effects that are responsible for its triggering. For the first time, we present a critical study of the high current phenomenon in ultra short-time scale to understand the physics of instability in protection devices around the second breakdown region. It is demonstrated that for advanced protection devices, carrier heating in the high field drain region causes a fall in the saturation drift velocity, which increases the transit time of carriers through the depletion region. This in turn, causes greater impact ionization due to higher accumulation of avalanche-generated carriers; leading to the formation of a propagating ionizing wave front, which culminates in a regenerative avalanche injection induced second breakdown failure. Introduction Accurate modeling and simulation framework for optimal ESD protection device design is a critical need for ULSI circuits [1,2,3]. With ever-changing technology and competition in the market, one way to reduce the developmental cycle is to develop accurate simulation capability through good physical insight of the phenomenon causing the failure of the ESD protection devices. While present ESD simulation tools [2,3] have been able to accurately model the MOS snapback region caused by avalanche breakdown in the typical high-current I-V characteristics (defined by It 1 ), second breakdown (It 2 ) phenomenon that effectively determines the robustness of MOS based ESD protection devices, has remained relatively less understood. It has been traditionally linked to rise of temperature, which causes the intrinsic carrier concentration to equal the background doping concentration [4] and takes the device into a negative differential resistance (NDR) mode [5]. In the NDR mode, the voltage and current are unstable, and the voltage decreases until a stable bias condition is reached. This stable bias condition has been shown to be a micro-plasma formed due to the constriction of current into a filament and which subsequently results in collapse of voltage across the device [2, 5]. Although this macroscopic model, which is based on the critical temperature rise, has also been correlated with critical power dissipation through 1-D analytical electro-thermal model, the physical mechanisms behind the current controlled NDR are not clear, making it rather ineffective for predictive modeling [2]. Also, while computationally intensive electro- thermal device simulations and related mixed-mode simulations have shown that this critical temperature triggering the second breakdown peaks at the sidewall junction at the drain end, their role as a predictive tool is rather limited due to the problems of numerical convergence [2, 3]. The macroscopic understanding has also been implemented through circuit models, which involve solving for the current and voltage boundary conditions that cause the critical power dissipation to trigger second breakdown of the device [6]. This methodology evaluates the full functionality of the ESD protection circuit along with the rest of the design which it is protecting by solving the coupled analytical expressions around the snapback region (It 1 ), which involves extracted SPICE parameters like the gain (β) of lateral n/p/n transistor, multiplication factor (M), and substrate resistance (R sub ) [2, 6]. In this technique, the collapse of voltage is explained due to the thermal generation of holes, which is required to support the base current in the parasitic lateral bipolar transistor. However, this technique can only restrictively predict few process related variations of second breakdown characteristics of the device e.g., dependence on the channel length [6]. Thus, absence of microscopic understanding behind the second breakdown phenomenon has so far hindered the development of useful models having strong correlation with experiments, and thereby restricted the optimization of process and device design for advanced ESD protection circuits. For the first time, we present a critical study of the high current phenomenon in ultra short-time scale and propose a microscopic model to understand the physics of instability in protection devices around the second breakdown region. Experimental Setup We have recently developed a new controlled technique of applying variable speed ultra-fast high voltage pulses (ranging from 100s of volts to a few KV) across devices [7]. The new pulsing technique (Fig. 1a) involves two stages where the external trigger pulse applied to the stage 1 transistor (T 1 ) causes a negative voltage pulse to appear across the transistor (T 2 ) in stage 2 due to the discharging of the capacitor C 1 . The rise time of the pulses (100 ps to a few μs) can be controlled using the circuit elements shown in Fig. 1a. It was observed that for very high speed ramps (300 V/1ns) the device under test (T 2 : the p/n - /n + structure shown in Fig. 1b – for which we used commercially available BJTs and shorted the base and emitter junction) exhibited collapse of voltage or second breakdown phenomenon, which is encountered during triggering of ESD protection devices. However, for wide range of intermediate ramp speeds (400 V ramped in a range of 700 ns to 10 ns), the device was indeterminate whether to go to second breakdown mode or the normal avalanche breakdown mode and hence exhibited erratic nature as shown in Fig. 2. Since the basic physics behind the second breakdown phenomenon remains similar for all the devices, we have first used non-isothermal transient 2-D simulation using current boundary condition [8] in these lowly doped p/n - /n + – large area diode structures (Fig. 3). The experimentally observed erratic choice of breakdown could be explained only due to a sensitive non-linear ionizing wave front traveling across the depletion region. This ionizing wave front, which is initiated due to a sudden build up of very high breakdown field at the p/n - diode junction, causes an excessive accumulation of mobile carriers in the depletion region. The transient build up of these mobile carriers 0-7803-9269-8/05/$20.00 (c) 2005 IEEE
8.5 New Physical Insight and Modeling of Second Breakdown (It2
8.5 New Physical Insight and Modeling of Second Breakdown (It2)
Phenomenon in Advanced ESD Protection DevicesNew Physical Insight
and Modeling of Second Breakdown (It2) Phenomenon in Advanced ESD
Protection Devices
Amitabh Chatterjee, Charvaka Duvvury* and Kaustav Banerjee
Department of Electrical and Computer Engineering, University of
California, Santa Barbara, CA 93106
*Silicon Technology Development, Texas Instruments, Dallas, TX
75243
Abstract Second breakdown phenomenon in advanced NMOS ESD
protection devices has remained an enigma due to the complex
electrical and thermal effects that are responsible for its
triggering. For the first time, we present a critical study of the
high current phenomenon in ultra short-time scale to understand the
physics of instability in protection devices around the second
breakdown region. It is demonstrated that for advanced protection
devices, carrier heating in the high field drain region causes a
fall in the saturation drift velocity, which increases the transit
time of carriers through the depletion region. This in turn, causes
greater impact ionization due to higher accumulation of
avalanche-generated carriers; leading to the formation of a
propagating ionizing wave front, which culminates in a regenerative
avalanche injection induced second breakdown failure.
Introduction Accurate modeling and simulation framework for
optimal
ESD protection device design is a critical need for ULSI circuits
[1,2,3]. With ever-changing technology and competition in the
market, one way to reduce the developmental cycle is to develop
accurate simulation capability through good physical insight of the
phenomenon causing the failure of the ESD protection devices. While
present ESD simulation tools [2,3] have been able to accurately
model the MOS snapback region caused by avalanche breakdown in the
typical high-current I-V characteristics (defined by It1), second
breakdown (It2) phenomenon that effectively determines the
robustness of MOS based ESD protection devices, has remained
relatively less understood. It has been traditionally linked to
rise of temperature, which causes the intrinsic carrier
concentration to equal the background doping concentration [4] and
takes the device into a negative differential resistance (NDR) mode
[5]. In the NDR mode, the voltage and current are unstable, and the
voltage decreases until a stable bias condition is reached. This
stable bias condition has been shown to be a micro-plasma formed
due to the constriction of current into a filament and which
subsequently results in collapse of voltage across the device [2,
5]. Although this macroscopic model, which is based on the critical
temperature rise, has also been correlated with critical power
dissipation through 1-D analytical electro-thermal model, the
physical mechanisms behind the current controlled NDR are not
clear, making it rather ineffective for predictive modeling [2].
Also, while computationally intensive electro- thermal device
simulations and related mixed-mode simulations have shown that this
critical temperature triggering the second breakdown peaks at the
sidewall junction at the drain end, their role as a predictive tool
is rather limited due to the problems of numerical convergence [2,
3]. The macroscopic understanding has also been implemented through
circuit models, which involve solving for the current and voltage
boundary conditions that cause the critical power dissipation to
trigger second
breakdown of the device [6]. This methodology evaluates the full
functionality of the ESD protection circuit along with the rest of
the design which it is protecting by solving the coupled analytical
expressions around the snapback region (It1), which involves
extracted SPICE parameters like the gain (β) of lateral n/p/n
transistor, multiplication factor (M), and substrate resistance
(Rsub) [2, 6]. In this technique, the collapse of voltage is
explained due to the thermal generation of holes, which is required
to support the base current in the parasitic lateral bipolar
transistor. However, this technique can only restrictively predict
few process related variations of second breakdown characteristics
of the device e.g., dependence on the channel length [6]. Thus,
absence of microscopic understanding behind the second breakdown
phenomenon has so far hindered the development of useful models
having strong correlation with experiments, and thereby restricted
the optimization of process and device design for advanced ESD
protection circuits. For the first time, we present a critical
study of the high current phenomenon in ultra short-time scale and
propose a microscopic model to understand the physics of
instability in protection devices around the second breakdown
region.
Experimental Setup We have recently developed a new controlled
technique of
applying variable speed ultra-fast high voltage pulses (ranging
from 100s of volts to a few KV) across devices [7]. The new pulsing
technique (Fig. 1a) involves two stages where the external trigger
pulse applied to the stage 1 transistor (T1) causes a negative
voltage pulse to appear across the transistor (T2) in stage 2 due
to the discharging of the capacitor C1. The rise time of the pulses
(100 ps to a few µs) can be controlled using the circuit elements
shown in Fig. 1a. It was observed that for very high speed ramps
(300 V/1ns) the device under test (T2: the p/n-
/n+ structure shown in Fig. 1b – for which we used commercially
available BJTs and shorted the base and emitter junction) exhibited
collapse of voltage or second breakdown phenomenon, which is
encountered during triggering of ESD protection devices. However,
for wide range of intermediate ramp speeds (400 V ramped in a range
of 700 ns to 10 ns), the device was indeterminate whether to go to
second breakdown mode or the normal avalanche breakdown mode and
hence exhibited erratic nature as shown in Fig. 2. Since the basic
physics behind the second breakdown phenomenon remains similar for
all the devices, we have first used non-isothermal transient 2-D
simulation using current boundary condition [8] in these lowly
doped p/n-/n+ – large area diode structures (Fig. 3).
The experimentally observed erratic choice of breakdown could be
explained only due to a sensitive non-linear ionizing wave front
traveling across the depletion region. This ionizing wave front,
which is initiated due to a sudden build up of very high breakdown
field at the p/n- diode junction, causes an excessive accumulation
of mobile carriers in the depletion region. The transient build up
of these mobile carriers
0-7803-9269-8/05/$20.00 (c) 2005 IEEE
modulating the space charge distribution is shown in Fig. 4a
causing a shock wave like pattern due to a propagating breakdown
field (Fig. 4b). The avalanche injection instability [9], which is
caused due to this space charge build-up, has been analyzed through
variation of saturated drift velocity (Vsat) of charge carriers.
I-V curve (Fig. 5) for the device shows that for higher values of
Vsat, mobile carriers could not accumulate, and hence the avalanche
injection induced instability was not observed. However, for lower
values of Vsat, excessive build up of space charge due to
accumulation of mobile carriers leads to regenerative avalanche
injection phenomenon as the front travels to the n-/n+ junction
causing the second breakdown. Though thermal effects on Vsat were
negligibly small for such fast ramps in these large area structures
but with the shrinkage of the device size they were found to play a
pivotal role in causing the second breakdown as discussed in the
following section.
Electro-Thermal Simulation and Modeling of It2 Phenomenon
2-D electro-thermal simulations were performed to study the
avalanche injection induced instability around high electric field
drain region for an advanced NMOS protection device, as shown in
Fig. 6. Fig. 7 shows that for lower values of ramp speed, It2
remains similar. However, it begins to show variations for very
fast rising ramps. Fig. 8 shows that as current continues to
increase beyond the snapback region, maximum value of temperature
distribution (Tmax) in the device begins to increase, which causes
the saturated drift velocity Vsat (that has a strong dependence on
local thermal properties) to fall. The fall in saturation velocity
Vsat causes an accumulation of mobile carriers. Thus, increase in
transit time of the mobile carriers plays a critical role in giving
them more time to stay in the high field drain region, leading to
their excessive impact ionization, thus triggering a propagating
instability due to build up of electric field from the mobile
charge carriers. Thus in brief, avalanche generated mobile carriers
have a dual role of first causing increased impact ionization, and
secondly the redistribution of these generated mobile charges
causes a space charge build up, which modifies the electric field.
Accumulation of avalanche-generated electrons in the high field
drain region (shown in Fig. 9a) leads to enhanced impact ionization
as the space charge (shown in Fig. 9b) generated instability builds
up. Increased impact ionization (shown in Fig. 9c) and subsequent
redistribution of generated mobile carriers causes fall in the
electric field (due to the ionized dopants) in some regions (shown
in Fig. 9d) while it enhances the electric field at other regions
where these mobile charges accumulate. The avalanche injection
induced instability gains further strength as it propagates and
leads to the accumulation of mobile carriers at the junction of
lowly doped drain (LDD) region (n-) and highly doped drain region
(n+). This can explain the experimentally observed role of both the
effective drain diffusion depth below the salicide and substrate
resistance in determining the ESD robustness, a phenomenon
analogous to avalanche injection induced instability in p/n-/n+
structure [9,10].
Thus the saturated drift velocity (Vsat) is the key physical factor
in this complex electro-thermal behavior of avalanche carrier
transport which decides the average time carriers spend in the high
field region causing the onset of avalanche injection induced
second breakdown phenomenon. Through simulations, the role of
saturated drift velocity was critically evaluated using PMI
(physical model interface) accessible Canali’s model in the
simulator (as shown in Fig.10) [8]. Analysis of shock wave (the non
linear ionizing wave front) during second breakdown through
simulations involving parametric variations of device (e.g. channel
length, doping concentration, etc.) exhibited that the triggering
of second breakdown has strong dependence on field distribution in
the drain region.
Finally, simulations were performed to study the impact of fast
rising pulses on advanced SOI (Silicon on Insulator) structures
with same channel length as that of the bulk device (Fig. 6b). In
these devices, collapse of voltage is primarily due to the lateral
triggering of the n/p/n bipolar structure, which is caused due to
the floating nature of the substrate [2]. We believe that the
collapse of voltage in this mechanism is fundamentally different
from the avalanche injection induced second breakdown. Moreover,
the lateral triggering in these devices leads to slower collapse
(as shown by change in electron concentration around drain and
source region - (Fig. 11)) in voltage when compared to the abrupt
second breakdown phenomenon in the bulk NMOS devices. The lower
thermal conductivity (κ) of the buried oxide plays a critical role
in triggering the lateral n/p/n transistor, and simulations show
that while lower κ can very easily trigger the lateral device, for
higher κ the device exhibits oscillations and indeterminacy at the
snapback region as shown in Fig. 12. The rise in temperature
accentuates the regenerative turning ‘on’ of the B-E junction of
the lateral parasitic BJT due to the charge collection in the
floating body. While at higher thermal conductivities, this
regenerative turning ‘on’ of the lateral device is prevented
through better regulation of the device temperature and, in the
process, exhibits small oscillations in the snapback region.
Conclusion In conclusion, the role of avalanche injection
induced
instability leading to second breakdown has been modeled. We
demonstrated, using rigorous simulations, that for advanced NMOS
protection devices, carrier heating in the high field drain region
causes a fall in the saturation drift velocity, which increases the
transit time of carriers. This in turn, causes greater impact
ionization due to higher accumulation of avalanche- generated
carriers leading to the formation of a propagating ionizing wave
front which culminates in a regenerative avalanche injection
induced second breakdown failure. The regenerative mechanism occurs
due to the mobile carrier generation and the induced high electric
field that they produce. In this work, we have correlated the new
model with earlier experimental works. The new physical insight
into onset of the It2 (second breakdown) phenomenon will have
significant implications for understanding the robustness of ESD
protection devices, especially in the MUGFET in PDSOI devices
through development of computer-aided design tools for optimized
process, device and circuit design.
References [1] C. Duvvury et. al., IEDM, 2004, pp. 933-936. [2] A.
Amersekera and C. Duvvury, Wiley & Sons, 2nd Edition, 2001. [3]
K. Esmark, PhD Thesis, ETH, 2001. [4] H. A. Schafft et. al., TED,
1966, pp 613 – 615. [5] B. K. Ridley, Proc. Phys. Society, p. 954,
1963. [6] A. Amerasekera et. al., Proc IRPS, 1999, pp. 159 - 166.
[7] A. Chatterjee et. al., J. of Applied Physics, Vol. 97 (8),
2005. [8] DESSIS Manual, ISE – TCAD, Zurich (2003). [9] P. Hower,
TED, pp. 320-335, 1970. [10] A. Amerasekera et al., IEDM, 1996, pp.
893-896.
a
Fig. 7: Variation of second breakdown phenomenon with the ramp
speed for the bulk NMOS device. For lower ramp speeds, the value of
It2 tends to remain unchanged (observed experimentally using
CDM-ESD model [1]). The variation of It2 for higher ramp speed can
be a key issue that has to be considered for the robustness of ESD
circuits with the scaling of technology.
Fig. 2: Voltage waveform across p/n-/n+ structure formed by a BJT
(whose base emitter has been shorted) across which ultra fast ramp
is applied. For an intermediate value of ramp rate (400V ramped in
range of 700 ns to 10 ns) the device exhibits indeterminacy in
choosing either of two breakdown states (avalanche or second
breakdown) [7].
Fig. 4(b): Electric field distribution (through cut-line generation
X=-3.5µm w.r.t Fig. 3) showing how modulation due to mobile
carriers causes a prominent avalanche injection phenomenon as the
ionizing wave front reaches n-/n+ junction and leads to collapse of
voltage due to sustained and regenerative avalanche
injection.
Fig. 4(a): Distribution of Space Charge (through cut line
generation X=-3.5µm w.r.t Fig. 3). Avalanche generated carriers
modify the space charge forming a shock wave pattern as the
electrons move towards the n+ contact with a saturated drift
velocity Vsat.
0
0.2
0.4
0.6
0.8
1.2
1.0
Temperature
0
0.2
0.4
0.6
0.8
1.2
1.0
Temperature
0
0.2
0.4
0.6
0.8
1.2
1.0
Temperature
-2 -1 0 1 20.5
Fig. 6 (a): Temperature distribution across the cross section of a
130 nm bulk NMOS structure used for transient simulation to
understand the second breakdown phenomenon. (b) Temperature
distribution in 130 nm SOI structure used for simulation.
-4
8 -10 -5 0
3.1×102 K 3.0×102 K 3.0×102 K 3.0×102 K 3.0×102 K
Lattice Temperature
8 -10 -5 0
3.1×102 K 3.0×102 K 3.0×102 K 3.0×102 K 3.0×102 K
Lattice Temperature
Fig. 3: Temperature distribution in the 2D structure of BJT used in
the simulation whose base and emitter has been shorted.
(a)
rbb
Fig. 1: (a) Schematic showing a new controllable technique for
applying variable speed ultra-fast high voltage pulses across
devices [7]. (b) Shorting the base-emitter junction of the BJT (T2)
allows pulse to be applied across p/n-/n+ structure in the
device.
Fig. 5: Simulation illustrating that for similar ramp speed across
the device (p/n-
/n+), lower values of Vsat show collapse of voltage due to
regenerative avalanche injection induced instability as the
ionizing wave front reaches n-/n+ junction. Vse and Vsh are the
saturated drift velocities of electrons and holes.
Fig. 12: I-V characteristics of SOI devices showing a gradual
second snapback compared to abrupt second breakdown, which is due
to the slow turning ‘on’ of the lateral parasitic n/p/n BJT (which
has been observed experimentally). Note that, (D)-decrease,
(I)-increase.
Fig. 11: The distribution of electron concentration (through
cut-line generation at Y=0.023µm w.r.t to Fig. 6b) in SOI device
showing a gradual rise as the parasitic lateral n/p/n device in the
floating substrate is turned ‘on’, which leads to the fall in
device voltage as shown by change in drain and source electron
concentration.
Fig. 9(c): Enhanced impact ionization (through cut-line generation
at Y=0.015µm w.r.t to Fig. 6a) due to increase in mobile carriers
and their subsequent redistribution causes it to peak around the
heavily doped drain (n+) and lowly doped LDD (n-) region.
Fig. 10: I-V characteristics of NMOS showing the second breakdown
phenomenon for different models. The models were dynamically
changed as the device reached the second breakdown trigger point.
The simulation showed that It2 is very sensitive to the factor
Vsat,exp in the Canali model. Note that, (D) – decrease, (I) –
increase.
Fig. 9(b): Distribution of space charge (through cut-line
generation at Y=0.015µm w.r.t to Fig. 6a) build up due to
electro-thermal instability resulting from fall in Vsat. This
causes modulation of the mobile carrier induced space charge around
the junction of heavily doped drain (n+) and lowly doped LDD region
(n-).
Fig. 9(d): Electric field distribution (through cut-line generation
at Y=0.015µm w.r.t to Fig. 6a) showing its fall due to
elecro-thermally generated carriers (around AA’ region) and
subsequently the distribution peaks around the junction of heavily
doped drain (n+) and lowly doped LDD (n-) region.
Fig. 9(a): Distribution of electron concentration (through cut-line
generation at Y=0.015µm w.r.t to Fig. 6a) rises due to fall in the
Vsat and subsequent enhanced impact ionization, leading to the
regenerative avalanche injection induced second breakdown (around
AA′), and shifts the peak by around the junction of heavily doped
drain (n+) and lowly doped LDD (n-) region.
Canali Model
lowF