VOL. 4, NO. 3, MAY 2009 ISSN 1819-6608
ARPN Journal of Engineering and Applied Sciences
© 2006-2009 Asian Research Publishing Network (ARPN). All rights reserved.
www.arpnjournals.com
EVALUATION OF SUBSTRATE AND WELL DOPING LEVELS AND
CHIP DIMENSIONS TO PREVENT LATCH-UP IN CMOS
INVERTER CIRCUITS IN SILICON USING P-WELL TECHNOLOGY
WITH LINE GEOMETRY OF 0.5 µm
A. K. Chatterjee
1
and Munish Vashishath
2
1
Department of Electronics and Communication Engineering, Thapar Institute of Engineering and Technology, Patiala, India
2
Department of Electrical and Electronics Engineering, YMCA Institute of Engineering, Faridabad, India
E-Mail: munish276@yahoo.com
ABSTRACT
CMOS inverter circuits in silicon employing p-well technology have a low current consumption in both the on
and off states. However, the inherent and undesirable parasitic bipolar transistors give rise to latch-up which results in a
large current flow through the chip. Based on the equivalent circuit of the parasitic transistors, it can be shown that latch-up
can be shown that latch up can be prevented using a suitable substrate and well dopings. In this paper an analytical study
has been made and optimum substrate and well dopings have been evaluated with (W/L) ratio ranging from 2 to 0.05 for
both p-n-p and n-p-n transistors. It is expected that both substrate and well dopings of 10
15
/cc will help to solve the latch up
problem for (W/L) ratio of 1.
Keywords: CMOS inverter circuit, doping levels, chip dimensions.
INTRODUCTION
CMOS inverter circuits have been in use for quite
sometime now and serve as the basic element of CMOS
logic operations. These circuits have the major advantage
of using a small chip area as compared to BJT based
similar circuits and have significantly low power
consumption in both the on and off states [1]. Normally on
chip fabrication of the CMOS circuits require the use of
well technology using either (1) p-well, (2) n-well or (3)
twin-tub structures. However, these structures form
undesirable and in-built bipolar p-n-p and n-p-n parasitic
transistors which give rise to latch up causing a large
current to flow from the drain supply voltage V
DD
to
ground. The problem of latch-up technology has been
solved by using the Refilled Trench Technology, whereas
the p and n, twin tubes are separated by the trench [2] and
the parasitic transistors become isolated from each other.
These technologies require additional processing steps and
are expansive. Another way to reduce the latch is to use a
heavily doped substrate with devices fabricated on a
highly doped epitaxial layer [3-8]. Other techniques
involve the use of retrograde wells and can reduce the
current gain of vertical transistors, thereby preventing
latch up to occur [9-12].
In this paper an attempt has been made to reduce
the current gain of the vertical and lateral parasitic
transistors and solve the problem of latch-up. This has
been done by estimating the current gain of the two
transistors by changing the substrate and well doping such
that they do not fill the condition necessary for latch-up
using the equivalent circuit of the parasitic regions which
involve the p-n-p and n-p-n transistor and the substrate and
well resistances, R
S
and R
W
respectively. It is estimated
that latch-up can be avoided by using a substrate and well
doping of the order of 10
15
atoms per cc.
CIRCUIT EVALUATION
The circuit diagram of a CMOS inverter circuit is
shown in Figure-1. The notations S
1
, G
1
, and D
1
have
been used to denote the source, gate and drain of the p
channel MOSFET. The subscript 2 is used for the n-
channel MOSFET. The gates of the two transistors are
shorted and provide the input terminal. The drains are
shorted and act as the output terminal. The sources and
substrate of the p-MOSFET are shorted and connected to
the drain bias, V
DD
. Likewise the source and substrate of
the n-MOSFET are shorted and connected to the source
supply (-V
ss
).
Figure-2 shows the layered structure of a fully
fabricated CMOS inverter circuit of Figure-1 using the p
well structure in a silicon wafer. The symbols and
notations are the same as in Figure-1. The parasitic
transistors are: (1) the lateral p-n-p transistor is formed by
the p
+
- source as emitter, n-substrate as base and p-well as
the collector; (2) The vertical n-p-n transistor is formed by
the n
+
-source (S
2
) as emitter, p-well as the base and n
substrate as the collector. The two transistors are
interconnected as shown in Figure-2. The other two
parasitic elements are the substrate resistance R
s
and the
well resistance R
w
. The equivalent circuit of the system is
shown in Figure-3. Here I
rs
and I
rw
are the currents flowing
through the substrate and the well as shown in Figure-2.
The current gains of the two transistors are denoted by
α
pnp
and α
npn
. The other currents in Figure-3 are I, I
1and
I
2
.
The drain Supply voltage is (+V
DD
) and source supply
voltage is (-Vss).
Using basic circuit theory it can be shown from
Figure-3, that the current I flowing into the emitter of the
p-n-p transistor can be given by:
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