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EC303 CMOS VLSI Design
Dr. P. Sreehari Rao, Associate Professor (Section-A)
Dr. Vadthiya Narendar, Assistant Professor (Section-B)
Department of Electronics & Communication Engineering
National Institute of Technology Warangal
Warangal-506004
EC303 CMOS VLSI Design-Syllabus
Course Outcomes: After the completion of the course the student
will be able to:
CO1: Explain the fabrication, operation and characteristics MOSFET
CO2: Analyze the performance of CMOS inverter
CO3: Design digital circuits using CMOS gates
CO4: Design analog circuits using CMOS gates
CO5: Outline the latest trends in CMOS technology
EC303 CMOS VLSI Design
Detailed Syllabus:
INTRODUCTION to MOSFETs: Unit process steps of CMOS
technology, Fabrication process flow: NMOS, PMOS, Twin well
CMOS; Structure and operation of the MOS transistor, I-V and C-
V characteristics, MOSFET capacitances, layout, design rules,
Scaling and Short channel effects.
MOS INVERTERS: Inverters with resistive, MOSFET load;
CMOS inverter: Voltage transfer characteristics, Noise margins,
switching characteristics, calculation of delay times; effect of load
on switching characteristics and driving large loads, logical effort
of paths
EC303 CMOS VLSI Design
Digital circuits using CMOS: Pseudo NMOS, Pass transistor,
transmission gates, Dynamic logic, Domino logic, Differential
cascode voltage switch logic, design of combinational circuits,
design of sequential circuits, timing requirements.
Analog circuits: Second order effects in MOSFETs. Single stage
Amplifiers: Common-source stage, Source follower, Common-gate,
Cascode stage, Differential Amplifiers, Passive and Active current
mirrors, CMOS operational amplifier, gain boosting techniques.
Trends in CMOS technology: SOI, FinFET and multi-gate FET,
2D materials based FETs, On-chip interconnects.
EC303 CMOS VLSI Design
Reading:
1. Sung-Mo Kang, Yusuf Leblebici Chulwoo kim, Digital Integrated
Circuits: Analysis and Design, 4th Edition, McGraw Hill Education,
2016.
2. Behzad Razavi, Design of Analog CMOS Integrated Circuits,
2nd Edition, McGraw Hill Education, 2016.
3. Jan M RABAEY, Digital Integrated Circuits, 2nd Edition, Pearson
Education, 2003.
4. Neil H.E. Weste and David Harris, CMOS VLSI Design: A circuits
and systems perspective, 4th Edition, Pearson Education, 2015.
5. J.-P. Colinge FinFETs and Other Multi-Gate Transistors,
Springer, 2007.
Evolution of VLSI
V Narendar
IC Products
• Processors
– CPU, DSP, Controllers
• Memory chips
– RAM, ROM, EEPROM
• Analog
– Mobile communication,
audio/video processing
• Programmable
– PLA, FPGA
• Embedded systems
– Used in cars, factories
– Network cards
• System-on-chip (SoC)
Electronics: The Big Picture
Figure: A VLSI system (Device to System)
V Narendar
Historical Perspective
V Narendar
 In the beginning of the twenty-first century, we find ourselves surrounded by
different machines and appliances that are impossible to build without applying the
principles of electronics onto them.
 Moreover, the communication boom that we see now would not have been possible
without the advancement in the electronics industry and without using integrated
circuits (ICs).
 The journey started when the first transistor was invented in 1947 by John Bardeen,
Walter Brattain, and William Shockley at the Bell Telephone Laboratory and they
shared the Nobel prize in 1956.
Vacuum Tubes First Transistor Inventors
Historical Perspective
V Narendar
 The biggest revolution happened when Jack Kilby at Texas Instruments first made
the monolithic integrated circuit in 1958. This was a significant breakthrough in the
semiconductor technology by Kilby, for which he was awarded Nobel Prize in
2000.
 The first commercial IC was introduced by Fairchild Corporation in 1960 followed
by TTL IC in 1962.
 Another breakthrough in the IC technology is the introduction of the first
microprocessor 4004 by Intel in 1971. Since then, there has been a steady progress
in the IC industry resulting in high density chips such as Pentium and Xeon
processors.
Historical Perspective
V Narendar
Historical Perspective
V Narendar
Evolution of integration level in integrated circuits
Evolution of VLSI
V Narendar
1925: Julius Edgar Lilienfeld’s MESFET patent
1935: Oskar Heil’s MOSFET patent
194?: Unpublished Bell Labs MESFET
1947: Ge BJT (Bardeen, Brattain, Shockley, Bell Labs)
1954: Si BJT (Teal, Bell Labs)
1960: MOSFET (Atalla&Khang, Bell Labs)
1961: Integrated circuit (Kilby, TI)
1963: CMOS (Sah&Wanlass, Fairchild)
1964: Commercial CMOS IC (RCA)
1965: DRAM (Fairchild)
1968: Poly-Si gate (Faggin&Klein, Fairchild)
1968: 1-FET DRAM cell (Dennard, IBM)
1971: UV EPROM (Frohman, Intel)
1971: Full CPU in chip, Intel 8008 (Faggin, Intel)
1974: Digital watch
1974: Scaling theory (Gänsslen&Dennard, IBM)
1978: Use of ion implanter
1978: Flotox EEPROM (Perlegos, Intel)
1980: Ion-implanted CMOS IC
1980: Plasma etching
1984: Scaling theory <0.25 μm (Baccarani, U. Bologna)
1986: 0.1 μm Si MOSFET (Sai-Halasz, IBM)
1991: CMOS replaces BJT also at high-end
1993: DGFET scalable to 30 nm (theory, Frank et al.)
2007: Non-SiO2 (HfO2–based) MOSFET (Intel)
1955: Si, Ge conduction band (Herring&Vogt)
Deformation-potential, high-field (Bardeen&Shockley)
1957: BTE in semiconductors – impurities (Luttinger&Kohn),
phonons (Price, Argyles)
1964: Band structure calculations (Hermann)
Monte Carlo for semiconductors (Kurosawa)
1965: Linear-parabolic oxidation model (Deal&Grove)
1966: Observations of 2DEG (Fowler, Fang, Stiles, Stern,..)
1967: Conductance technique (Nicollian&Goetzberger)
1974: DDE device simulator (Cottrell&Buturla)
1975: Quantum Hall Effect predicted (Ando)
1979: Quantum Hall Effect observed (von Klitzing)
1981: Identification of native Nit: Pb-centers (Poindexter)
Full-band MC (Shichijo&Hess)
1982: Fractional QHE observed (Störmer&Tsui, Laughlin)
1988: Full-band MC device simulator (MVF&Laux)
1992: NEGF device simulator (Lake, Klimeck, et al.)
Technology Physics/
Technology Physics/Simulations
Simulations
Technology Advancement
V Narendar
Scaling in Processor
V Narendar
Introduction
• Nowadays, digital electronics are pervasive across the globe enriching
people’s lives and making communication and sharing easier than ever.
• At the heart of the each of these digital devices are semiconductor chips
that provide the intelligence and power to drive the device.
• Each chip is made up with billions of transistors with complementary
metal-oxide semiconductor (CMOS) technology [1-3], the building blocks
of the digital world to build better digital devices and enhance the user
experience.
Introduction (cont’…)
• CMOS chips have become the core component of computers, mobile
phones, virtual reality (VR) machines and also revolutionized the military
and medical fields.
• The CMOS technology has now accomplished two extreme levels:
Gigascale and Nanoscale.
• The metal-oxide semiconductor field effect transistor (MOSFET) has been
considered as a fundamental element of CMOS technology which has been
used in a digital IC and follows the Moore’s law since five decades [4, 5].
Introduction (cont’…)
Figure : Integration density of different generation of Intel microprocessors [8]
Moore’s Law and Technology Integration:
Introduction (cont’…)
• International Technology Roadmap for Semiconductor [ITRS] [6] & IRDS.
• Every year, a new report has been created by the ITRS/IRDS in which they
define the benchmark rules for every technology nodes.
• To continue the downsizing of future technology nodes new device
architectures have been proposed by the researchers and shown a favorable
performance.
• Moreover, new technologies such as silicon on insulator (SOI), Strained
Silicon (S-Si) as a channel material, high-k dielectrics as a gate oxide
materials and with multiple gate structures have been investigated at
nanoscale regime.
Evolution of VLSI
V Narendar
Introduction (cont’…)
a) High performance (HP): In High performance (HP) technologies, the high
density ICs requires high clock frequencies with acceptable power
consumption. Example: Desktop microprocessors.
b) Low operating power (LOP): The portable electronics need low operating
power (LOP) CMOS ICs with high performance.
c) Low stand-by power (LSTP): The cellular phones come under low stand-by
power technological options, where the requirements are low cost,
increasing functionality and power reduction is as low as possible.
Future Technology Options and their Requirements
Types of Transistors
BJT Vs. FET
Basics of MOSFET
V Narendar
Basics of MOSFET
V Narendar
Figure : The cross sectional view of an n-channel enhancement type MOSFET
MOSFET: Current-Voltage Characteristics
Basics of MOSFET
Basics of MOSFET
Two Terminal MOS Structure
M
O
S
Two-Terminal MOS Structure
Two-Terminal MOS Structure
Two-Terminal MOS Structure
Two-Terminal MOS Structure
Energy band diagrams of the components that
make up the MOS system
Energy band diagram of the combined MOS
system.
Two-Terminal MOS Structure
Example
Consider the MOS structure that consists of a p-type doped silicon substrate, a silicon
dioxide layer, and a metal (aluminum) gate. The equilibrium Fermi potential of the
doped silicon substrate is given as qϕFp= 0.2 eV. Using the electron affinity for silicon
(4.15 eV) and the work function for aluminum (4.1 eV), calculate the built-in potential
difference across the MOS system. Assume that the MOS system contains no other
charges in the oxide or on the silicon-oxide interface.
First, we have to calculate the work function for the doped silicon (qΦS), which is:
qΦS = qχsi + Ec — Ef
qΦS = 4.15eV + 0.75eV = 4.9eV
Solution
Now calculate the work function difference between the silicon substrate and the
aluminum gate
qΦMS = qΦM — qΦS
qΦMS = 4.1 eV - 4.9 eV = - 0. 8 eV
MOS System under External Bias
 Assume that the substrate voltage is set at VB = 0 V, and let the gate voltage be
the controlling parameter.
 Depending on the polarity and the magnitude of VG, three different operating
regions can be observed for the MOS system:
1. Accumulation
2. Depletion
3. Inversion.
 If a negative voltage VG is applied to the gate electrode, the holes in the p-type
substrate are attracted to the semiconductor-oxide interface.
 The majority carrier concentration near the surface becomes larger than the
equilibrium hole concentration in the substrate; hence, this condition is called carrier
accumulation on the surface.
 In this case, the oxide electric field is directed towards the gate electrode.
 The negative surface potential also causes the energy bands to bend upward near
the surface.
 While the hole density near the surface increases as a result of the applied
negative gate bias, the electron (minority carrier) concentration decreases as the
negatively charged electrons are pushed deeper into the substrate.
MOS System under External Bias
(Accumulation)
MOS System under External Bias
(Accumulation)
Figure: The cross-sectional view and the energy band diagram of the MOS
structure operating in accumulation region
M
O
S
MOS System under External Bias
(Depletion)
 A small positive gate bias VG is applied to the gate electrode.
 Since the substrate bias is zero, the oxide electric field will be directed towards
the substrate in this case.
 The positive surface potential causes the energy bands to bend downward near
the surface.
 The majority carriers, i.e., the holes in the substrate, will be repelled back into
the substrate as a result of the positive gate bias, and these holes will leave
negatively charged fixed acceptor ions behind. Thus, a depletion region is created
near the surface.
 Note that under this bias condition, the region near the semiconductor-oxide
interface is nearly devoid of all mobile carriers.
MOS System under External Bias
(Depletion)
Figure: The cross-sectional view and the energy band diagram of the MOS
structure operating in depletion mode, under small gate bias.
Depth of Depletion Region and Depletion
Region Charge Density
MOS System under External Bias
(Inversion)
o If the positive voltage further increased, i.e. VG > 0 (Large).
o As a result of the increasing surface potential, the downward bending of the
energy bands will increase as well.
o Eventually, the mid-gap energy level Ei becomes smaller than the Fermi level EFP
on the surface, which means that the substrate semiconductor in this region becomes
n-type.
o Within this thin layer, the electron density is larger than the majority hole density,
since the positive gate potential attracts additional minority carriers (electrons) from
the bulk substrate to the surface.
o The n-type region created near the surface by the positive gate bias is called the
inversion layer, and this condition is called surface inversion.
 The surface is said to be inverted when the density of mobile electrons on the
surface becomes equal to the density of holes in the bulk (p-type) substrate.
 This condition requires that the surface potential has the same magnitude, but the
reverse polarity, as the bulk Fermi potential ϕF .
 Once the surface is inverted, any further increase in the gate voltage leads to an
increase of mobile electron concentration on the surface, but not to an increase of
the depletion depth.
 Thus, the depletion region depth achieved at the onset of surface inversion is also
equal to the maximum depletion depth, xdm, which remains constant for higher gate
voltages.
 Using the inversion condition ϕs = - ϕF , the maximum depletion region depth at
the onset of surface inversion can be found from (11) as follows:
(13) (13)
MOS System under External Bias
(Inversion)
Figure: The cross-sectional view and the energy band diagram of the MOS
structure in surface inversion, under larger gate bias voltage
MOS System under External Bias
(Inversion)
MOSFET
MOSFET Terminal Voltages
Vg
Vs
Vd
Vgd
Vgs
Vds
+
-
+
-
+
-
 Mode of operation depends on Vg, Vd, Vs
Vgs = Vg – Vs
Vgd = Vg – Vd
Vds = Vd – Vs = Vgs - Vgd
 Source and drain are symmetric diffusion terminals
 By convention, source is terminal at lower voltage
 Hence Vds  0
 nMOS body is grounded. First assume source is 0 too.
 Three regions of operation
– Cutoff
– Linear
– Saturation
NMOS in Cutoff region
+
-
Vgs
= 0
n+ n+
+
-
Vgd
p-typebody
b
g
s d
• No channel
• Ids = 0
Vg
Vs
Vd
Vgd
Vgs
Vds
+
-
+
-
+
-
N-Channel MOSFET Characteristics
 The model assumes that the channel length is long enough that the
lateral electric field (the field between source and drain) is relatively low,
which is no longer the case in nanometer devices.
 The long-channel model assumes that the current through an OFF
transistor is 0.
 When a transistor turns ON (Vgs > Vt), the gate attracts carriers
(electrons) to form a channel.
 The electrons drift from source to drain at a rate proportional to the
electric field between these regions. Thus, we can compute currents if we
know the amount of charge in the channel and the rate at which it moves.
N-Channel MOSFET Characteristics
 MOS structure looks like parallel plate capacitor
 We know that the charge on each plate of a capacitor is Q = CV.
 Thus, the charge in the channel Qchannel
 Qchannel = C V = Cg (Vgc – Vt )
 C = Cg = eoxWL/tox = CoxWL
 V = Vgc – Vt = (Vgs – Vds/2) – Vt
n+ n+
p-typebody
+
Vgd
gate
+ +
source
-
Vgs
-
drain
Vds
channel
-
Vg
Vs
Vd
Cg
n+ n+
p-typebody
W
L
tox
SiO2 gateoxide
(goodinsulator, eox
=3.9)
polysilicon
gate
Vg
Vs
Vd
Vgd
Vgs
Vds
+
-
+
-
+
-
Cox = eox / tox
Vgc= (Vgs+Vgd)/2 = Vgs-Vds /2
 Each carrier in the channel is accelerated to an average velocity, v,
proportional to the lateral electric field, (the field between source and drain).
 v = mE (m is called mobility)
 The electric field E is the voltage difference between drain and source
Vds divided by the channel length L.
 E = Vds/L
 The time t required for carriers to cross the channel is the channel
length L divided by the carrier velocityv.
 t = L / v
 t = L2 / (mVds )
N-Channel MOSFET Characteristics
Now we know
How much charge Qchannel is in the channel
How much time t each carrier takes to cross
Therefore, the current between source and drain is the total amount of
charge in the channel divided by the time required to cross
N-Channel MOSFET Characteristics
channel
ox 2
2
ds
ds
gs t ds
ds
gs t ds
Q
I
t
W V
C V V V
L
V
V V V



 
  
 
 
 
  
 
 
ox
=
W
C
L
 
N-Channel MOSFET Characteristics
 The term Vgs – Vt arises so often that it is convenient to abbreviate it as
VGT. Ids describes the linear region of operation, for Vgs > Vt, but Vds
relatively small. It is called linear or resistive because when Vds << VGT, Ids
increases almost linearly with Vds, just like an ideal resistor.
 If Vgd < Vt, channel pinches off near drain
 When Vds > Vdsat = Vgs – Vt
 Now drain voltage no longer increases current
 
2
2
2
dsat
ds gs t dsat
gs t
V
I V V V
V V


 
  
 
 
 
N-Channel MOSFET Characteristics
 
2
cutoff
linear
saturatio
0
2
2
n
gs t
ds
ds gs t ds ds dsat
gs t ds dsat
V V
V
I V V V V V
V V V V



 

  
   
 

 


 


■ Shockley 1st order transistor models (long-channel)
MOSFET as Switch
Cross-sectional view and top view (mask view)
of a typical n-channel MOSFET
MOSFET Capacitances
• MOSFET Capacitance
- We group the various capacitances into two groups
1) Oxide Capacitances - capacitance due to the Gate oxide
2) Junction Capacitances - capacitance due to the Source/Drain
diffusion regions
Oxide Capacitances
Junctions Capacitances
Lumped representation of the parasitic
MOSFET capacitances
 Since the channel region is connected to
the source, the drain, and the substrate, we
can identify three capacitances between the
gate and these regions, i.e., Cgs, Cgd and Cgb
respectively.
 Cgs = Gate to Source capacitance
Cgd = Gate to Drain capacitance
Cgb = Gate to Body capacitance
Csb = Source to Body capacitance
Cdb = Drain to Body capacitance
Oxide-Related Capacitance
 It was shown earlier that the gate electrode overlaps both the source region and
the drain region at the edges.
 The two overlap capacitances that arise as a result of this structural arrangement
are called CGD (overlap) and CGS (overlap), respectively.
 Assuming that both the source and the drain diffusion regions have the same
width W, the overlap capacitances can be found as
CGS (overlap) = Cox W LD
CGD (overlap) = Cox W LD Cox = ℇox / tox
 Note that both of these overlap capacitances do not depend on the bias
conditions, i.e., they are voltage-independent.
Oxide-Related Capacitance
(cut-off mode)
 In cut-off mode, the surface is not inverted. Consequently, there is no
conducting channel that links the surface to the source and to the drain.
 Therefore, the gate-to-source and the gate-to-drain capacitances are both equal
to zero: Cgs = Cgd = 0.
 The gate-to-substrate capacitance can be approximated by Cgb = Cox W L
Oxide-Related Capacitance
(linear-mode)
 In linear-mode operation, the inverted channel extends across the MOSFET,
between the source and the drain.
This conducting inversion layer on the surface effectively shields the substrate
from the gate electric field; thus, Cgb = 0.
In this case, the distributed gate-to-channel capacitance may be viewed as being
shared equally between the source and the drain, yielding Cgs = Cgd = ½ (Cox W L )
Oxide-Related Capacitance
(saturation mode)
 In saturation mode, the inversion layer on the surface does not extend to the
drain, but it is pinched as shown in below Figure.
The gate-to-drain capacitance component is therefore equal to zero (Cgd = 0).
Since the source is still linked to the conducting channel, its shielding effect also
forces the gate-to-substrate capacitance to be zero, Cgb = 0.
Finally, the distributed gate-to-channel capacitance as seen between the gate and
the source can be approximated by Cgs = 2/3 (Cox W L )
Oxide-Related Capacitance (Summary)
• Summary of Oxide-Related Capacitance
Cut-off Linear Saturation
D
ox
gd L
W
C
C sat



)
(
0
)
(

sat
gb
C
D
ox
gs L
W
C
C off
cut



 )
(
D
ox
gd L
W
C
C off
cut



 )
(
L
W
C
C ox
gb off
cut



 )
(
D
ox
ox
gs L
W
C
L
W
C
C sat







3
2
)
(
D
ox
ox
gs L
W
C
L
W
C
C linear







2
1
)
(
D
ox
ox
gd L
W
C
L
W
C
C linear







2
1
)
(
0
)
(

linear
gb
C
Junction Capacitance
 Junction Capacitance
- Junction Capacitance refers to capacitance between the diffusion regions of
the Source & Drain to the doped substrate surrounding them.
- They are called "junction" because these capacitances are due to the PN
junctions that are formed between the two materials
- We are concerned with the following junction capacitances:
Csb = Source to Body capacitance
Cdb = Drain to Body capacitance
- These capacitances are highly dependant on the bias voltages since the
effective distance between plates is the depth of the built in depletion region
that forms at the PN junction
Junction Capacitance
• Junction Capacitance
1) n+ / p junction = diffusion region to substrate beneath gate : Area = W·xj
2) n+ / p+ junction = diffusion region to channel-stop implant in back (sidewall) : Area = Y·xj
3) n+ / p+ junction = diffusion region to channel-stop implant on side (sidewall) : Area = W·xj
4) n+ / p+ junction = diffusion region to channel-stop implant in front (sidewall) : Area = Y·xj
5) n+ / p junction = diffusion region to substrate underneath : Area = W·Y
N-Channel MOSFET C-V Characteristics

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  • 1. EC303 CMOS VLSI Design Dr. P. Sreehari Rao, Associate Professor (Section-A) Dr. Vadthiya Narendar, Assistant Professor (Section-B) Department of Electronics & Communication Engineering National Institute of Technology Warangal Warangal-506004
  • 2. EC303 CMOS VLSI Design-Syllabus Course Outcomes: After the completion of the course the student will be able to: CO1: Explain the fabrication, operation and characteristics MOSFET CO2: Analyze the performance of CMOS inverter CO3: Design digital circuits using CMOS gates CO4: Design analog circuits using CMOS gates CO5: Outline the latest trends in CMOS technology
  • 3. EC303 CMOS VLSI Design Detailed Syllabus: INTRODUCTION to MOSFETs: Unit process steps of CMOS technology, Fabrication process flow: NMOS, PMOS, Twin well CMOS; Structure and operation of the MOS transistor, I-V and C- V characteristics, MOSFET capacitances, layout, design rules, Scaling and Short channel effects. MOS INVERTERS: Inverters with resistive, MOSFET load; CMOS inverter: Voltage transfer characteristics, Noise margins, switching characteristics, calculation of delay times; effect of load on switching characteristics and driving large loads, logical effort of paths
  • 4. EC303 CMOS VLSI Design Digital circuits using CMOS: Pseudo NMOS, Pass transistor, transmission gates, Dynamic logic, Domino logic, Differential cascode voltage switch logic, design of combinational circuits, design of sequential circuits, timing requirements. Analog circuits: Second order effects in MOSFETs. Single stage Amplifiers: Common-source stage, Source follower, Common-gate, Cascode stage, Differential Amplifiers, Passive and Active current mirrors, CMOS operational amplifier, gain boosting techniques. Trends in CMOS technology: SOI, FinFET and multi-gate FET, 2D materials based FETs, On-chip interconnects.
  • 5. EC303 CMOS VLSI Design Reading: 1. Sung-Mo Kang, Yusuf Leblebici Chulwoo kim, Digital Integrated Circuits: Analysis and Design, 4th Edition, McGraw Hill Education, 2016. 2. Behzad Razavi, Design of Analog CMOS Integrated Circuits, 2nd Edition, McGraw Hill Education, 2016. 3. Jan M RABAEY, Digital Integrated Circuits, 2nd Edition, Pearson Education, 2003. 4. Neil H.E. Weste and David Harris, CMOS VLSI Design: A circuits and systems perspective, 4th Edition, Pearson Education, 2015. 5. J.-P. Colinge FinFETs and Other Multi-Gate Transistors, Springer, 2007.
  • 6. Evolution of VLSI V Narendar IC Products • Processors – CPU, DSP, Controllers • Memory chips – RAM, ROM, EEPROM • Analog – Mobile communication, audio/video processing • Programmable – PLA, FPGA • Embedded systems – Used in cars, factories – Network cards • System-on-chip (SoC)
  • 7. Electronics: The Big Picture Figure: A VLSI system (Device to System) V Narendar
  • 8. Historical Perspective V Narendar  In the beginning of the twenty-first century, we find ourselves surrounded by different machines and appliances that are impossible to build without applying the principles of electronics onto them.  Moreover, the communication boom that we see now would not have been possible without the advancement in the electronics industry and without using integrated circuits (ICs).  The journey started when the first transistor was invented in 1947 by John Bardeen, Walter Brattain, and William Shockley at the Bell Telephone Laboratory and they shared the Nobel prize in 1956. Vacuum Tubes First Transistor Inventors
  • 9. Historical Perspective V Narendar  The biggest revolution happened when Jack Kilby at Texas Instruments first made the monolithic integrated circuit in 1958. This was a significant breakthrough in the semiconductor technology by Kilby, for which he was awarded Nobel Prize in 2000.  The first commercial IC was introduced by Fairchild Corporation in 1960 followed by TTL IC in 1962.  Another breakthrough in the IC technology is the introduction of the first microprocessor 4004 by Intel in 1971. Since then, there has been a steady progress in the IC industry resulting in high density chips such as Pentium and Xeon processors.
  • 11. Historical Perspective V Narendar Evolution of integration level in integrated circuits
  • 12. Evolution of VLSI V Narendar 1925: Julius Edgar Lilienfeld’s MESFET patent 1935: Oskar Heil’s MOSFET patent 194?: Unpublished Bell Labs MESFET 1947: Ge BJT (Bardeen, Brattain, Shockley, Bell Labs) 1954: Si BJT (Teal, Bell Labs) 1960: MOSFET (Atalla&Khang, Bell Labs) 1961: Integrated circuit (Kilby, TI) 1963: CMOS (Sah&Wanlass, Fairchild) 1964: Commercial CMOS IC (RCA) 1965: DRAM (Fairchild) 1968: Poly-Si gate (Faggin&Klein, Fairchild) 1968: 1-FET DRAM cell (Dennard, IBM) 1971: UV EPROM (Frohman, Intel) 1971: Full CPU in chip, Intel 8008 (Faggin, Intel) 1974: Digital watch 1974: Scaling theory (Gänsslen&Dennard, IBM) 1978: Use of ion implanter 1978: Flotox EEPROM (Perlegos, Intel) 1980: Ion-implanted CMOS IC 1980: Plasma etching 1984: Scaling theory <0.25 μm (Baccarani, U. Bologna) 1986: 0.1 μm Si MOSFET (Sai-Halasz, IBM) 1991: CMOS replaces BJT also at high-end 1993: DGFET scalable to 30 nm (theory, Frank et al.) 2007: Non-SiO2 (HfO2–based) MOSFET (Intel) 1955: Si, Ge conduction band (Herring&Vogt) Deformation-potential, high-field (Bardeen&Shockley) 1957: BTE in semiconductors – impurities (Luttinger&Kohn), phonons (Price, Argyles) 1964: Band structure calculations (Hermann) Monte Carlo for semiconductors (Kurosawa) 1965: Linear-parabolic oxidation model (Deal&Grove) 1966: Observations of 2DEG (Fowler, Fang, Stiles, Stern,..) 1967: Conductance technique (Nicollian&Goetzberger) 1974: DDE device simulator (Cottrell&Buturla) 1975: Quantum Hall Effect predicted (Ando) 1979: Quantum Hall Effect observed (von Klitzing) 1981: Identification of native Nit: Pb-centers (Poindexter) Full-band MC (Shichijo&Hess) 1982: Fractional QHE observed (Störmer&Tsui, Laughlin) 1988: Full-band MC device simulator (MVF&Laux) 1992: NEGF device simulator (Lake, Klimeck, et al.) Technology Physics/ Technology Physics/Simulations Simulations
  • 15. Introduction • Nowadays, digital electronics are pervasive across the globe enriching people’s lives and making communication and sharing easier than ever. • At the heart of the each of these digital devices are semiconductor chips that provide the intelligence and power to drive the device. • Each chip is made up with billions of transistors with complementary metal-oxide semiconductor (CMOS) technology [1-3], the building blocks of the digital world to build better digital devices and enhance the user experience.
  • 16. Introduction (cont’…) • CMOS chips have become the core component of computers, mobile phones, virtual reality (VR) machines and also revolutionized the military and medical fields. • The CMOS technology has now accomplished two extreme levels: Gigascale and Nanoscale. • The metal-oxide semiconductor field effect transistor (MOSFET) has been considered as a fundamental element of CMOS technology which has been used in a digital IC and follows the Moore’s law since five decades [4, 5].
  • 17. Introduction (cont’…) Figure : Integration density of different generation of Intel microprocessors [8] Moore’s Law and Technology Integration:
  • 18. Introduction (cont’…) • International Technology Roadmap for Semiconductor [ITRS] [6] & IRDS. • Every year, a new report has been created by the ITRS/IRDS in which they define the benchmark rules for every technology nodes. • To continue the downsizing of future technology nodes new device architectures have been proposed by the researchers and shown a favorable performance. • Moreover, new technologies such as silicon on insulator (SOI), Strained Silicon (S-Si) as a channel material, high-k dielectrics as a gate oxide materials and with multiple gate structures have been investigated at nanoscale regime.
  • 20. Introduction (cont’…) a) High performance (HP): In High performance (HP) technologies, the high density ICs requires high clock frequencies with acceptable power consumption. Example: Desktop microprocessors. b) Low operating power (LOP): The portable electronics need low operating power (LOP) CMOS ICs with high performance. c) Low stand-by power (LSTP): The cellular phones come under low stand-by power technological options, where the requirements are low cost, increasing functionality and power reduction is as low as possible. Future Technology Options and their Requirements
  • 23. Basics of MOSFET V Narendar
  • 24. Basics of MOSFET V Narendar
  • 25. Figure : The cross sectional view of an n-channel enhancement type MOSFET MOSFET: Current-Voltage Characteristics Basics of MOSFET
  • 26. Basics of MOSFET Two Terminal MOS Structure M O S
  • 30. Two-Terminal MOS Structure Energy band diagrams of the components that make up the MOS system Energy band diagram of the combined MOS system.
  • 31. Two-Terminal MOS Structure Example Consider the MOS structure that consists of a p-type doped silicon substrate, a silicon dioxide layer, and a metal (aluminum) gate. The equilibrium Fermi potential of the doped silicon substrate is given as qϕFp= 0.2 eV. Using the electron affinity for silicon (4.15 eV) and the work function for aluminum (4.1 eV), calculate the built-in potential difference across the MOS system. Assume that the MOS system contains no other charges in the oxide or on the silicon-oxide interface. First, we have to calculate the work function for the doped silicon (qΦS), which is: qΦS = qχsi + Ec — Ef qΦS = 4.15eV + 0.75eV = 4.9eV Solution Now calculate the work function difference between the silicon substrate and the aluminum gate qΦMS = qΦM — qΦS qΦMS = 4.1 eV - 4.9 eV = - 0. 8 eV
  • 32. MOS System under External Bias  Assume that the substrate voltage is set at VB = 0 V, and let the gate voltage be the controlling parameter.  Depending on the polarity and the magnitude of VG, three different operating regions can be observed for the MOS system: 1. Accumulation 2. Depletion 3. Inversion.
  • 33.  If a negative voltage VG is applied to the gate electrode, the holes in the p-type substrate are attracted to the semiconductor-oxide interface.  The majority carrier concentration near the surface becomes larger than the equilibrium hole concentration in the substrate; hence, this condition is called carrier accumulation on the surface.  In this case, the oxide electric field is directed towards the gate electrode.  The negative surface potential also causes the energy bands to bend upward near the surface.  While the hole density near the surface increases as a result of the applied negative gate bias, the electron (minority carrier) concentration decreases as the negatively charged electrons are pushed deeper into the substrate. MOS System under External Bias (Accumulation)
  • 34. MOS System under External Bias (Accumulation) Figure: The cross-sectional view and the energy band diagram of the MOS structure operating in accumulation region M O S
  • 35. MOS System under External Bias (Depletion)  A small positive gate bias VG is applied to the gate electrode.  Since the substrate bias is zero, the oxide electric field will be directed towards the substrate in this case.  The positive surface potential causes the energy bands to bend downward near the surface.  The majority carriers, i.e., the holes in the substrate, will be repelled back into the substrate as a result of the positive gate bias, and these holes will leave negatively charged fixed acceptor ions behind. Thus, a depletion region is created near the surface.  Note that under this bias condition, the region near the semiconductor-oxide interface is nearly devoid of all mobile carriers.
  • 36. MOS System under External Bias (Depletion) Figure: The cross-sectional view and the energy band diagram of the MOS structure operating in depletion mode, under small gate bias.
  • 37. Depth of Depletion Region and Depletion Region Charge Density
  • 38. MOS System under External Bias (Inversion) o If the positive voltage further increased, i.e. VG > 0 (Large). o As a result of the increasing surface potential, the downward bending of the energy bands will increase as well. o Eventually, the mid-gap energy level Ei becomes smaller than the Fermi level EFP on the surface, which means that the substrate semiconductor in this region becomes n-type. o Within this thin layer, the electron density is larger than the majority hole density, since the positive gate potential attracts additional minority carriers (electrons) from the bulk substrate to the surface. o The n-type region created near the surface by the positive gate bias is called the inversion layer, and this condition is called surface inversion.
  • 39.  The surface is said to be inverted when the density of mobile electrons on the surface becomes equal to the density of holes in the bulk (p-type) substrate.  This condition requires that the surface potential has the same magnitude, but the reverse polarity, as the bulk Fermi potential ϕF .  Once the surface is inverted, any further increase in the gate voltage leads to an increase of mobile electron concentration on the surface, but not to an increase of the depletion depth.  Thus, the depletion region depth achieved at the onset of surface inversion is also equal to the maximum depletion depth, xdm, which remains constant for higher gate voltages.  Using the inversion condition ϕs = - ϕF , the maximum depletion region depth at the onset of surface inversion can be found from (11) as follows: (13) (13) MOS System under External Bias (Inversion)
  • 40. Figure: The cross-sectional view and the energy band diagram of the MOS structure in surface inversion, under larger gate bias voltage MOS System under External Bias (Inversion)
  • 42. MOSFET Terminal Voltages Vg Vs Vd Vgd Vgs Vds + - + - + -  Mode of operation depends on Vg, Vd, Vs Vgs = Vg – Vs Vgd = Vg – Vd Vds = Vd – Vs = Vgs - Vgd  Source and drain are symmetric diffusion terminals  By convention, source is terminal at lower voltage  Hence Vds  0  nMOS body is grounded. First assume source is 0 too.  Three regions of operation – Cutoff – Linear – Saturation
  • 43. NMOS in Cutoff region + - Vgs = 0 n+ n+ + - Vgd p-typebody b g s d • No channel • Ids = 0 Vg Vs Vd Vgd Vgs Vds + - + - + -
  • 44. N-Channel MOSFET Characteristics  The model assumes that the channel length is long enough that the lateral electric field (the field between source and drain) is relatively low, which is no longer the case in nanometer devices.  The long-channel model assumes that the current through an OFF transistor is 0.  When a transistor turns ON (Vgs > Vt), the gate attracts carriers (electrons) to form a channel.  The electrons drift from source to drain at a rate proportional to the electric field between these regions. Thus, we can compute currents if we know the amount of charge in the channel and the rate at which it moves.
  • 45. N-Channel MOSFET Characteristics  MOS structure looks like parallel plate capacitor  We know that the charge on each plate of a capacitor is Q = CV.  Thus, the charge in the channel Qchannel  Qchannel = C V = Cg (Vgc – Vt )  C = Cg = eoxWL/tox = CoxWL  V = Vgc – Vt = (Vgs – Vds/2) – Vt n+ n+ p-typebody + Vgd gate + + source - Vgs - drain Vds channel - Vg Vs Vd Cg n+ n+ p-typebody W L tox SiO2 gateoxide (goodinsulator, eox =3.9) polysilicon gate Vg Vs Vd Vgd Vgs Vds + - + - + - Cox = eox / tox Vgc= (Vgs+Vgd)/2 = Vgs-Vds /2
  • 46.  Each carrier in the channel is accelerated to an average velocity, v, proportional to the lateral electric field, (the field between source and drain).  v = mE (m is called mobility)  The electric field E is the voltage difference between drain and source Vds divided by the channel length L.  E = Vds/L  The time t required for carriers to cross the channel is the channel length L divided by the carrier velocityv.  t = L / v  t = L2 / (mVds ) N-Channel MOSFET Characteristics
  • 47. Now we know How much charge Qchannel is in the channel How much time t each carrier takes to cross Therefore, the current between source and drain is the total amount of charge in the channel divided by the time required to cross N-Channel MOSFET Characteristics channel ox 2 2 ds ds gs t ds ds gs t ds Q I t W V C V V V L V V V V                      ox = W C L  
  • 48. N-Channel MOSFET Characteristics  The term Vgs – Vt arises so often that it is convenient to abbreviate it as VGT. Ids describes the linear region of operation, for Vgs > Vt, but Vds relatively small. It is called linear or resistive because when Vds << VGT, Ids increases almost linearly with Vds, just like an ideal resistor.  If Vgd < Vt, channel pinches off near drain  When Vds > Vdsat = Vgs – Vt  Now drain voltage no longer increases current   2 2 2 dsat ds gs t dsat gs t V I V V V V V             
  • 49. N-Channel MOSFET Characteristics   2 cutoff linear saturatio 0 2 2 n gs t ds ds gs t ds ds dsat gs t ds dsat V V V I V V V V V V V V V                         ■ Shockley 1st order transistor models (long-channel)
  • 51. Cross-sectional view and top view (mask view) of a typical n-channel MOSFET
  • 52. MOSFET Capacitances • MOSFET Capacitance - We group the various capacitances into two groups 1) Oxide Capacitances - capacitance due to the Gate oxide 2) Junction Capacitances - capacitance due to the Source/Drain diffusion regions Oxide Capacitances Junctions Capacitances
  • 53. Lumped representation of the parasitic MOSFET capacitances  Since the channel region is connected to the source, the drain, and the substrate, we can identify three capacitances between the gate and these regions, i.e., Cgs, Cgd and Cgb respectively.  Cgs = Gate to Source capacitance Cgd = Gate to Drain capacitance Cgb = Gate to Body capacitance Csb = Source to Body capacitance Cdb = Drain to Body capacitance
  • 54. Oxide-Related Capacitance  It was shown earlier that the gate electrode overlaps both the source region and the drain region at the edges.  The two overlap capacitances that arise as a result of this structural arrangement are called CGD (overlap) and CGS (overlap), respectively.  Assuming that both the source and the drain diffusion regions have the same width W, the overlap capacitances can be found as CGS (overlap) = Cox W LD CGD (overlap) = Cox W LD Cox = ℇox / tox  Note that both of these overlap capacitances do not depend on the bias conditions, i.e., they are voltage-independent.
  • 55. Oxide-Related Capacitance (cut-off mode)  In cut-off mode, the surface is not inverted. Consequently, there is no conducting channel that links the surface to the source and to the drain.  Therefore, the gate-to-source and the gate-to-drain capacitances are both equal to zero: Cgs = Cgd = 0.  The gate-to-substrate capacitance can be approximated by Cgb = Cox W L
  • 56. Oxide-Related Capacitance (linear-mode)  In linear-mode operation, the inverted channel extends across the MOSFET, between the source and the drain. This conducting inversion layer on the surface effectively shields the substrate from the gate electric field; thus, Cgb = 0. In this case, the distributed gate-to-channel capacitance may be viewed as being shared equally between the source and the drain, yielding Cgs = Cgd = ½ (Cox W L )
  • 57. Oxide-Related Capacitance (saturation mode)  In saturation mode, the inversion layer on the surface does not extend to the drain, but it is pinched as shown in below Figure. The gate-to-drain capacitance component is therefore equal to zero (Cgd = 0). Since the source is still linked to the conducting channel, its shielding effect also forces the gate-to-substrate capacitance to be zero, Cgb = 0. Finally, the distributed gate-to-channel capacitance as seen between the gate and the source can be approximated by Cgs = 2/3 (Cox W L )
  • 58. Oxide-Related Capacitance (Summary) • Summary of Oxide-Related Capacitance Cut-off Linear Saturation D ox gd L W C C sat    ) ( 0 ) (  sat gb C D ox gs L W C C off cut     ) ( D ox gd L W C C off cut     ) ( L W C C ox gb off cut     ) ( D ox ox gs L W C L W C C sat        3 2 ) ( D ox ox gs L W C L W C C linear        2 1 ) ( D ox ox gd L W C L W C C linear        2 1 ) ( 0 ) (  linear gb C
  • 59. Junction Capacitance  Junction Capacitance - Junction Capacitance refers to capacitance between the diffusion regions of the Source & Drain to the doped substrate surrounding them. - They are called "junction" because these capacitances are due to the PN junctions that are formed between the two materials - We are concerned with the following junction capacitances: Csb = Source to Body capacitance Cdb = Drain to Body capacitance - These capacitances are highly dependant on the bias voltages since the effective distance between plates is the depth of the built in depletion region that forms at the PN junction
  • 60. Junction Capacitance • Junction Capacitance 1) n+ / p junction = diffusion region to substrate beneath gate : Area = W·xj 2) n+ / p+ junction = diffusion region to channel-stop implant in back (sidewall) : Area = Y·xj 3) n+ / p+ junction = diffusion region to channel-stop implant on side (sidewall) : Area = W·xj 4) n+ / p+ junction = diffusion region to channel-stop implant in front (sidewall) : Area = Y·xj 5) n+ / p junction = diffusion region to substrate underneath : Area = W·Y
  • 61. N-Channel MOSFET C-V Characteristics