Transcript Lithography
Background
Process steps up to ‘creating the transistors’ in the
manufacturing Line==> Front End Of Line ==> FEOL
Connecting the Transistors, capacitors etc ==> BEOL
Semiconductor
Band Structure, current carriers, mobility, bias
MOS device basics
structure, Operation, depletion, inversion, pinch off
Issues
Steps in manufacturing
7/18/2015
2
FEOL: Device
BiPolar Device- Schematic
N
Emitter
P
-
-
+
+
N
N
Base Collector
P
N
Forward Bias
+
-
-
+
N
P
N
Reverse Bias
FEOL: FET Device - Simplified Schematic
Gate
(Base)
Source
(Emitter)
P
P
P
N-Well
Electric
Field of
gate
Gate
Dielectric
(oxide)
Drain
(Collector)
PMOS
NMOS is similar
(swap P and N)
Background: Electron Bands
Electrons in an atom can hold only certain energy levels
(allowed levels, quantized energy levels)
Solution of Schroedinger’s equation
When two identical atoms come close (eg. Silicon and silicon),
electron levels split
Pauli’s exclusion principle for fermions
almost always valid (*neutron stars, black holes)
When many atoms come together, allowed energy levels form
“bands”
Electrons temporal/spatial position given by wave function
(uncertainity principle)
Background: Bands
1 Atom
Allowed
Energy
Levels
N Atom
Allowed
Energy
Levels
When many atoms come together, the energy bands form
Background: Bands
Energy bands and gaps depend on space between the atoms
Energy
Space between atoms
Background: Solid groups
Solids:
Ionic bond, covalent bond, metallic bond
insulator, metal, semiconductor
Resistivity
insulator: > 1Mohm-cm
conductor: < 10 uohm-cm
at room temperature
Background: Band gap
Energy bands and gaps depend on space between the atoms
METAL
INSULATOR
Filled levels
Empty levels
Energy
BAND GAP
Space between atoms
Space between atoms
Background: Bandgap
Semi conductors similar to insulators with small band gap (
1eV) (Insulators > 3eV)
Valence band : Top most occupied band
Conduction band: lowest empty band
Valence and conduction bands overlap: Metal
Band gap: DE between top of valence band and bottom of
conduction band
Metals: Band overlap
Background: Resistance vs Temp
Indirect and Direct Band Gap
Silicon - indirect, GaAs- Direct band gap
phonon assisted jump (momentum, energy)
Resistance vs Temp
phonon scattering: metal:
electron in conduction bands/ holes in valence bands:
semiconductor
Background: Semiconductors
Silicon is “intrinsic” semiconductor
Addition of other ‘contaminant’ (Dopant) to alter its
conductivity : Extrinsic
N Type (negative) or P Type (positive)
Donor electron, Acceptor hole (larger effective
mass)
Phosphorous for N Type, Boron for P Type (for
Overall neutrality is maintained (number
IIIA
IVA
VA
VIA
example)
5
6
7
8
of protons = number of electrons)
B C N O
13
Counter doping (when some P and some
N type materials are added)
(junction is where N = P)
Al
14
Si
31
15
P
32
16
S
33
34
Ga Ge As Se
49
In
50
51
Sn Sb Te
52
Background: Conduction
For intrinsic semiconductors (based on calculations)
EC EF
n N c exp
kT
EF EV
p NV exp
kT
EF - Fermi level. Energy where the prob(electron) = 0.5
= half way between EC and EV for semiconductor
Eg
EC EV
kT
np N c NV exp
NC NV e
kT
For intrinsic case, n = p
Background: Doping
N Atom
Allowed
Energy
Levels
Conduction
N Doping
P Doping
EF
Valence
Doping shifts Fermi level, smaller “band gap”
Extrinsic Semiconductor : “n” not equal to “p”
Dopant Valence Band
Background: Doping
Majority carrier, Minority carrier
Carrier Mobility
hole has heavier (effective) mass
less mobile
P-N junction
depletion region
PN junction
EC
EF
EV
N Type
P Type
EF
EF
N
P
Background: Bias
Reverse Bias and Forward Bias
N connected with -ve, P with +ve : Forward Bias
Opposite polarity : Reverse Bias
increase in depletion region
I-V curve
I
Reverse
Forward
MOS CAPACITOR
N
Oxide +- +- +- +P
+
Accumulation
+
+ + N+ +
- - - P
Depletion
+
+ + N+ +
- - - P
-
Inversion
Mobile electrons
at the oxide
Oxide
+
depletion
Simple Capacitor
interface.
two capacitors in series
Immobile -ve ions in the solid
Similar results if the ‘top’ N is replaced by metal
Originally metal was used
Metal-Oxide-Semiconductor structure or MOS structure
MOS FET
Transistor using Electric Field to control
Field Effect Transistor or FET
Made with MOS ==> MOSFET
Other types: JFET (Junction FET), MESFET etc
Drain
(Collector)
N-MOSFET (NMOS in short)
Gate (Base)
+
-
N+
N+
P
N+
Source
(Emitter)
MOS FET: Structure
NMOS: By definition, Source is at lower voltage than drain
PMOS: By definition, Source is at higher voltage than drain
NMOS: IDS (Drain to Source current) is positive
PMOS: IDS is negative
NMOS
Drain
(Collector)
Gate (Base)
+
-
N+
N+
P
N+
Source
(Emitter)
NMOS: Operation
Negative gate voltage:
Accumulation of holes in P region, near oxide
No formation of Channel
NMOS
Drain
(Collector)
Gate (Base)
+
N+
- -N+
-++++
P
N+
Source
(Emitter)
NMOS: Operation
Positive gate voltage:
Depletion of holes near the oxide
No channel formation
NMOS
Drain
(Collector)
Gate (Base)
+
N+
N+
+
P
N+
Source
(Emitter)
NMOS: Operation
MORE positive gate voltage
Inversion: Accumulation of electrons in P region (minority
carrier is more than the majority carrier) near oxide
Formation of Channel
NMOS
Drain
(Collector)
Gate (Base)
+
N+
N+
++++
---P
Trapped charges in gate ==> Flash memory
N+
Source
(Emitter)
NMOS: Operation
Threshold Voltage VT, Gate Voltage VG , Source Voltage VS
and Drain Voltage VD.
If Source is grounded, then VDS is same as VD
NMOS inversion
Drain
(Collector)
Gate (Base)
+
N+
N+
++++
---P
N+
Source
(Emitter)
NFET Behavior
For VG > VT , Channel forms
(VG - VT ) is the overdrive
Small shifts in VG causes large changes in IDS
VT depends on Doping in P and oxide thickness
IDS depends on VG and VDS
Analogy: Water flow (from MIT EE web site)
Source and Drains are two tanks, Channel is pipe connecting
two tanks and Gate is the valve
VDS is the height difference between source and drain tanks
VG indicates the position of valve
Opening the valve more increases flow (electron
concentration)
Increasing the height difference increases the flow (field)
NFET Behavior
Beyond a limit, increase in height VDS changes the behavior
No more increase in current flow (for a given VG)
NFET I-V curve
When VDS is very large (> VG-VT)
VG-VT=0.6 V
LINEAR
IDS
Saturation current
SATURATION
VG-VT=0.4 V
IDS
VG - VT = 0.2V
VT
VG = VT
VG
V
CUT OFF DS
IDSAT depends on VG and on the gate length (channel length)
NMOS: Operation
NMOS
Drain
(Collector)
Gate (Base)
+
N+
N+
++++
---P
-
Source
(Emitter)
N+
NOTE: Inversion layer will be thicker near source and thinner
near drain
NMOS: Pinch Off
NMOS
Drain
(Collector)
Gate (Base)
+
N+
N+
++++
---P
-
Source
(Emitter)
N+
When VDS is very high (= VG-VT), Inversion layer thickness
becomes zero near drain
Pinch off
However, no barrier to current flow
NMOS: Beyond Pinch Off
NMOS
Drain
(Collector)
Gate (Base)
+
N+
N+
++++
---P
-
Source
(Emitter)
N+
Beyond pinch off, increasing VDS does not cause increase in ID
However, channel length becomes shorter and there is slight
increase in ID
MOSFET: Some issues
Above conclusions based on VS=0 (grounded)
Otherwise, VG refers to VGS
When the field is high, electrons have high energy
can damage the silicon/ oxide (gate) interface near drain
Hot Carrier Effect
Gate (Base)
Drain
Source
(Collector) +
- (Emitter)
N+
++++
---N+
N+
P
Reduce the doping concentration near Drain
Lightly Doped Drain (LDD)
MOSFET: Some issues
When channel is very short (gate length is short), depletion
regions in source and drain may merge
short channel effect
increase doping to keep VT non zero
Refer to Device books for details of the above and other issues
MOSFET: Speed
The time it takes to switch a transistor ON / OFF decides the
speed of a digital circuit
shorter Gate length ==> Faster switching ON/OFF
Drain
(Collector)
Gate (Base)
+
N+
N+
++++
----
P
N+
Source
(Emitter)
MOSFET: Device
If the base is also lightly doped N, it is depletion mode device
(ON by default). Current schematic is Enhancement mode device
(OFF by default). Most devices are Enhancement mode devices
Depletion devices in imperfect crystals (historical)
Drain
(Collector)
Gate (Base)
+
N+
N+
++++
----
P
N+
Source
(Emitter)
FEOL: MOSFET
Combination of PMOS and NMOS is called “Complementary
MOS” or CMOS
When a voltage is applied to the gates, one transistor is on and
the other is off
CMOS - Advantages
Scalable
Power consumption is low
Any any point of time, one of the devices
is “off”