MOSFET Scaling - Northeastern University
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Transcript MOSFET Scaling - Northeastern University
MOSFET Scaling
ECE G201
Most Simple Model: Constant Field Scaling
E = VDD/L
after scaling becomes
E = (VDD/a)/(L/a)
…where a>1
next
Impurity Concentration Scaling
must also follow length scaling for depletion widths
Recall, that the source and drain are heavily doped and
therefore the junctions are one-sided (n+p for NMOS):
W = (2eVDD/qNA)1/2 …unscaled FET
W/a = (2eVDD / a2qNA)1/2
= [2e(VDD/a)/qaNA]1/2
Therefore, the doping levels must increase by a factor a if
the depletion widths are to scale down.
Historical Scaling
“Moore’s Law:” number of transistors/chip doubles every 18 mo.
1 generation: ~18 mo.
L decreases by
0.65/generation
(a = 1/0.65 = 1.5)
VDD decreases by
0.85/generation
Therefore, constant
field scaling (VDD/L) is
not strictly followed.
Generalized Scaling
Length: a = 1/0.65 = 1.5
Voltage: b = 1/0.85 = 1.2 Electric field: E increases
x1.25
Doping: ba = x1.8 (!)
note: not strictly followed
Junction Leakage Current
Tunneling current due to highly doped Drain-Body junctions
B
EC
EV
D
IJE
W
Recall: tunneling
T = Kexp(-2kW)
Gate Leakage Current
tox 0 means large tunneling current
A large oxide capacitance
is needed to control the channel
charge and subthreshold
current:
Vch = VGS(Cox’+CB’)/Cox’
…where Cox’ = eox/tox
since tox is limited by tunneling,
research is focused on alternate
gate dielectric materials with
larger permittivity (“high-K”).
High-K gate insulator reduces tunneling
current by allowing a thicker insulator
0.8 nm
High-K Issues
• Large number of interface traps, Qit
– impacts VT control and repeatability
• Process integration
– SiO2 is relatively easy (thermal oxidation of Si)
• Potential materials:
– HfO2, ZrO2, TiO2, BST….?
Subthreshold Current (revisited)
VDD scaling VT scaling
Total Stand-by Power
Poff = VDD(Ig + IJE + Ioff)
Scaling Directions (I)
SOI (DST, depleted substrate transistor)
Very thin body region (Tsi = L/3)
makes the source and drain
spreading resistance (RS) large.
Improves subthreshold slope, S
and decreases Ioff
Raised S/D improves ID (next)
Also decreases CjE
…and IJE
Raised S/D
(i.e., decreased RD, RS)
Switching Speed: High current (ION)
but low voltage and low IOFF
Scaling Directions (II)
The “FinFET” moves from a single gate to
double and triple gate structures.
Advantages:
Control of the channel: must be fully depleted!
Improved RS, RD due to thicker Si body
Gate
prevents “top” gate
Fin (30nm)
BOX
MOSFET Future (One Part of)
• International Technology Roadmap for
Semiconductors, 2006 update.
• Look at size, manufacturing technique.
Questions?
Scaling (a, e)
Tunneling
Subtheshold Current
High-K gate dielectric
Spreading Resistance (Raised S/D)
FinFETs