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ICCD 2006 Mohanty & Kougianos 1 Steady and Transient State Analysis of Gate Leakage Current in Nanoscale CMOS Logic Gates Saraju P. Mohanty and Elias Kougianos VLSI Design and CAD Laboratory (VDCL) Dept of Computer Science and Engineering University of North Texas, Denton, TX, 76203. Email: [email protected]

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Page 1: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 1

Steady and Transient State Analysis of Gate Leakage Current in Nanoscale CMOS Logic Gates

Saraju P. Mohanty and Elias KougianosVLSI Design and CAD Laboratory (VDCL)

Dept of Computer Science and EngineeringUniversity of North Texas, Denton, TX, 76203.

Email: [email protected]

Page 2: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 2

Outline of the Talk

CMOS scaling –Trends and EffectsPower consumption redistribution due to scaling

Components of Power DissipationComponents of Leakage

Gate leakage analysis – Proposed MetricsGate leakage variation with process and design parameters

Page 3: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 3

CMOS Driven Applications

Almost the entire industrial revolution today is driven by CMOS.

Page 4: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 4

CMOS Technology Scalingand

Power Dissipation Redistribution

Page 5: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 5

Scaling Trend – Transistor Count

1967 2007

Increase in Transistor Count per chip

VLSI technology is the fastest growing technology in the human history.

Page 6: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 6

What is Physically Scaled ? (Gate Length)

Gate length of the transistor has been decreasing with technology scaling.All the other dimensions including gate oxide thickness have been scaled down to support this trend.

Source: Pedram ASPDAC 2004, Osburn IBM JRD Mar2002

Page 7: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 7

Other Parameters Scaled?

0.51 0.020.2 0.1Channel Length (µm)

5

21

0.2

0.1

0.5

0.20.2

1010Su

pply

and

Thr

esho

ld V

olta

ges

(V)

Vdd

Vth

Tox

Source: Taur IBM JRD MAR 2002

Supply Voltage

Threshold Voltage

Gate Oxide Thickness

Page 8: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 8

Power Dissipation Components in Nano-CMOS

Source: Weste and Harris 2005

Total Power Dissipation

Static Dissipation Dynamic Dissipation

Sub-threshold current

Tunneling currentTunneling current

Reverse-biased diode Leakage

Capacitive Switching

Short circuit

Contention current

Tunneling currentTunneling current

Page 9: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 9

Leakages in Nanoscale CMOS

P-Substrate

N+ N+

Source DrainGate

I1 : reverse bias pn junction (both ON & OFF)I2 : subthreshold leakage (OFF )I3 :oxide tunneling current (both ON & OFF)I4 : gate current due to hot carrier injection (both ON & OFF)I5 : gate induced drain leakage (OFF)I6 : channel punch through current (OFF)

I3 , I4

I1

I2I6

I5 Source: Roy Proceedings of IEEE Feb2003

Page 10: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 10

Power Dissipation: Redistribution

Source: Hansen 2004

Tunne

ling

Dynamic

Sub-

Thre

shol

d

Gate Length

Chronological (Year)

Nor

mal

ized

Pow

er D

issi

patio

n

Phy

sica

l Gat

e Le

ngth

(nm

)

Gate leakage will predominate for sub 65-nm technology.

Page 11: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 11

Scaling Trends and Effects: Summary

Scaling improves Transistor Density of chipFunctionality on a chip Speed, Frequency, and Performance

Scaling and power dissipationActive power remains almost constantComponents of leakage power increase in number and in magnitude.Gate leakage (tunneling) predominates for sub 65-nm technology.

Page 12: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 12

Contributions of Our Paperand

Related Research

Page 13: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 13

Contributions of Our Paper

1. Both ON and OFF state gate leakage are significant.

2. During transition of states there is transient effect is gate tunneling current.

3. New metrics: Itun and Ctun

4. Ctun: Manifests to intra-device loading effect of the tunneling current

5. NOR Vs NAND in terms of Itun and Ctun

6. Study process/design variation on Itun and Ctun

Page 14: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 14

Contributions of Our Paper(Salient Feature)

A new metric, the effective tunneling capacitanceessentially quantifies the intra-device loading effect of the tunneling current and also gives a qualitative idea of the driving capacity of the logic gate.

How to quantify it at transistor and logic-gate level??

Page 15: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 15

Gate Capacitance of a Transistor(Intrinsic)

Page 16: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 16

Gate Capacitance of a Transistor(Tunneling: Proposed)

We propose that transient in gate tunneling current due to state transitions are manifested as capacitances.

Page 17: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 17

Related Research Works(Gate Leakage Analysis)

Ghibaudo 2004: Characterization and modeling issues of ultra thin oxide devicesMukhopadhyay 2003: Characterization methodology is proposed along with reductionYang 1999: Direct tunneling current and CV measurements in MOS devices used to modelHertani 2005: Provide leakage analysis of NAND, NOR, XOR gates

Page 18: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 18

Related Research Works

No work characterize both ON and OFFNo work examine the device or a logic gate when it changes stated:

ON OFF or OFF ON

Page 19: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 19

Analysis in a

CMOS Transistor

Page 20: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 20

Outline: Transistor Level

Dynamics of gate oxide tunneling in a transistorSPICE model for gate leakageON, OFF, and transition states of a transistorGate leakage in ON, OFF, and transition states of a transistor

Page 21: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 21

Gate Leakage Components(BSIM4 Model)

Igs, Igd: tunneling through overlap of gate and diffusions Igcs, Igcd: tunneling from the gate to the diffusions via channelIgb: tunneling from the gate to the bulk via the channel

Page 22: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 22

NMOS Transistor: ON

Page 23: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 23

NMOS Transistor: OFF

Page 24: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 24

NMOS Transistor: Transition

Page 25: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 25

Gate Leakage for a MOS: Iox

Calculated by evaluating both the source and drain components

For a MOS, Iox = (|Igs| +|Igd| +|Igcs| +|Igcd| +|Igb|)

Values of individual components depends on states: ON, OFF, or transition

Page 26: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 26

NMOS Gate Leakage (For a Switching Cycle)

Fig. 1

Fig. 2

Fig. 3

Page 27: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 27

NMOS Gate Leakage(Observation and Metrics)

Gate leakage happens in ON state: IONGate leakage happens in OFF state: IOFFGate leakage happens during transition: tun

effC

Page 28: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 28

NMOS Gate Leakage:

tungcsC tun

gbCtungsC tunCgcd

tuneffC

tungdC

tuneffC

5 components

⎟⎠⎞

⎜⎝⎛−

=

dtdV

IICg

OFFONtuneff

rDD

OFFON tV

II −=

We propose to quantify as:

(for equal rise/fall time)

Page 29: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 29

NMOS Gate Leakage: Summary

The behavior of the device in terms of gate tunneling leakage must be characterized not only during the steady states but also during transient states.

Page 30: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 30

Transistor Logic Gate

How do we quantify the same metrics at logic level??State dependent or state independent??

Page 31: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 31

Analysis in

Logic Gates

Page 32: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 32

Gate Leakage in 2-input NAND(State Specific)

input 00 input 01 input 10 input 11

I00 I01 I10 I11

Page 33: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 33

Gate Leakage in 2-input NAND(State Specific)

∑=iMOS

ioxLogicox IStateI,

,, )(

00I 01I

Four different states for 2-input NAND:

11I

)(, StateI Logicox

10I

Page 34: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 34

Gate Leakage in 2-input NAND(State Independent)

Itun ≡ State Independent average gate leakage current of a logic gate

)(41

11100100 IIIIItun +++=

This is a measure of gate leakage of a logic gate during its steady state.

Page 35: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 35

Gate Leakage in 2-input NAND(Transient Study)

Input Voltages

Output Voltage

I00 I01 I10 I11

Gat

e C

urre

nt in

indi

vidu

al M

OS

Best Case Worst Case

Page 36: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 36

Gate Leakage in 2-input NOR (Transient Study)

Output Voltage

Input Voltages

Best Case Worst Case

I00 I01 I10 I11

Gat

e C

urre

nt in

indi

vidu

al M

OS

Page 37: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 37

Gate Leakage in Logic Gate(Transient Study)

Ctun ≡ Effective tunneling capacitance at the input of a logic gate

⎟⎠⎞

⎜⎝⎛

−=

dtdV

IICin

icictun

logmin

logmax

rDD

icic

tV

II logmin

logmax −

=

We propose to quantify as:

(for equal rise/fall time)

Page 38: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 38

Effect of Process and

Design ParameterVariation

Page 39: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 39

Gate Leakage in 2-input Logic Gates (Tox Variation)

Itun (logscale) versus Tox Ctun (logscale) versus Tox

NOR

NANDNOR

NAND

Page 40: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 40

Gate Leakage in 2-input Logic Gates (VDD Variation)

Itun (logscale) versus VDD Ctun (logscale) versus VDD

NAND

NOR NAND

NOR

Page 41: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 41

Summaryand

Conclusions

Page 42: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 42

Gate Leakage in 2-input Logic Gates (Observation)

Both ON and OFF states contribute to gate leakageTransient effect is significant and can be captured via effective tunneling capacitanceItun ≡ State Independent average gate leakage current of a logic gateCtun ≡ Effective tunneling capacitance at the input of a logic gateItun is larger for NORCtun is larger for NAND

Page 43: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 43

Usefulness of the Proposed Metrics

The metrics allow designers to account for gate tunneling effect in nano-CMOS based circuit designs.Itun - additive to static power consumptionCtun – additive to intrinsic gate capacitance

Clogic = Ctun + Cintrinsic

All three needs to be taken into account for effective total (switching, subthreshold, gate leakage) power optimization

Page 44: Steady and Transient State Analysis of Gate Leakage ...ICCD 2006 Mohanty & Kougianos 2 Outline of the Talk CMOS scaling –Trends and Effects Power consumption redistribution due to

ICCD 2006 Mohanty & Kougianos 44

For more information:http://www.cse.unt.edu/~smohanty