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The Devices Digital Integrated Circuit Design Andrea Bonfanti DEIB
EE141 Digital Integrated Circuit Design Andrea Bonfanti DEIB Via Golgi 40, Milano The Devices
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EE141 Aims of this chapter Present intuitive understanding of device operation Introduction of basic device equations Introduction of models for manual analysis Analysis of secondary and deep-sub-micron effects Future trends
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The Diode Mostly occurring as parasitic element in Digital ICs n p B A
EE141 The Diode n p B A SiO 2 Al Cross-section of pn -junction in an IC process One-dimensional representation diode symbol Mostly occurring as parasitic element in Digital ICs
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EE141 Depletion Region
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EE141 Diode Current
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EE141 Forward Bias Typically avoided in Digital ICs
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Reverse Bias The Dominant Operation Mode
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Models for Manual Analysis
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Junction Capacitance
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Diffusion Capacitance
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Secondary Effects Avalanche Breakdown 0.1 ) A ( I –0.1 –25.0 –15.0
I D –0.1 –25.0 –15.0 –5.0 5.0 V (V) D Avalanche Breakdown
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Diode Model
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SPICE Parameters
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What is a Transistor? A Switch! |V GS | An MOS Transistor
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The MOS Transistor Polysilicon Aluminum
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MOS Transistors - Types and Symbols
G G S S NMOS Enhancement NMOS Depletion D D G G B S S NMOS with PMOS Enhancement Bulk Contact
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Threshold Voltage: Concept
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The Threshold Voltage
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The Body Effect
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Current-Voltage Relations A good ol’ transistor
0.5 1 1.5 2 2.5 3 4 5 6 x 10 -4 V DS (V) I D (A) VGS= 2.5 V VGS= 2.0 V VGS= 1.5 V VGS= 1.0 V Resistive Saturation VDS = VGS - VT Quadratic Relationship
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Transistor in Linear
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Transistor in Saturation
Pinch-off
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Current-Voltage Relations Long-Channel Device
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A model for manual analysis
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Current-Voltage Relations The Deep-Submicron Era
-4 V DS (V) 0.5 1 1.5 2 2.5 x 10 I D (A) VGS= 2.5 V VGS= 2.0 V VGS= 1.5 V VGS= 1.0 V Early Saturation Linear Relationship
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Velocity Saturation u ( m / s ) u = 10 x = 1.5 x (V/µm) 5 sat n c
Constant velocity Constant mobility (slope = µ) x c = 1.5 x (V/µm)
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Perspective I V Long-channel device V = V Short-channel device V V - V
GS DD Short-channel device V V - V V DSAT GS T DS
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ID versus VGS linear quadratic quadratic Long Channel Short Channel
0.5 1 1.5 2 2.5 3 4 5 6 x 10 -4 V GS (V) I D (A) 0.5 1 1.5 2 2.5 x 10 -4 V GS (V) I D (A) linear quadratic quadratic Long Channel Short Channel
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ID versus VDS Resistive Saturation VDS = VGS - VT Long Channel
0.5 1 1.5 2 2.5 3 4 5 6 x 10 -4 V DS (V) I D (A) VGS= 2.5 V VGS= 2.0 V VGS= 1.5 V VGS= 1.0 V Resistive Saturation VDS = VGS - VT -4 V DS (V) 0.5 1 1.5 2 2.5 x 10 I D (A) VGS= 2.5 V VGS= 2.0 V VGS= 1.5 V VGS= 1.0 V Long Channel Short Channel
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A unified model for manual analysis
G B
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Simple Model versus SPICE
0.5 1 1.5 2 2.5 x 10 -4 Velocity Saturated Linear Saturated VDSAT=VGT VDS=VDSAT VDS=VGT (A) I D V (V) DS
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A PMOS Transistor Assume all variables negative! -2.5 -2 -1.5 -1 -0.5
-0.8 -0.6 -0.4 -0.2 x 10 -4 V DS (V) I D (A) VGS = -1.0V VGS = -1.5V VGS = -2.0V Assume all variables negative! VGS = -2.5V
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Transistor Model for Manual Analysis
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The Transistor as a Switch
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The Transistor as a Switch
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The Transistor as a Switch
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MOS Capacitances Dynamic Behavior
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Dynamic Behavior of MOS Transistor
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The Gate Capacitance x L Polysilicon gate Top view Gate-bulk overlap
d L Polysilicon gate Top view Gate-bulk overlap Source n + Drain W t ox n + Cross section L Gate oxide
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Gate Capacitance Cut-off Resistive Saturation < Most important regions in digital design: saturation and cut-off
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Gate Capacitance Capacitance as a function of VGS
(with VDS = 0) Capacitance as a function of the degree of saturation
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Measuring the Gate Cap
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Diffusion Capacitance
Channel-stop implant N 1 A Side wall Source W N D Bottom x Side wall j Channel L S Substrate N A
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Junction Capacitance
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Linearizing the Junction Capacitance
Replace non-linear capacitance by large-signal equivalent linear capacitance which displaces equal charge over voltage swing of interest
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Capacitances in 0.25 mm CMOS process
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The Sub-Micron MOS Transistor
Threshold Variations Subthreshold Conduction Parasitic Resistances
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Threshold Variations V V Low V threshold Long-channel threshold VDS L
Threshold as a function of Drain-induced barrier lowering the length (for low V ) (for low L ) DS
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Sub-Threshold Conduction
0.5 1 1.5 2 2.5 10 -12 -10 -8 -6 -4 -2 V GS (V) I D (A) VT Linear Exponential Quadratic The Slope Factor S is DVGS for ID2/ID1 =10 Typical values for S: mV/decade
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Sub-Threshold ID vs VGS
VDS from 0 to 0.5V
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Sub-Threshold ID vs VDS
VGS from 0 to 0.3V
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Summary of MOSFET Operating Regions
Strong Inversion VGS > VT Linear (Resistive) VDS < VDSAT Saturated (Constant Current) VDS VDSAT Weak Inversion (Sub-Threshold) VGS VT Exponential in VGS with linear VDS dependence
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Parasitic Resistances
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Latch-up Equivalent model
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Future Perspectives 25 nm FINFET MOS transistor
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