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Damu, 2008EGE535 Fall 08, Lecture 21 EGE535 Low Power VLSI Design Lecture #2 MOSFET Basics
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Damu, 2008EGE535 Fall 08, Lecture 22 Intrinsic and extrinsic Semiconductors Intrinsic semiconductor (no carriers at 0 0 K) + + + + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + Intrinsic semiconductor (n i = p i at room temp ) N type semiconductor (n i >> p i at room temp) N type semiconductor (n i >> p i at room temp) P type semiconductor (p i >> n i at room temp)
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Damu, 2008EGE535 Fall 08, Lecture 23 PN Junction P- Depletion Region + + + + + + + + + + + + + + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + N type semiconductor (n i >> p i at room temp) P type semiconductor (p i >> n i at room temp) P-N Junction N+ P N
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Damu, 2008EGE535 Fall 08, Lecture 24 PN Junction – Reverse Biasing Depletion width increases + + + + + + + + + + + + + + + + + + + + + + + + + + + + + ++ + + + Reverse bias + + + + + + + + + + + + + + + + + + + + + + + + + + + ++ + + + P N
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Damu, 2008EGE535 Fall 08, Lecture 25 nMOSFET p- silicon L W SiO 2 Gate Source Drain Polysilicon n+ p+ silicon Bulk (substrate) t ox
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Damu, 2008EGE535 Fall 08, Lecture 26 pMOSFET p-silicon L W Gate Source Drain Polysilicon n+ n well p+ Well p+silicon Bulk (substrate)
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Damu, 2008EGE535 Fall 08, Lecture 27 Objective: to have current flow Objective: to have current flow L Gate Source Drain + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + V ds I ds n+ - - - - - - - - - - - - - - - - - - - - - -- - - - -- -- - - - - - - - - - - - - P- + + + + + + + + + ++ + + + + + + Gate Source Drain + +++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + V ds I ds n+ - - - - - - - - - - - - - - - - - - - - - -- - - - -- -- - - - - - - - - - - - - P- + + + + + + + + + ++ + + + + + + between Source and Drain between Source and Drain If this can be achieved !
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Damu, 2008EGE535 Fall 08, Lecture 28 NMOS Transistor p- silicon L W SiO 2 Gate Source Drain Polysilicon n+ p+ silicon Bulk (substrate) t ox Poly SiO 2 p-type + + + + + + + + + + + + + + + + + + + p- L SiO 2 Gate substrate t ox Capacitor Gate Substrate
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Damu, 2008EGE535 Fall 08, Lecture 29 Capacitor Charging + + + + + + + + + + + _ _ _ _ _ _ _ _ _ + + + + + + + _ _ _ _ _ _ _ _ _ _ _
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Damu, 2008EGE535 Fall 08, Lecture 210 The MOS Capacitor + + + + + + + + + + + + + + + + + + + SiO 2 Poly Holes accumulate near the top Negative Voltage to Poly + + Flat Band Accumulation + _ + + + + + + + + + + + + + + + + + + + SiO 2 Poly + + + +
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Damu, 2008EGE535 Fall 08, Lecture 211 The MOS Capacitor Very Small Positive Voltage to Poly Flat Band Depletion + _ Holes are repelled, depleting the top + + + + + + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + SiO 2 Poly
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Damu, 2008EGE535 Fall 08, Lecture 212 The MOS Capacitor
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Damu, 2008EGE535 Fall 08, Lecture 213 Threshold Voltage V th V gs
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Damu, 2008EGE535 Fall 08, Lecture 214 Strong Inversion
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Damu, 2008EGE535 Fall 08, Lecture 215 Threshold Voltage V th Much More Positive n >> Ions V >> V th Weak Inversion n<< Ions V < V th Moderate inversion n Ions V = V th Strong inversion V th Minimum Voltage for Inversion More Positive Less Positive + + + + + + + + + + + + ++ + + + + SiO 2 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + ++++++++ + + + + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
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Damu, 2008EGE535 Fall 08, Lecture 216 Cutoff: I ds = 0 V ds V gs + + D S G I ds - - =0
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Damu, 2008EGE535 Fall 08, Lecture 217 First Approximation: Threshold Voltage p- L Gate Source Drain < V th + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + n+ + + + + + + + + + + ++ + + + + + + + + ++ + + + + + V gs No surface electrons p- L Gate Source Drain > V th + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + n+ + + + + + + + + + + ++ + + + + + + + + ++ + + + + + V gs Plenty of surface electrons
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Damu, 2008EGE535 Fall 08, Lecture 218 Surface Charge with V gs p- L Gate Source Drain > V th + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + n+ + + + + + + + + + + ++ + + + + + + + + ++ + + + + + V gs Enough electrons p- L Gate Source Drain > >V th + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + n+ + + + + + + + + + + ++ + + + + + + + + ++ + + + + + V gs Much More electrons
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Damu, 2008EGE535 Fall 08, Lecture 219 Cutoff: I ds = 0 V ds V gs + + D S G I ds - - >V th =0 p- L Gate Source Drain > V th + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + I ds = 0 n+ + + + + + + + + + + ++ + + + + + + + + ++ + + + + + V gs V ds = 0
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Damu, 2008EGE535 Fall 08, Lecture 220 Linear: I ds increases with V ds V gs = 0.5V V gs = 1 V V ds I ds Linear: Resistive region p- L Gate Source Drain V ds < < V gs -V th V gs > V th + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + I ds > 0 n+ + + + + + + + + + + ++ + + V ds << 2(V gs – V th ) Neglect V ds 2 I ds
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Damu, 2008EGE535 Fall 08, Lecture 221Example V gs = 0.5V V gs = 1 V V ds I ds Resistive region Source Drain 1V 2V + + + + + + + + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + I ds > 0 n+ 0.2.5.7 1V S D 2V 1.8 1.5 1.3 1 0.2.5.7 1V V th =0.8V V gs V ds + + + + + + + + + + + + P- + + + I ds Linear : I ds
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Damu, 2008EGE535 Fall 08, Lecture 222 Pinch Off: V ds = V gs -V th V gs = 0.5V V gs = 1 V V ds I ds V gs = 2 V I ds V ds = V gs -V th Nonlinear V ds = V gs – V th V gd = V gs – (V gs –V th ) = V th
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Damu, 2008EGE535 Fall 08, Lecture 223 Saturation: I ds independent of V ds For V ds >V gs -V th Vds = Vgs-V th Velocity saturation: I ds constant V ds > V gs -V th V gs > V th I ds sat Source Drain + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + n+ p-silicon Pinch Off extends No channel !! + + + + + + ++ + + ++ + ++ + + + + + + + + + ++ + + + + + + + + + + + V ds I ds I ds Saturation
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Damu, 2008EGE535 Fall 08, Lecture 224 Regions of Transistor Operation 1. Linear region : V GS > V th V DS < V GS – V th V th - threshold voltage 2. Saturation region: V GS > V th V DS V GS - V th Deep Triode V ds I ds I ds Saturation resistor I-V curve Triode region Saturation region V gs =0.5V V gs =1V V gs =2V X X X a b c
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Damu, 2008EGE535 Fall 08, Lecture 225 Current Equation
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Damu, 2008EGE535 Fall 08, Lecture 226 Channel Length Modulation > V gs -V th > V th I ds Source Drain + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + n+ p-silicon Pinch Off extends channel length reduces + + + + + + ++ + + ++ + ++ + + + + + + + + + ++ + + + + + + + + + + + V ds I ds I ds Saturation -V A 0.005 0.02V -1
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Damu, 2008EGE535 Fall 08, Lecture 227PMOSFET
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Damu, 2008EGE535 Fall 08, Lecture 228 PMOSFET: No current L Gate Source Drain _ + + + + + + + + + + ++ + + + I ds = 0 N- + + + + + + + P+ + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + +++ + + + + + + + + + + + + + + + + + + + + +++ + ++ + + + + + + + + + |V gs | > |V th | V ds = 0 V th Negative voltage V ds Negative voltage
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Damu, 2008EGE535 Fall 08, Lecture 229 PMOSFET: Current flow L Gate Source Drain _ + + + + + + + + + + ++ + + + I ds > 0 N- + + + + + + + P+ + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + +++ + + + + + + + + + + + + + + + + + + + + +++ + ++ + + + + + + + + + |V gs | > |V th | | V ds | > 0 V gs & V ds Negative voltages
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Damu, 2008EGE535 Fall 08, Lecture 230 PMOS Transistor 1. Linear region : |V GS | > |V th | V th - threshold voltage (Min for inversion layer) |V DS | << |V GS – V th | |V DS | < |V GS – V th | 2. Saturation region: |V GS | > |V th | |V DS | |V GS - V th | Deep Triode Triode
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Damu, 2008EGE535 Fall 08, Lecture 231 MOSFET Symbols
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