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CSCE 612: VLSI System Design. Instructor: Jason D. Bakos. MOSFET Theory. p-type body: majority carriers are holes. accumulation mode. V t depends on doping and t ox. Regions of Operation. Gate to channel: V gs near source V gd near drain. Switching delay is determined by:
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CSCE 612: VLSI System Design Instructor: Jason D. Bakos
MOSFET Theory p-type body: majority carriers are holes accumulation mode Vt depends on doping and tox
Regions of Operation Gate to channel: Vgs near source Vgd near drain • Switching delay is determined by: • time required to charge/discharge gate • time for current to travel across channel drain
Ideal I-V Characteristics Linear region (charge) (carrier velocity, m is mobility) (electric field)
Ideal I-V Characteristics Saturation region: into equation… nmos cutoff linear saturation Holes have less mobility than electrons, so pmos’s provide less current (and are slower) than nmos’s of the same size pmos Which parameters do we change to make MOSFETs faster?
Nonideal I-V Effects • Velocity saturation and mobility degradation • Lower Ids than expected • At high lateral field strength (Vds/L), carrier velocity stops increasing linearly with field strength • At high vertical field strength (Vgs / tox) the carriers scatter more often • Channel length modulation • Saturation current increases with higher Vds • Subthreshold conduction • Current drops exponentially when Vgs drops below Vt (not zero) • Body effect • Vt affected by source voltage relative to body voltage • Junction leakage • S/D leaks current into substrate/well • Tunneling • Gate current due to thin gate oxides • Temperature dependence • Mobility and threshold voltage decrease with rising temperature
C-V Characteristics • Capacitors are bad • Slow down circuit (need to use more power), creates crosstalk (noise) • Gate is a good capacitor • Gate is one plate, channel is the other • Needed for operation: attracts charge to invert channel • Source/drain are also capacitors to body (p-n junction) • Parasitic capacitance • “Diffusion capacitance” • Depends on diffusion area, perimeter, depth, doping levels, and voltage • Make as small as possible (also reduces resistance)
Gate Capacitance • Gate’s capacitance • Relative to source terminal • Cgs=COXWL • Assuming minimum length… • Cgs=CpermW • Cperm = COXL = (eOX/tOX)L • Fab processes reduce length and oxide thickness simultaneously • Keeps Cperm relatively constant • 1.5 – 2 fF / um of width
Gate Capacitance Five components: Intrinsic: Cgb, Cgs, Cgd Overlap: Cgs(overlap), Cgd(overlap) C0 = WLCox Cgsol=Cgdol=0.2-0.4 fF / um of width
Parasitic Capacitance • Source and drain capacitance • From reverse-biased PN junction (diffusion to body) • Csb, Cdb • Depends of area and perimeter of diffusion, depth, doping level, voltage • Diffusion has high capacitance and resistance • Made small as possible in layout • Approximately same as gate capacitance (1.5 – 2 fF / um of gate width) Isolated, shared, and merged diffusion regions for transistors in series
Switch-Level RC Delay Models Delay can be estimated as R * 6C FET passing weak value has twice the resistance