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Design and Implementation of VLSI Systems
                (EN1600)
                lecture02
Impact of doping on silicon resistivity
                                                  silicon
                                        4.995×1022 atoms in cm3
                                        Resistivity 3.2 × 105 Ωcm


     dope with
                                                       dope with
    phosphorous
                                                       boron →
    or arsenic →
                                                        p-type
       n-type




1 atom in billion ⇒ 88.6 Ωcm       1 atom in billion ⇒ 266.14 Ωcm
1 atom in million ⇒ 0.114 Ωcm      1 atom in million ⇒ 0.344 Ωcm
1 atom in thousand ⇒ 0.00174 Ωcm   1 atom in thousand ⇒ 0.00233 Ωcm
 ⇒ Electrons are more mobile/faster than holes
What happens if we sandwich p & n types?
                                            A           Al

                                             p

                                             n

                                            B
                                      One-dimensional
                                       representation




  In equilibrium, the drift and diffusion components of current
   are balanced; therefore the net current flowing across the
   junction is zero.
PN-junction regions of operation




                             A forward bias
In reverse bias, the width   decreases the potential
of the depletion region      drop across the
increases. The diode acts    junction. As a result,
as voltage-controlled        the magnitude of the
                             electric field decreases
capacitor.                   and the width of the
                             depletion region
                             narrows.
nMOS and pMOS transistors
 Each transistor consists of a stack of a conducting gate, an insulating
 layer of silicon dioxide and a semiconductor substrate (body or bulk)

  nMOS transistor                                                                                            pMOS transistor
                                                                                                              Source   Gate   Drain
    Source   Gate   Drain                                                            Polysilicon
                              Polysilicon
                                                                                         SiO2
                                 SiO2

                                                           polysilicon
                                                              gate
                                                                          W
     n+             n+                                                                                         p+             p+
                                             tox
              p     bulk Si                            L                           SiO2 gate oxide                      n     bulk Si
                                            n+                       n+        (good insulator, εox = 3.9)
                                                   p-type body




Body is typically grounded                                                    Body is typically at supply voltage
nMOS transistor
                                            Source    Gate   Drain
                                                                       Polysilicon
                                                                          SiO2



                                             n+              n+

                                                       p     bulk Si



g=0: When the gate is at a low voltage (VGS < VTN):
      p-type body is at low voltage
      source and drain-junctions diodes are OFF
      transistor is OFF, no current flows
g=1: When the gate is at a high voltage (VGS ≥ VTN):
        negative charge attracted to body
        inverts a channel under gate to n-type
        transistor ON, current flows, transistor
       can be viewed as a resistor
nMOS pass ‘0’ more strongly than ‘1’
                   Source   Gate   Drain
                                             Polysilicon
                                                SiO2



                    n+             n+

                             p     bulk Si




• Why does ‘1’ pass degraded?
pMOS transistor
                                                Source   Gate   Drain
                                  Polysilicon
                                     SiO2



                                                 p+             p+

                                                          n     bulk Si



 g=0: When the gate is at a low voltage (VGS < VTP):
         positive charge attracted to body
         inverts a channel under gate to p-type
         transistor ON, current flows
 g=1: When the gate is at a high voltage (VGS ≥ VTP):
         negative charge attracted to body
         source and drain junctions are OFF
         transistor OFF, no current flows
pMOS pass ‘1’ more strongly than ‘0’
                          Source   Gate   Drain
            Polysilicon
               SiO2



                           p+             p+

                                    n     bulk Si




  • Why does ‘0’ pass degraded?
An nMOS and pMOS make up an inverter




           pMOS + nMOS = CMOS
More CMOS gates
                                        B



                                  A
                                             B
                                                     F = AB

                                   0


What is this gate function?   What’s wrong about this design?
3-input NANDs




  What are the advantages of CMOS circuit style?
Series-Parallel Combinations
What are the transistor schematics of the
NOR gate?
AOI
Transmission gate

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Vlsi Lecture02

  • 1. Design and Implementation of VLSI Systems (EN1600) lecture02
  • 2. Impact of doping on silicon resistivity silicon 4.995×1022 atoms in cm3 Resistivity 3.2 × 105 Ωcm dope with dope with phosphorous boron → or arsenic → p-type n-type 1 atom in billion ⇒ 88.6 Ωcm 1 atom in billion ⇒ 266.14 Ωcm 1 atom in million ⇒ 0.114 Ωcm 1 atom in million ⇒ 0.344 Ωcm 1 atom in thousand ⇒ 0.00174 Ωcm 1 atom in thousand ⇒ 0.00233 Ωcm ⇒ Electrons are more mobile/faster than holes
  • 3. What happens if we sandwich p & n types? A Al p n B One-dimensional representation  In equilibrium, the drift and diffusion components of current are balanced; therefore the net current flowing across the junction is zero.
  • 4. PN-junction regions of operation A forward bias In reverse bias, the width decreases the potential of the depletion region drop across the increases. The diode acts junction. As a result, as voltage-controlled the magnitude of the electric field decreases capacitor. and the width of the depletion region narrows.
  • 5. nMOS and pMOS transistors Each transistor consists of a stack of a conducting gate, an insulating layer of silicon dioxide and a semiconductor substrate (body or bulk) nMOS transistor pMOS transistor Source Gate Drain Source Gate Drain Polysilicon Polysilicon SiO2 SiO2 polysilicon gate W n+ n+ p+ p+ tox p bulk Si L SiO2 gate oxide n bulk Si n+ n+ (good insulator, εox = 3.9) p-type body Body is typically grounded Body is typically at supply voltage
  • 6. nMOS transistor Source Gate Drain Polysilicon SiO2 n+ n+ p bulk Si g=0: When the gate is at a low voltage (VGS < VTN):  p-type body is at low voltage  source and drain-junctions diodes are OFF  transistor is OFF, no current flows g=1: When the gate is at a high voltage (VGS ≥ VTN):  negative charge attracted to body  inverts a channel under gate to n-type  transistor ON, current flows, transistor can be viewed as a resistor
  • 7. nMOS pass ‘0’ more strongly than ‘1’ Source Gate Drain Polysilicon SiO2 n+ n+ p bulk Si • Why does ‘1’ pass degraded?
  • 8. pMOS transistor Source Gate Drain Polysilicon SiO2 p+ p+ n bulk Si g=0: When the gate is at a low voltage (VGS < VTP):  positive charge attracted to body  inverts a channel under gate to p-type  transistor ON, current flows g=1: When the gate is at a high voltage (VGS ≥ VTP):  negative charge attracted to body  source and drain junctions are OFF  transistor OFF, no current flows
  • 9. pMOS pass ‘1’ more strongly than ‘0’ Source Gate Drain Polysilicon SiO2 p+ p+ n bulk Si • Why does ‘0’ pass degraded?
  • 10. An nMOS and pMOS make up an inverter pMOS + nMOS = CMOS
  • 11. More CMOS gates B A B F = AB 0 What is this gate function? What’s wrong about this design?
  • 12. 3-input NANDs What are the advantages of CMOS circuit style?
  • 14. What are the transistor schematics of the NOR gate?
  • 15. AOI