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Presented By:
                     Rajeev Kumar Mishra
            M.Tech Part-II (Communication Systems)
                          10305EN069

External Supervisor                          Internal Supervisor
Mr. Akhilesh Chandra Mishra                  Mr. Amritanshu Pandey
Senior Manager(TRnD, IOS Grp)                Assistant Professor
ST Microelectronics                          IT-BHU
Greater Noida (U.P)                          Varanasi (U.P)


               Department of Electronics Engineering
           Institute of Technology BHU (IT-BHU), Varanasi
    Overview of NBTI.
        Mechanism involved in NBTI (Reaction Diffusion Model).
        Effect on Various Technologies.
        Scaling Impact on NBTI.
        Temperature impact on NBTI.
        Possible impacts on Circuits.
        Concept of NBTI Stress.
        NBTI minimization.
        Age Analysis of a Buffer
        Comparison of Results for 45nm and 28nm Technologies.




                                                                                  2
Analysis & Simulation of NBTI Effects in Various Technologies   IT BHU Varanasi
    Study of Negative Bias Temperature Instability (NBTI) and its
           impact on Circuit.
          Temperature, Scaling and frequency impact on NBTI.
          Familiarity with the circuit simulation tools like ELDO, ALTO
          Familiarity with Input Output Library (I/O’s).
          Characterization of a Input Output cell (Bidirectional Buffer).
           (Finding the delay of a buffer, between IO and Core Side).
          Stress (Reliability) Analysis of a simple buffer and CMOS inverter.
          Stress (Reliability) Analysis across the 45nm & 28nm technologies.
          Finding worst operating conditions of NBTI for any technology.


                                                                                  3
Analysis & Simulation of NBTI Effects in Various Technologies   IT BHU Varanasi
• NBTI – Negative Bias Temperature Instability.
      •    PMOS parameters degradation in presence of                                      holes    close        to   the
           interface(Si/Si02) at high temperature (>80˚C).



                                                                                      -Vdd              Vdd
                                                                                                          S


                                                                                              G
                                                                                       0



                                                Stress          Relaxation   Stress

                                                  VG = 0        VG = Vdd

      •    NBTI is in general attributed to reaction-diffusion (R-D) model involving
           interfacial bond breaking(Si-H) followed by a diffusion process of hydrogen
           species.
                                                                                        June 15, 2012        4

                                                                                                                            4
Analysis & Simulation of NBTI Effects in Various Technologies                              IT BHU Varanasi
    RD (Reaction Diffusion) model explains physics of NBTI degradation
         in terms of different sub-processes.
               Hole Tunneling
               Hole Capture
               Dissociation.


        NBTI degradation originates from Silicon Hydrogen bonds (Si-H)
         breaking at Silicon-Silicon dioxide (Si-SiO2) interface during
         negative stress (Vgs=-Vdd).
        The broken Silicon bonds (Si-) Dangling Silicon, act as interface
         traps that are responsible for higher Vth and lower drain current.
        The number of interface traps (Nit) depends on Si-H bond breaking
         rate (kf) and Si- bond recovery rate (kr).
                                                                June 15, 2012     5

                                                                                      5
Analysis & Simulation of NBTI Effects in Various Technologies   IT BHU Varanasi
Fig. 2




      Dangling Si- trivalent silicon atoms with
      one unpaired valence electron
      Si3≡Si•, or Si2O≡Si• ,

                                                                              Mostly Temp. driven

                                                                      Mostly Field driven



     Where         is strongly Temp. Dependent
                                                                                  6

                                                                                              6
Analysis & Simulation of NBTI Effects in Various Technologies   IT BHU Varanasi
Relation between Threshold Voltage and Interface trapped charges

                      VT = V FB − 2φ F − Q B / C OX ,

                                       QF Qit (φ S )
                     VFB = φ MS      −      −
                                       C OX   COX
                                   Where Qf is the fixed charge density and
                                         Qit is interface trap density.

 The MOS drain current (sat) and transconductance is related with threshold voltage as,
                      ID = W( 2 L )µ     eff    COX (VG − VT )
                                                                 2



                      gm   = (W )µ              COX (VG − VT ).
                               2L         eff

                                                                               µ n0             µ P0
    Where     µeff is given by (modified by carrier                  µn =             µP =
    velocity saturation effect)
                                                                                V                V
                                                                            1 + DS           1 − DS
                                                                                LEC              LEC
                                                                                      June 15, 2012     7

                                                                                                            7
Analysis & Simulation of NBTI Effects in Various Technologies                         IT BHU Varanasi
Non Recoverable NBTI (Permanent)
             It is due to the interface traps generation.

             The electric field is able to break Si-H bonds located at the Silicon-
              oxide interface.
           Recoverable NBTI (Temporary)
             It is due to some pre-existing traps present in the gate oxide.

             The pre-existing traps get filled with holes coming from the
              channel of PMOS.
             These traps can be emptied when the stress voltage is removed.




               Fig. 3


                                                                June 15, 2012

                                                                                       8
Analysis & Simulation of NBTI Effects in Various Technologies   IT BHU Varanasi
Interface Traps:

         It is due to the Si-Si02 interface properties and
      dependent on the chemical composition of this
      Interface.
       The interface trap density is crystal orientation
          dependent.
       Can be +ve or –ve depend on type of substrate.
      (n-Type or p-Type substrate).
                                                                Fig. 4


      Oxide Charges:
         the fixed-oxide charge is located within
      approximately 3 nm of the SiO2-Si interface .
      this charge is fixed and cannot be charged or
      discharged over a wide variation of surface potential.
      Generally, Qf is positive and depends
      on oxidation and annealing conditions and on silicon
      Orientation.

                                                                         June 15, 2012     9

Analysis & Simulation of NBTI Effects in Various Technologies            IT BHU Varanasi       9
    As technology shrinks the Vth shift become worse (E.g., the Vth shift for
           90nm is 34% while this rises with about 4% for each new technology
           generation (i.e., 38% for 65nm and 42% for 45nm) ).
          The NIT growth under given conditions results from Eox increment with
           technology scaling.
          Temperature increment moderately reduces the drain current, and this
           reduction becomes more severe with technology scaling. E.g., the current
           reduction is about 5% for 90nm while this is 8% for 45nm.




                   Fig. 5



          Ref: Temperature Impact on NBTI Modeling in the Framework June 15, 2012
                                                                    of Technology 10
                                                                                  Scaling
                                                                                            10
Analysis & Simulation of NBTI Effects in Various Technologies        IT BHU Varanasi
    The PMOS negative gate stress breaks Si-H bonds at Si-SiO2 interface resulting
           in Si- broken bonds and H atoms by the reaction:
          Most of the H atoms released converted to H2 molecules

      Where, kH is the rate constant of H to H2 conversion.
      The temperature impact on conversion can be understood by
      inspecting the rate constant kH, as:
      For atomic Hydrogen diffusion the parameter          is equal to 10^-4
          at higher temperature the Si-H bonds vibrate that bring H atoms and Si-H at rH < 1.0nm,
           and hence accelerate kH sub process.
          The diffusion variation with temperature increment from Tref , to T(t) is given by diffusion
           ratio:



  NOTE: The equation shows that the temperature increment accelerate DH.
  The DH acceleration towards gate attenuate the Si- broken bond
  recovery sub-process at Si-SiO2 interface and hence increases the NIT.


Analysis & Simulation of NBTI Effects in Various Technologies              IT BHU Varanasi                11
Propagation delays - increase
          Rise/fall time - change
          Duty cycle of signals - change
          Setup and hold times for latch/flip-flop - change
          Current consumption - decrease
          Leakage - change
          Switching threshold - change
          Drive currents - decrease
          Operating points in an analog circuit – change




                                                                June 15, 2012     12

                                                                                       12
Analysis & Simulation of NBTI Effects in Various Technologies   IT BHU Varanasi
Stress: Extent of damage each transistor suffers depends on the bias conditions applied on
        this specific transistor and the time duration through which this bias was applied.
                                                                                                       Ti
   a    For every cycle Accumulated Stress is calculated by Stress = Stress + Stress _ int egrali ×
                Where Ttransient = Tstop-Tstart                                                     Ttransient

                                                         NBTI _ Stress (t ) = m(Vgs(t ) )
                                                                                                       H
        NBTI Stress is given by (as a function of Vgs) :
       where H=Tech parameter and m=model parameter
                                                                      P − P0
       The incremental change in the parameter is given by,        dP =
                                                                        P0
        Where P is the parameter value at time t, and P0 is the parameter value extracted at t=0s.
        P = P0 (1 + dP)
                                                                                                                Ea 
                                                                                                                   
       Where dP(dVth) for NBTI follows power law pattern given by, dP _ NBTI = A × NBTI _ S × e            n    KT 

             NBTI_S = NBTI Stress Integral
             A=degradation constant, n=degradation rate, T= Temp
              Ea=Thermal activation energy, K= Boltzmann constant

       Then the new value of Vth after some stress time is,
                                                                               June 15, 2012      13
                                           Vth=Vth0(1+dP_NBTI)
                                                                                                               13
Analysis & Simulation of NBTI Effects in Various Technologies                   IT BHU Varanasi
Characterization




                Functional                                                                Timing



                                             Mapping to
           Selection of Opoint                                                      Selection of corner
                                           various corners



                e.g.                                                                      e.g.
     ff32_1.15V_1.95V_125C_2ey                                                   ff32_1.15V_1.95V_125C

                                                                      NBTI (_2eY)               NON NBTI
        Generation of Stress file
            (reliability.lib)
                                                      Inclusion of Stress file                Delay Calculation
                                                       (for NBTI Delay Cal.)




                                                                                                                  14
Analysis & Simulation of NBTI Effects in Various Technologies                             IT BHU Varanasi
Device Definition




                                                                Source Definition




                                                                Age Analysis




                                                                                              15
Analysis & Simulation of NBTI Effects in Various Technologies               IT BHU Varanasi
NBTI STRESS




                                                                                  16
Analysis & Simulation of NBTI Effects in Various Technologies   IT BHU Varanasi
17
18
Output at t=27’C                                    Output at t=125’C




             At T=27’C V(OUT)_1 is 1.17359V                     At T=125’C V(OUT)_1 is 1.07925V
             and V(OUT)_2 is 1.11157                            and V(OUT)_2 is 0.94825V.
              At room temperature the degradation of output is about 5% which is increased
             to about 11% at a temperature of 125’C

                                                                                                  19
Analysis & Simulation of NBTI Effects in Various Technologies              IT BHU Varanasi
Delay in ns
               OPOINT - PssaV1260V1320T125Y2_OP
                      PffaV1260V1320Tm40
                      Cload=2pf, slope=0.8


       ARCS      NON NBTI                 NBTI             % Change
A_R_IO_R_1               1.2988                   1.3066         0.60055
A_R_IO_R_0               1.1047                   1.1071         0.21725
A_F_IO_F_0               1.0754                   1.0721        0.306863
A_F_IO_F_1               1.2024                   1.2049         0.20792
IO_R_ZI_R_0             0.24327                  0.24557          0.9562
IO_R_ZI_R_1             0.35978                  0.36386              1.134
IO_F_ZI_F_1             0.40162                  0.40778         1.53379
IO_F_ZI_F_0             0.35215                  0.35669         1.28922




    Non-NBTI / NBTI delay change :                                            A, ZI : CORE Side Signal
    max on IO_F_ZI_F (1.2% to 1.5%)
    A to IO (0.2% to 0.6%)                                                    IO : IO Side Signal

                                                                                                         20
Delay in ns
              OPOINT - PssaV1260V1320T125Y2_OP
                      PffaV1150V1950T125
                      Cload=2pf, slope=0.8

       ARCS     NON NBTI             NBTI            % Change

IO_R_ZI_R_0             1.5938              1.5981          0.2698
IO_F_ZI_F_0                 1.39            1.4118         1.56835
A_R_IO_R_01                6.707            6.7535         0.69331
A_F_IO_F_01             7.0584              7.0826         0.34285
A_R_IO_R_00             4.6319               4.661         0.62825
A_F_IO_F_00             4.7386              4.7596         0.44317
A_F_IO_F_10             5.7391              5.7659         0.46697
A_R_IO_R_10             5.7225               5.759         0.63783
A_F_IO_F_11             7.8279              7.8568         0.36919
A_R_IO_R_11             7.5926              7.6473         0.72044



   Non-NBTI / NBTI delay change :                                    A, ZI : CORE Side Signal
   max on IO_F_ZI_F (1.56%)
                                                                     IO : IO Side Signal
   A to IO (0.34% to 0.72%)
                                                                                                21
Delay of ss28_1.00V_1.65V_125C considering stress of various corners(nS)
                                                    ss28_1.00V_1.65V_125C
                                                                                                                      With
                                                                                                                    Stress of
                                   With Stress of       With Stress of       With Stress of       With Stress of   ss28_0.85V
                               ss28_0.85V_1.95V_125 ss28_0.90V_1.65V_125 ss28_0.95V_1.95V_125 ss28_1.15V_1.95V_125 _1.65V_m4
    ARC       With Same Stress           C                    C                    C                 C_2eY             0C

IO_R_ZI_R_0             1.3303                1.3414                 1.3288                1.3421           1.3447      1.327

IO_F_ZI_F_0             3.3462                3.3671                  3.346                3.3673           3.3683     3.3348

A_R_IO_R_01             9.2288                9.2702                 9.2243                9.2735           9.2816     9.1844

A_F_IO_F_01               7.34                 7.357                 7.3374                7.3597           7.3708     7.3239

A_R_IO_R_00             6.7376                6.7648                 6.7381                6.7654           6.7786      6.719

A_F_IO_F_00             5.5845                5.5992                 5.5811                5.6018            5.613     5.5677

A_F_IO_F_10             7.1011                7.1255                 7.0978                7.1282           7.1393     7.0791

A_R_IO_R_10             8.5146                8.5521                 8.5124                8.5526           8.5632     8.4907

A_F_IO_F_11             8.5125                8.5367                 8.5087                8.5394            8.551     8.4915

A_R_IO_R_11             10.514                10.563                 10.511                10.567           10.576     10.479


 As can be seen from the above figures that in this case worst corner is ss28_1.15V_1.95V_125C_2eY i.e.
 the worst corner should be having maximum GO1 voltage, maximum GO2 voltage, Maximum
 temperature(125’C in this case) and the maximum stress duration (2 years in this case).              22
    The absolute delay of the Driver side (i.e. A to IO, Core to IO
          Side) is more as compared to the receiver side signals (i.e. IO
          to ZI).
         The impact of process (Slow or Fast) and temperature is much
          significant for NBTI delay as can be seen from the results. For
          the corners in which the Slow process and temperature of
          125’C is used they are much degraded due to NBTI as
          compared to Fast process and a temperature of -40 ‘C.
         For the most of the cases the worst corner (PVT) should be
          one having maximum GO1 voltage, maximum GO2 voltage,
          Maximum temperature (125’C in this case) and the maximum
          stress duration.


                                                                                   23
Analysis & Simulation of NBTI Effects in Various Technologies   IIT BHU Varanasi
    Based on the simulation results with an industrial 45nm
          technology, it is observed that the degradation of threshold
          voltage due to NBTI can be as high as 9% for a stress period of
          two years.
         As far as temperature variation is concerned, at room
          temperature the degradation of output is about 5% which is
          increased to about 11% at a temperature of 125’C.So Lower
          temperature is also desirable for robust nanoscale design.
         The transistor reliability will be a severe problem in future
          technology nodes which makes the device life time shorter
          than predicted.
         That ‘s why new technology nodes (from 22nm onwards) are
          using FDSOI technique to reduce NBTI.
Analysis & Simulation of NBTI Effects in Various Technologies   IIT BHU Varanasi   24
   Over time, NBTI degrade device currents and will cause
    failures in integrated circuits. Circuit designers need to
    consider these reliability effects in the early stages of design to
    make sure there are enough margins for circuits to function
    correctly over their entire lifetime. As technology is shrinking
    the scope will increase for stress analysis, as this is a major
    challenge for designers to overcome.



                                                                     25
    Seyab, Said Hamdioui (Delft University of Technology) “Temperature Impact on
           NBTI Modeling in the Framework of Technology Scaling”.
          Chittoor Parthasarathy(ST), Philippe Raynaud(Mentor Graphics) “Reliability
           simulation in CMOS design using Eldo”.
          http://www.iue.tuwien.ac.at/phd/wittmann/node10.html “NBTI Reliability
           Analysis”.
          Rakesh Vattikonda, Wenping Wang, Yu Cao “Modeling and Minimization of PMOS
           NBTI Effect for Robust Nanometer Design”.
          M.A. Alam, S. Mahapatra “A comprehensive model of PMOS NBTI degradation”
           (online @ www.sciencedirect.com).
          R. Wittmann, H. Puchner, A. Gehring, and S. Selberherr “Impact of NBTI-Driven
           Parameter Degradation on Lifetime of a 90nm p-MOSFET”.
          Robert Entner (Dissertation) “Modeling and Simulation of Negative Bias
           Temperature Instability”.
          Sanjay Kumar, Chris Kim, Sachin Sapatnekar University of Minnesota “An
           Analytical Model for Negative Bias Temperature Instability (NBTI)”.


                                                                                       26
Analysis & Simulation of NBTI Effects in Various Technologies    IIT BHU Varanasi
   Rajeev Kumar Mishra, S.Alam, Amritanshu Pandey “Analysis and
    impacts of Negative Bias Temperature Instability (NBTI)” ,
    IEEE Xplore Digital Library, SCEECS IEEE Conference,                March
    2012, MANIT Bhopal.
    (link: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6184739)




                                                                             27
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Final od college

  • 1. Presented By: Rajeev Kumar Mishra M.Tech Part-II (Communication Systems) 10305EN069 External Supervisor Internal Supervisor Mr. Akhilesh Chandra Mishra Mr. Amritanshu Pandey Senior Manager(TRnD, IOS Grp) Assistant Professor ST Microelectronics IT-BHU Greater Noida (U.P) Varanasi (U.P) Department of Electronics Engineering Institute of Technology BHU (IT-BHU), Varanasi
  • 2. Overview of NBTI.  Mechanism involved in NBTI (Reaction Diffusion Model).  Effect on Various Technologies.  Scaling Impact on NBTI.  Temperature impact on NBTI.  Possible impacts on Circuits.  Concept of NBTI Stress.  NBTI minimization.  Age Analysis of a Buffer  Comparison of Results for 45nm and 28nm Technologies. 2 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 3. Study of Negative Bias Temperature Instability (NBTI) and its impact on Circuit.  Temperature, Scaling and frequency impact on NBTI.  Familiarity with the circuit simulation tools like ELDO, ALTO  Familiarity with Input Output Library (I/O’s).  Characterization of a Input Output cell (Bidirectional Buffer). (Finding the delay of a buffer, between IO and Core Side).  Stress (Reliability) Analysis of a simple buffer and CMOS inverter.  Stress (Reliability) Analysis across the 45nm & 28nm technologies.  Finding worst operating conditions of NBTI for any technology. 3 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 4. • NBTI – Negative Bias Temperature Instability. • PMOS parameters degradation in presence of holes close to the interface(Si/Si02) at high temperature (>80˚C). -Vdd Vdd S G 0 Stress Relaxation Stress VG = 0 VG = Vdd • NBTI is in general attributed to reaction-diffusion (R-D) model involving interfacial bond breaking(Si-H) followed by a diffusion process of hydrogen species. June 15, 2012 4 4 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 5. RD (Reaction Diffusion) model explains physics of NBTI degradation in terms of different sub-processes.  Hole Tunneling  Hole Capture  Dissociation.  NBTI degradation originates from Silicon Hydrogen bonds (Si-H) breaking at Silicon-Silicon dioxide (Si-SiO2) interface during negative stress (Vgs=-Vdd).  The broken Silicon bonds (Si-) Dangling Silicon, act as interface traps that are responsible for higher Vth and lower drain current.  The number of interface traps (Nit) depends on Si-H bond breaking rate (kf) and Si- bond recovery rate (kr). June 15, 2012 5 5 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 6. Fig. 2 Dangling Si- trivalent silicon atoms with one unpaired valence electron Si3≡Si•, or Si2O≡Si• , Mostly Temp. driven Mostly Field driven Where is strongly Temp. Dependent 6 6 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 7. Relation between Threshold Voltage and Interface trapped charges VT = V FB − 2φ F − Q B / C OX , QF Qit (φ S ) VFB = φ MS − − C OX COX Where Qf is the fixed charge density and Qit is interface trap density. The MOS drain current (sat) and transconductance is related with threshold voltage as, ID = W( 2 L )µ eff COX (VG − VT ) 2 gm = (W )µ COX (VG − VT ). 2L eff µ n0 µ P0 Where µeff is given by (modified by carrier µn = µP = velocity saturation effect) V V 1 + DS 1 − DS LEC LEC June 15, 2012 7 7 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 8. Non Recoverable NBTI (Permanent)  It is due to the interface traps generation.  The electric field is able to break Si-H bonds located at the Silicon- oxide interface. Recoverable NBTI (Temporary)  It is due to some pre-existing traps present in the gate oxide.  The pre-existing traps get filled with holes coming from the channel of PMOS.  These traps can be emptied when the stress voltage is removed. Fig. 3 June 15, 2012 8 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 9. Interface Traps:  It is due to the Si-Si02 interface properties and dependent on the chemical composition of this Interface.  The interface trap density is crystal orientation dependent.  Can be +ve or –ve depend on type of substrate. (n-Type or p-Type substrate). Fig. 4 Oxide Charges:  the fixed-oxide charge is located within approximately 3 nm of the SiO2-Si interface . this charge is fixed and cannot be charged or discharged over a wide variation of surface potential. Generally, Qf is positive and depends on oxidation and annealing conditions and on silicon Orientation. June 15, 2012 9 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi 9
  • 10. As technology shrinks the Vth shift become worse (E.g., the Vth shift for 90nm is 34% while this rises with about 4% for each new technology generation (i.e., 38% for 65nm and 42% for 45nm) ).  The NIT growth under given conditions results from Eox increment with technology scaling.  Temperature increment moderately reduces the drain current, and this reduction becomes more severe with technology scaling. E.g., the current reduction is about 5% for 90nm while this is 8% for 45nm. Fig. 5 Ref: Temperature Impact on NBTI Modeling in the Framework June 15, 2012 of Technology 10 Scaling 10 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 11. The PMOS negative gate stress breaks Si-H bonds at Si-SiO2 interface resulting in Si- broken bonds and H atoms by the reaction:  Most of the H atoms released converted to H2 molecules Where, kH is the rate constant of H to H2 conversion. The temperature impact on conversion can be understood by inspecting the rate constant kH, as: For atomic Hydrogen diffusion the parameter is equal to 10^-4  at higher temperature the Si-H bonds vibrate that bring H atoms and Si-H at rH < 1.0nm, and hence accelerate kH sub process.  The diffusion variation with temperature increment from Tref , to T(t) is given by diffusion ratio: NOTE: The equation shows that the temperature increment accelerate DH. The DH acceleration towards gate attenuate the Si- broken bond recovery sub-process at Si-SiO2 interface and hence increases the NIT. Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi 11
  • 12. Propagation delays - increase Rise/fall time - change Duty cycle of signals - change Setup and hold times for latch/flip-flop - change Current consumption - decrease Leakage - change Switching threshold - change Drive currents - decrease Operating points in an analog circuit – change June 15, 2012 12 12 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 13. Stress: Extent of damage each transistor suffers depends on the bias conditions applied on this specific transistor and the time duration through which this bias was applied. Ti a For every cycle Accumulated Stress is calculated by Stress = Stress + Stress _ int egrali × Where Ttransient = Tstop-Tstart Ttransient NBTI _ Stress (t ) = m(Vgs(t ) ) H NBTI Stress is given by (as a function of Vgs) : where H=Tech parameter and m=model parameter P − P0 The incremental change in the parameter is given by, dP = P0 Where P is the parameter value at time t, and P0 is the parameter value extracted at t=0s. P = P0 (1 + dP)  Ea    Where dP(dVth) for NBTI follows power law pattern given by, dP _ NBTI = A × NBTI _ S × e n  KT  NBTI_S = NBTI Stress Integral A=degradation constant, n=degradation rate, T= Temp Ea=Thermal activation energy, K= Boltzmann constant Then the new value of Vth after some stress time is, June 15, 2012 13 Vth=Vth0(1+dP_NBTI) 13 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 14. Characterization Functional Timing Mapping to Selection of Opoint Selection of corner various corners e.g. e.g. ff32_1.15V_1.95V_125C_2ey ff32_1.15V_1.95V_125C NBTI (_2eY) NON NBTI Generation of Stress file (reliability.lib) Inclusion of Stress file Delay Calculation (for NBTI Delay Cal.) 14 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 15. Device Definition Source Definition Age Analysis 15 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 16. NBTI STRESS 16 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 17. 17
  • 18. 18
  • 19. Output at t=27’C Output at t=125’C At T=27’C V(OUT)_1 is 1.17359V At T=125’C V(OUT)_1 is 1.07925V and V(OUT)_2 is 1.11157 and V(OUT)_2 is 0.94825V. At room temperature the degradation of output is about 5% which is increased to about 11% at a temperature of 125’C 19 Analysis & Simulation of NBTI Effects in Various Technologies IT BHU Varanasi
  • 20. Delay in ns OPOINT - PssaV1260V1320T125Y2_OP PffaV1260V1320Tm40 Cload=2pf, slope=0.8 ARCS NON NBTI NBTI % Change A_R_IO_R_1 1.2988 1.3066 0.60055 A_R_IO_R_0 1.1047 1.1071 0.21725 A_F_IO_F_0 1.0754 1.0721 0.306863 A_F_IO_F_1 1.2024 1.2049 0.20792 IO_R_ZI_R_0 0.24327 0.24557 0.9562 IO_R_ZI_R_1 0.35978 0.36386 1.134 IO_F_ZI_F_1 0.40162 0.40778 1.53379 IO_F_ZI_F_0 0.35215 0.35669 1.28922 Non-NBTI / NBTI delay change : A, ZI : CORE Side Signal max on IO_F_ZI_F (1.2% to 1.5%) A to IO (0.2% to 0.6%) IO : IO Side Signal 20
  • 21. Delay in ns OPOINT - PssaV1260V1320T125Y2_OP PffaV1150V1950T125 Cload=2pf, slope=0.8 ARCS NON NBTI NBTI % Change IO_R_ZI_R_0 1.5938 1.5981 0.2698 IO_F_ZI_F_0 1.39 1.4118 1.56835 A_R_IO_R_01 6.707 6.7535 0.69331 A_F_IO_F_01 7.0584 7.0826 0.34285 A_R_IO_R_00 4.6319 4.661 0.62825 A_F_IO_F_00 4.7386 4.7596 0.44317 A_F_IO_F_10 5.7391 5.7659 0.46697 A_R_IO_R_10 5.7225 5.759 0.63783 A_F_IO_F_11 7.8279 7.8568 0.36919 A_R_IO_R_11 7.5926 7.6473 0.72044 Non-NBTI / NBTI delay change : A, ZI : CORE Side Signal max on IO_F_ZI_F (1.56%) IO : IO Side Signal A to IO (0.34% to 0.72%) 21
  • 22. Delay of ss28_1.00V_1.65V_125C considering stress of various corners(nS) ss28_1.00V_1.65V_125C With Stress of With Stress of With Stress of With Stress of With Stress of ss28_0.85V ss28_0.85V_1.95V_125 ss28_0.90V_1.65V_125 ss28_0.95V_1.95V_125 ss28_1.15V_1.95V_125 _1.65V_m4 ARC With Same Stress C C C C_2eY 0C IO_R_ZI_R_0 1.3303 1.3414 1.3288 1.3421 1.3447 1.327 IO_F_ZI_F_0 3.3462 3.3671 3.346 3.3673 3.3683 3.3348 A_R_IO_R_01 9.2288 9.2702 9.2243 9.2735 9.2816 9.1844 A_F_IO_F_01 7.34 7.357 7.3374 7.3597 7.3708 7.3239 A_R_IO_R_00 6.7376 6.7648 6.7381 6.7654 6.7786 6.719 A_F_IO_F_00 5.5845 5.5992 5.5811 5.6018 5.613 5.5677 A_F_IO_F_10 7.1011 7.1255 7.0978 7.1282 7.1393 7.0791 A_R_IO_R_10 8.5146 8.5521 8.5124 8.5526 8.5632 8.4907 A_F_IO_F_11 8.5125 8.5367 8.5087 8.5394 8.551 8.4915 A_R_IO_R_11 10.514 10.563 10.511 10.567 10.576 10.479 As can be seen from the above figures that in this case worst corner is ss28_1.15V_1.95V_125C_2eY i.e. the worst corner should be having maximum GO1 voltage, maximum GO2 voltage, Maximum temperature(125’C in this case) and the maximum stress duration (2 years in this case). 22
  • 23. The absolute delay of the Driver side (i.e. A to IO, Core to IO Side) is more as compared to the receiver side signals (i.e. IO to ZI).  The impact of process (Slow or Fast) and temperature is much significant for NBTI delay as can be seen from the results. For the corners in which the Slow process and temperature of 125’C is used they are much degraded due to NBTI as compared to Fast process and a temperature of -40 ‘C.  For the most of the cases the worst corner (PVT) should be one having maximum GO1 voltage, maximum GO2 voltage, Maximum temperature (125’C in this case) and the maximum stress duration. 23 Analysis & Simulation of NBTI Effects in Various Technologies IIT BHU Varanasi
  • 24. Based on the simulation results with an industrial 45nm technology, it is observed that the degradation of threshold voltage due to NBTI can be as high as 9% for a stress period of two years.  As far as temperature variation is concerned, at room temperature the degradation of output is about 5% which is increased to about 11% at a temperature of 125’C.So Lower temperature is also desirable for robust nanoscale design.  The transistor reliability will be a severe problem in future technology nodes which makes the device life time shorter than predicted.  That ‘s why new technology nodes (from 22nm onwards) are using FDSOI technique to reduce NBTI. Analysis & Simulation of NBTI Effects in Various Technologies IIT BHU Varanasi 24
  • 25. Over time, NBTI degrade device currents and will cause failures in integrated circuits. Circuit designers need to consider these reliability effects in the early stages of design to make sure there are enough margins for circuits to function correctly over their entire lifetime. As technology is shrinking the scope will increase for stress analysis, as this is a major challenge for designers to overcome. 25
  • 26. Seyab, Said Hamdioui (Delft University of Technology) “Temperature Impact on NBTI Modeling in the Framework of Technology Scaling”.  Chittoor Parthasarathy(ST), Philippe Raynaud(Mentor Graphics) “Reliability simulation in CMOS design using Eldo”.  http://www.iue.tuwien.ac.at/phd/wittmann/node10.html “NBTI Reliability Analysis”.  Rakesh Vattikonda, Wenping Wang, Yu Cao “Modeling and Minimization of PMOS NBTI Effect for Robust Nanometer Design”.  M.A. Alam, S. Mahapatra “A comprehensive model of PMOS NBTI degradation” (online @ www.sciencedirect.com).  R. Wittmann, H. Puchner, A. Gehring, and S. Selberherr “Impact of NBTI-Driven Parameter Degradation on Lifetime of a 90nm p-MOSFET”.  Robert Entner (Dissertation) “Modeling and Simulation of Negative Bias Temperature Instability”.  Sanjay Kumar, Chris Kim, Sachin Sapatnekar University of Minnesota “An Analytical Model for Negative Bias Temperature Instability (NBTI)”. 26 Analysis & Simulation of NBTI Effects in Various Technologies IIT BHU Varanasi
  • 27. Rajeev Kumar Mishra, S.Alam, Amritanshu Pandey “Analysis and impacts of Negative Bias Temperature Instability (NBTI)” , IEEE Xplore Digital Library, SCEECS IEEE Conference, March 2012, MANIT Bhopal. (link: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6184739) 27
  • 28. THANK YOU FOR YOUR ATTENTION !!!!!!!! ANY QUERIES??????????

Notas do Editor

  1. ANALYSIS &amp; SIMULATION OF Negative Bias Temperature Instability (nbti) effects in Various Technologies
  2. Thermal oxide is grown at high temperatures from 800°C - 1200°C using either a &amp;quot;Wet&amp;quot; or &amp;quot;Dry&amp;quot; growth method. Today&apos;s Wet Oxides are grown pyrogenically using Hydrogen and Oxygen gases in a internal or external torch. ANALYSIS &amp; SIMULATION OF Negative Bias Temperature Instability (nbti) effects in Various Technologies
  3. Flat Band Voltage:refers to MOS devices, a voltage at which there is no electrical charge in the semiconductor and, therefore, no voltage drop across it; in band diagram the energy bands of the semiconductor are horizontal (flat). ANALYSIS &amp; SIMULATION OF Negative Bias Temperature Instability (nbti) effects in Various Technologies
  4. Wafers are grown from crystal having a regular crystal structure , with silicon having a diamond cubic structure. When cut into wafers, the surface is aligned in one of several relative directions known as crystal orientations. Orientation is defined by the Miller index with [100] or [111] faces being the most common for silicon ANALYSIS &amp; SIMULATION OF Negative Bias Temperature Instability (nbti) effects in Various Technologies
  5. Two Simulation Scheme, Repetitive Scheme ANALYSIS &amp; SIMULATION OF Negative Bias Temperature Instability (nbti) effects in Various Technologies