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Charge Localization During Program and
     Retention in NROM-like Non Volatile
              Memory Devices
        Etienne Nowak, Elisa Vianello*, Luca Perniola, Marc
2007
       Bocquet, Gabriel Molas, Rabah Kies, Marc Gely, Gerard
       Ghibaudo+, Barbara De Salvo, Gilles Reimbold, Fabien
                             Boulanger
           CEA/LETI-Minatec, 38054 Grenoble, France
         * DIEGM, University of Udine, Italy +IMEP/INPG
                         Grenoble, France
                       etienne.nowak@cea.fr

                                     Etienne Nowak et al. – SSDM 2009   1
Outline

          Motivation

          Methodology

          Program operation

2007      Retention

          Conclusion



                          Etienne Nowak et al. – SSDM 2009   2
Outline

          Motivation

          Methodology

          Program operation

2007      Retention

          Conclusion



                              Etienne Nowak et al. – SSDM 2009   3
Motivation (1/2)
             12V NROM            -14V


0V                4.5V 0V                7V

       e-                         h+
   Write (CHE)             Erase (HHI)            4bit/cell 8Gbit product
                                                 R.Sahar et al, ISSCC 2008
         Benefit:
 2007
        Higher information density thanks to physically
        separated bits
         Purpose of the work:
        Extract information on pocket of trapped charges
        in alternative trapping materials for NROM devices
                                         Etienne Nowak et al. – SSDM 2009   4
Motivation (2/2)

        Retention of cycled and uncycled
        Si3N4 devices has been well studied
        M. Janai et al., IEEE IRPS Tech. Dig., 2008, pp417-423

        Few works have been done on
        different trapping layers
        T.Sugizaki et al., VLSI Tech Dig., 2003, pp.27-28.
2007
        Intrinsic trapping properties of Si3N4,
        HfO2, Al2O3 still not well understood
            Maximum amount of trapped charge
            Localization of the trapped charge
            ∆Vt loss mechanisms on different material
                                                  Etienne Nowak et al. – SSDM 2009   5
Outline

          Motivation

          Methodology

          Program operation

2007      Retention

          Conclusion



                              Etienne Nowak et al. – SSDM 2009   6
Devices under analysis

                                                                     Control
          N+ Poly           N+ Poly                   N+ Poly         Gate


                             HTO                        HTO          Blocking
10nm       HTO       10nm                10nm                         oxide

                     6nm                   6nm                      Trapping
6nm        Si3N4             HfO2                       Al2O3         layer
5nm        SiO2      5nm     SiO2        5nm            SiO2         Tunnel
                                                                      oxide
 2007


    W/L=10/0.27 µm


        Three different trapping layers are compared
         LPCVD Si3N4 / ALCVD HfO2 / ALCVD Al2O3

                                      Etienne Nowak et al. – SSDM 2009    7
Method to extract trapped charges information

                                  Virgin Written
                             1E-4              VS=1.5V Reverse Read
                                                                                            VG
 Source Current IS [A/um]



                                               VD=1.5V Forward Read
                             1E-6                                                 SiO2
                                             ∆VtR                                 Si3N4/HfO2/Al2O3         Qcharged
                             1E-8                                                 SiO2
                            1E-10
                                           ∆VtF                            VS          y    x Lcharged      VD
                                                                                            L
                            1E-12

                            1E-14
2007                                0    2      4     6      8        10
                                         Gate Voltage VG [V]




                                1 - Measure ∆VtR and ∆VtF from the
                                experimental results
     L. Perniola et al., IEEE TNANO, 2005                                       Etienne Nowak et al. – SSDM 2009   8
Method to extract trapped charges information
                                           ∆VtF
   Charge Density Q charged [10 12cm -2]                                                                                         VG
                                                                                                                       SiO2
                                                                                                                       Si3N4/HfO2/Al2O3          Qcharged
                                                                                                                       SiO2
                                                                                                               VS           y    x Lcharged          VD
                                                                                                                                 L


                                                                                                                     Virgin Written
                                                                                                                1E-4              VS=1.5V Reverse Read




                                                                                    Source Current IS [A/um]
                                                                                                                                  VD=1.5V Forward Read
                                                                                                                1E-6
                                                                                                                                 ∆VtR
                                                                                                                1E-8

                                                                                                               1E-10
                                                                                                                                ∆VtF
2007
                                                                       ∆VtR                                    1E-12

                                                                                                               1E-14
                                                                                                                        0    2      4     6      8       10
                                            40    60     80     100    120    140                                            Gate Voltage VG [V]

                                           Effective charged Length 2L[nm] [nm]
                                                   Charged Length L charged

  2 - Extrapolate the values of Lcharged and Qcharged from
  an analytical map calculated through the ψS approach
  L. Perniola et al., IEEE TNANO, 2005                                        Etienne Nowak et al. – SSDM 2009                                                9
Outline

          Motivation

          Methodology

          Program operation

2007      Retention

          Conclusion



                          Etienne Nowak et al. – SSDM 2009   10
Program
                                                   HfO2        Al2O3            Si3N4




                                                                                              Programming Window ∆VtR [V]
          Programming Window ∆VtR [V]
                                        12 Stress                  Stress                12
                                           V =V =0V                VS=VB=0V
                                        10 S B                                           10
                                           VG=10V                  VG=12V
                                         8 V =5V                                         8
                                            D                      VD=5V
                                         6                                               6
                                        4                                                4
                                        2                                                2
2007
                                        0                                                0
                                              -6    -4    -2   0     -6    -4     -2    0
                                            10 10 10 10            10 10 10 10
                                             Stress Time t [s]      Stress Time t [s]
   Programming windows over 10 V for the 3
  materials

                                                                     Etienne Nowak et al. – SSDM 2009                       11
Charge localization
  Charge Density Qcharged [10 cm-2]
                                      18
                                                                                         Gate
                                      16
  12


                                      14
                                      12
                                      10         t ~ 0.01s               Source                             Drain
                                       8                                                 Gate
                                                 Vg=10V Vg=12V ; Vd=5V
                                       6
                                                               HfO2
                                       4                       Al2O3
                                       2                                 Source                             Drain
                                                               Si3N4
 2007
                                       0
                                        0   50     100   150    200    250
                               Effective charged Length Lcharged[nm]


1. Charge “initially” localizes at ~40-60 nm next to drain
2. After t~10 ms, Qcharged saturates, then Lcharged broadens
3. Not significant difference between the trapping layers
                                                                         Etienne Nowak et al. – SSDM 2009      12
Ey evolution during program




                                                  Normal Field EY [MV/cm]
  1.4                     Lcharged             1.4             Lcharged
Normal Field EY [MV/cm]


             Vd=5V Vg=12V                                Vd=5V Vg=12V
  1.2                                          1.2
                                                             Gate
  1.0           Gate                           1.0
  0.8                       12
          Qcharged to 20x10 cm
                 =0
                               -2
                                               0.8
  0.6                  12
          every 2.5x10 cm
                           -2
                                               0.6             EY
  0.4                                          0.4
                                             Source                    12 -2
                                                                                 Drain
                                                      Qcharged=17.5x10 cm
Source
  0.2      EY                       Drain      0.2
  0.0     Effective LengthLeff                        Effective Length Leff
                                               0.0
    -0.2   -0.1       0.0       0.1      0.2     -0.2  -0.1         0.0      0.1      0.2
  Source
     2007
                Position X [um]        Drain   Source       Position X [um]         Drain

                           Maximum Qcharged and subsequent Lcharged
                          broadening explained by:
                             Decrease of Ey at the Si/SiO2 interface
                             Ey peak shift towards the source side
                                                                            Etienne Nowak et al. – SSDM 2009   13
Outline

          Motivation

          Methodology

          Program operation

2007      Retention

          Conclusion



                              Etienne Nowak et al. – SSDM 2009   14
Gate

                                      Retention operation
                                                                                                  Source                          Drain
Programming Window ∆VtR [V]

                                                                                        120
                              5




                                                                 Total Charge Variation
                                                                   Qchargedx Lcharged [%]
                              4
                                                                                        100
                              3

                              2 T=25° T=125°
                                    C      C                                                80       T=25° T=125°
                                                                                                         C      C
                                             HfO2                                                                 HfO2
                              1                                                                                   Al2O3
                                             Al2O3
                                                                                            60                    Si3N4
                              0              Si3N4
                                  0    1     2     3    4    5                                   0       1     2          3   4       5
                              10      10   10   10     10   10                               10        10    10   10      10        10
                               2007
                                            Time t [s]                                                         Time t [s]



                                   Lateral charge migration is the main ∆VtR loss
                                  mechanism for the three materials at 25° C.
                                   Charge loss is relevant only for Al2O3 at 125°
                                                                                C

                                                                                                  Etienne Nowak et al. – SSDM 2009        15
Retention Model to extract the ∆Lcharged
       Drift-Diffusion equations
        ∂n ( x , t ) ∂                                   ∂ 2 n( x , t )
                    =     [µeff n(x , t )E (x , t )] + D
        ∂t             ∂x                                    ∂x 2
       
        ∂E ( x , t ) = qn( x , t )
        ∂x               εr ε0                              Charge density       Shape1
       
                                                              Qcharged                     Drain
                                                                              Shape2       side
                                                         Source
                      Gate                               side


2007
                                                                                 Lcharged Position
   Source                               Drain
                                                                                       ∂n( x, t )
                                                    V =0                                          =0
                                                                                         ∂x


        1D model of nitride
        Drift-Diffusion of majority carriers
        Effective mobility coefficient µeff
                                                               Etienne Nowak et al. – SSDM 2009        16
Retention Model to extract the ∆Lcharged




                                                  Effective charged Length
                                                                        150
                                                                                       Drift-Diffusion, Shape1




                                                   increase∆ Lcharged [nm]
                                                                                       Drift-Diffusion, Shape2
       Charge density
              Qcharged
                             Shape1
                                      Drain                             100            Diffusion, Shape1
                         Shape2       side
         Source
         side

                            Lcharged Position
                                  ∂n( x, t )
                                                                             50
       V =0
                                    ∂x
                                             =0
                                                                                                       ∆ Lcharged=A*ln(t)
                                                                                                   A=α µeffQtotal/εrε
                                                                             0
2007

                                                                                  -3     -1         1         3         5       7
                                                                             10        10        10    10           10         10
                                                                                                 Timet [s]
   Drift predominant over Diffusion
   ∆Lcharged independent of the shape of the trapped
  charges
   Drift follows an empirical law:
  Lcharged=Lcharged0+A*ln(t)
                                                                                            Etienne Nowak et al. – SSDM 2009   17
Data vs model: lateral charge migration
                                     25       HfO2




             Effective Charged Length
               increase ∆Lcharged [nm]
                                              Al2O3
                                     20                                 A=3.7
                                              Si3N4
                                     15

                                     10                                 A=1.7

                                         5
                                                                     A=0.55
                                         0
2007                                          3         4             5
                                             10      10            10
                                                  Time t [s]

     Lateral migration for the three material follows a
   logarithmic law with different A coefficient
     Lowest drift observed for Si3N4

                                                            Etienne Nowak et al. – SSDM 2009   18
Outline

          Motivation

          Methodology

          Program operation

2007      Retention

          Conclusion



                          Etienne Nowak et al. – SSDM 2009   19
Conclusion
       Comparative study of trapping properties in
       Si3N4, HfO2 and Al2O3 in program and
       retention conditions
         Large window (~10 V) possible for all trapping materials
         Maximum Qcharged is limited by electrostatics not by the
         trapping layer properties
       Method allows separating vertical vs lateral
2007
       charge migration
         Lateral migration, due to charge drift, is the main Vt shift
         mechanism in retention mode for the three materials at
         25°C
         Log(t) dependence of lateral migration, and Si3N4 shows
         the lowest drift


                                         Etienne Nowak et al. – SSDM 2009   20
Thanks for your attention!

2007




                        Etienne Nowak et al. – SSDM 2009   21
Extraction Method
   Analytical model
  Based on Liu Surface
  Potential model
   Calculate ∆VtR and
  ∆VtF for a given
  Qcharged and Lcharged
   Extract Qcharged and
2007


  Lcharged from measured
  ∆VtR and ∆VtF


 [L. Perniola et al., IEEE Trans. on
 Nanotech., Vol. 4, No. 3, pp. 360-
 368, May 2005]                        Etienne Nowak et al. – SSDM 2009   22
Retention Model
                                Drift-Diffusion equation
                         ∂n ( x , t ) ∂                                   ∂ 2n(x , t )
                                     =     [µeff n(x , t )E (x , t )] + D
                         ∂t             ∂x                                   ∂x 2
                        
                         ∂E ( x , t ) = qn( x , t )
                         ∂x
                                          εr ε0




        Diffusion equation                                    Drift equation
2007
                  D=0                                             µeff = 0
       ∂n ( x , t )    ∂ 2n( x , t )                                               x
                                                                                      n( x , t )dx 
                    =D                           ∂n ( x , t )       ∂            ∫
          ∂t              ∂x 2                                = A*      n( x , t ) 0∞              
                                                    ∂t             ∂x                n( x , t )dx 
                                                                      
                                                                                 ∫0               
                                                                                                   
                                                           µeff q ∫ n( x , t )dx
                                                                   ∞
                                                                                     µeff Qtotal
                                                    A =
                                                      *            0
                                                                                   =
                                                                   εr ε0               εr ε0
                                                            Etienne Nowak et al. – SSDM 2009       23

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Nowak SSDM\'09

  • 1. Charge Localization During Program and Retention in NROM-like Non Volatile Memory Devices Etienne Nowak, Elisa Vianello*, Luca Perniola, Marc 2007 Bocquet, Gabriel Molas, Rabah Kies, Marc Gely, Gerard Ghibaudo+, Barbara De Salvo, Gilles Reimbold, Fabien Boulanger CEA/LETI-Minatec, 38054 Grenoble, France * DIEGM, University of Udine, Italy +IMEP/INPG Grenoble, France etienne.nowak@cea.fr Etienne Nowak et al. – SSDM 2009 1
  • 2. Outline Motivation Methodology Program operation 2007 Retention Conclusion Etienne Nowak et al. – SSDM 2009 2
  • 3. Outline Motivation Methodology Program operation 2007 Retention Conclusion Etienne Nowak et al. – SSDM 2009 3
  • 4. Motivation (1/2) 12V NROM -14V 0V 4.5V 0V 7V e- h+ Write (CHE) Erase (HHI) 4bit/cell 8Gbit product R.Sahar et al, ISSCC 2008 Benefit: 2007 Higher information density thanks to physically separated bits Purpose of the work: Extract information on pocket of trapped charges in alternative trapping materials for NROM devices Etienne Nowak et al. – SSDM 2009 4
  • 5. Motivation (2/2) Retention of cycled and uncycled Si3N4 devices has been well studied M. Janai et al., IEEE IRPS Tech. Dig., 2008, pp417-423 Few works have been done on different trapping layers T.Sugizaki et al., VLSI Tech Dig., 2003, pp.27-28. 2007 Intrinsic trapping properties of Si3N4, HfO2, Al2O3 still not well understood Maximum amount of trapped charge Localization of the trapped charge ∆Vt loss mechanisms on different material Etienne Nowak et al. – SSDM 2009 5
  • 6. Outline Motivation Methodology Program operation 2007 Retention Conclusion Etienne Nowak et al. – SSDM 2009 6
  • 7. Devices under analysis Control N+ Poly N+ Poly N+ Poly Gate HTO HTO Blocking 10nm HTO 10nm 10nm oxide 6nm 6nm Trapping 6nm Si3N4 HfO2 Al2O3 layer 5nm SiO2 5nm SiO2 5nm SiO2 Tunnel oxide 2007 W/L=10/0.27 µm Three different trapping layers are compared LPCVD Si3N4 / ALCVD HfO2 / ALCVD Al2O3 Etienne Nowak et al. – SSDM 2009 7
  • 8. Method to extract trapped charges information Virgin Written 1E-4 VS=1.5V Reverse Read VG Source Current IS [A/um] VD=1.5V Forward Read 1E-6 SiO2 ∆VtR Si3N4/HfO2/Al2O3 Qcharged 1E-8 SiO2 1E-10 ∆VtF VS y x Lcharged VD L 1E-12 1E-14 2007 0 2 4 6 8 10 Gate Voltage VG [V] 1 - Measure ∆VtR and ∆VtF from the experimental results L. Perniola et al., IEEE TNANO, 2005 Etienne Nowak et al. – SSDM 2009 8
  • 9. Method to extract trapped charges information ∆VtF Charge Density Q charged [10 12cm -2] VG SiO2 Si3N4/HfO2/Al2O3 Qcharged SiO2 VS y x Lcharged VD L Virgin Written 1E-4 VS=1.5V Reverse Read Source Current IS [A/um] VD=1.5V Forward Read 1E-6 ∆VtR 1E-8 1E-10 ∆VtF 2007 ∆VtR 1E-12 1E-14 0 2 4 6 8 10 40 60 80 100 120 140 Gate Voltage VG [V] Effective charged Length 2L[nm] [nm] Charged Length L charged 2 - Extrapolate the values of Lcharged and Qcharged from an analytical map calculated through the ψS approach L. Perniola et al., IEEE TNANO, 2005 Etienne Nowak et al. – SSDM 2009 9
  • 10. Outline Motivation Methodology Program operation 2007 Retention Conclusion Etienne Nowak et al. – SSDM 2009 10
  • 11. Program HfO2 Al2O3 Si3N4 Programming Window ∆VtR [V] Programming Window ∆VtR [V] 12 Stress Stress 12 V =V =0V VS=VB=0V 10 S B 10 VG=10V VG=12V 8 V =5V 8 D VD=5V 6 6 4 4 2 2 2007 0 0 -6 -4 -2 0 -6 -4 -2 0 10 10 10 10 10 10 10 10 Stress Time t [s] Stress Time t [s] Programming windows over 10 V for the 3 materials Etienne Nowak et al. – SSDM 2009 11
  • 12. Charge localization Charge Density Qcharged [10 cm-2] 18 Gate 16 12 14 12 10 t ~ 0.01s Source Drain 8 Gate Vg=10V Vg=12V ; Vd=5V 6 HfO2 4 Al2O3 2 Source Drain Si3N4 2007 0 0 50 100 150 200 250 Effective charged Length Lcharged[nm] 1. Charge “initially” localizes at ~40-60 nm next to drain 2. After t~10 ms, Qcharged saturates, then Lcharged broadens 3. Not significant difference between the trapping layers Etienne Nowak et al. – SSDM 2009 12
  • 13. Ey evolution during program Normal Field EY [MV/cm] 1.4 Lcharged 1.4 Lcharged Normal Field EY [MV/cm] Vd=5V Vg=12V Vd=5V Vg=12V 1.2 1.2 Gate 1.0 Gate 1.0 0.8 12 Qcharged to 20x10 cm =0 -2 0.8 0.6 12 every 2.5x10 cm -2 0.6 EY 0.4 0.4 Source 12 -2 Drain Qcharged=17.5x10 cm Source 0.2 EY Drain 0.2 0.0 Effective LengthLeff Effective Length Leff 0.0 -0.2 -0.1 0.0 0.1 0.2 -0.2 -0.1 0.0 0.1 0.2 Source 2007 Position X [um] Drain Source Position X [um] Drain Maximum Qcharged and subsequent Lcharged broadening explained by: Decrease of Ey at the Si/SiO2 interface Ey peak shift towards the source side Etienne Nowak et al. – SSDM 2009 13
  • 14. Outline Motivation Methodology Program operation 2007 Retention Conclusion Etienne Nowak et al. – SSDM 2009 14
  • 15. Gate Retention operation Source Drain Programming Window ∆VtR [V] 120 5 Total Charge Variation Qchargedx Lcharged [%] 4 100 3 2 T=25° T=125° C C 80 T=25° T=125° C C HfO2 HfO2 1 Al2O3 Al2O3 60 Si3N4 0 Si3N4 0 1 2 3 4 5 0 1 2 3 4 5 10 10 10 10 10 10 10 10 10 10 10 10 2007 Time t [s] Time t [s] Lateral charge migration is the main ∆VtR loss mechanism for the three materials at 25° C. Charge loss is relevant only for Al2O3 at 125° C Etienne Nowak et al. – SSDM 2009 15
  • 16. Retention Model to extract the ∆Lcharged Drift-Diffusion equations  ∂n ( x , t ) ∂ ∂ 2 n( x , t )  = [µeff n(x , t )E (x , t )] + D  ∂t ∂x ∂x 2   ∂E ( x , t ) = qn( x , t )  ∂x εr ε0 Charge density Shape1  Qcharged Drain Shape2 side Source Gate side 2007 Lcharged Position Source Drain ∂n( x, t ) V =0 =0 ∂x 1D model of nitride Drift-Diffusion of majority carriers Effective mobility coefficient µeff Etienne Nowak et al. – SSDM 2009 16
  • 17. Retention Model to extract the ∆Lcharged Effective charged Length 150 Drift-Diffusion, Shape1 increase∆ Lcharged [nm] Drift-Diffusion, Shape2 Charge density Qcharged Shape1 Drain 100 Diffusion, Shape1 Shape2 side Source side Lcharged Position ∂n( x, t ) 50 V =0 ∂x =0 ∆ Lcharged=A*ln(t) A=α µeffQtotal/εrε 0 2007 -3 -1 1 3 5 7 10 10 10 10 10 10 Timet [s] Drift predominant over Diffusion ∆Lcharged independent of the shape of the trapped charges Drift follows an empirical law: Lcharged=Lcharged0+A*ln(t) Etienne Nowak et al. – SSDM 2009 17
  • 18. Data vs model: lateral charge migration 25 HfO2 Effective Charged Length increase ∆Lcharged [nm] Al2O3 20 A=3.7 Si3N4 15 10 A=1.7 5 A=0.55 0 2007 3 4 5 10 10 10 Time t [s] Lateral migration for the three material follows a logarithmic law with different A coefficient Lowest drift observed for Si3N4 Etienne Nowak et al. – SSDM 2009 18
  • 19. Outline Motivation Methodology Program operation 2007 Retention Conclusion Etienne Nowak et al. – SSDM 2009 19
  • 20. Conclusion Comparative study of trapping properties in Si3N4, HfO2 and Al2O3 in program and retention conditions Large window (~10 V) possible for all trapping materials Maximum Qcharged is limited by electrostatics not by the trapping layer properties Method allows separating vertical vs lateral 2007 charge migration Lateral migration, due to charge drift, is the main Vt shift mechanism in retention mode for the three materials at 25°C Log(t) dependence of lateral migration, and Si3N4 shows the lowest drift Etienne Nowak et al. – SSDM 2009 20
  • 21. Thanks for your attention! 2007 Etienne Nowak et al. – SSDM 2009 21
  • 22. Extraction Method Analytical model Based on Liu Surface Potential model Calculate ∆VtR and ∆VtF for a given Qcharged and Lcharged Extract Qcharged and 2007 Lcharged from measured ∆VtR and ∆VtF [L. Perniola et al., IEEE Trans. on Nanotech., Vol. 4, No. 3, pp. 360- 368, May 2005] Etienne Nowak et al. – SSDM 2009 22
  • 23. Retention Model Drift-Diffusion equation  ∂n ( x , t ) ∂ ∂ 2n(x , t )  = [µeff n(x , t )E (x , t )] + D  ∂t ∂x ∂x 2   ∂E ( x , t ) = qn( x , t )  ∂x  εr ε0 Diffusion equation Drift equation 2007 D=0 µeff = 0 ∂n ( x , t ) ∂ 2n( x , t )  x n( x , t )dx  =D ∂n ( x , t ) ∂  ∫ ∂t ∂x 2 = A* n( x , t ) 0∞  ∂t ∂x  n( x , t )dx    ∫0   µeff q ∫ n( x , t )dx ∞ µeff Qtotal A = * 0 = εr ε0 εr ε0 Etienne Nowak et al. – SSDM 2009 23