jose corona advisors lin you and joseph kopanski
play

Jose Corona Advisors: Lin You and Joseph Kopanski Engineering - PowerPoint PPT Presentation

COMSOL SIMULATION STUDY OF THE EFFECT OF PROBE TIP SHAPE ON THE MEASUREMENT OF AN ELECTRICAL FIELD GRADIENT GENERATED BY MICROELECTRONIC TEST STRUCTURES Jose Corona Advisors: Lin You and Joseph Kopanski Engineering Physics Division, PML


  1. COMSOL SIMULATION STUDY OF THE EFFECT OF PROBE TIP SHAPE ON THE MEASUREMENT OF AN ELECTRICAL FIELD GRADIENT GENERATED BY MICROELECTRONIC TEST STRUCTURES Jose Corona Advisors: Lin You and Joseph Kopanski Engineering Physics Division, PML Summer 2016

  2. OUTLINE Ø Theory Ø Results Ø Conclusions Ø Scanning Kelvin Force Ø Importance of tip shape Ø Future Work Microscopy (SKFM) Ø Cantilever Effect Ø References Ø Motivation Ø Importance of Tip Shape Ø COMSOL Model Ø Clearance Effect Builder Ø Differential Voltage Ø Different Size Ratios 2

  3. MOTIVATION Ø Precise nano-scale measurements Ø Use of Scanning Kelvin Force Microscopy (SKFM) Ø Electric Field Measurements are HIGHLY dependent on the shape of the probe Ø Design an Electrical Tip Image from Semiconductor Manufacturing & Design Community Shape Profiler Reference Material 3

  4. WORKING PRINCIPLES OF SKFM (Kaja’s PhD THESIS 2010) Image credit: Kaja Ø Tapping Mode vs. Mode Lift 15° Scanning Kelvin Force Microscope (SKFM) 4

  5. COMSOL MODEL BUILDER Fig. 5 Domain Probe Image credit: Kaja (Kaja’s PhD THESIS 2010) 5

  6. COMSOL MODEL BUILDER Air Materials Copper Glass 6

  7. COMSOL MODEL BUILDER Electrostatics Floating Potential Ø Charge Conservation Ø Zero Charge Ø Floating Potential Ground Ø Biasing Ø Ground +10V 7

  8. COMSOL MODEL BUILDER Meshing 8

  9. COMSOL MODEL BUILDER Parametric Sweep ∠𝑢𝑗𝑞 Clearance 9

  10. IMPORTANCE OF TIP SHAPE Surface Potential of Lateral Scan 2 1.8 Ø The Surface Potential Surface Potential [V] 1.6 1.4 dependency on the 1.2 shape of the tip 1 0.8 Ø Sharper vs. Blunter 0.6 0.4 tips 0.2 0 Ø 5° -2 0 1 2 3 4 5 -5 -4 -3 -1 Position [ µ m] Ø (-2.52 , 0.140) 5° 20° 35° 12.5° 27.5° Ø ( 2.66 , -0.149 ) Instantaneous Surface Potential at any Given Point Ø 35° 0.2 Derivative Surface Potential [dV] 0.15 Ø ( -2.52 , 0.101 ) 0.1 0.05 Ø ( 2.66 , -0.113 ) 0 -2 0 1 2 3 4 5 -0.05 -5 -4 -3 -1 -0.1 -0.15 -0.2 Derivative Position [d µ m] 5° 12.5° 20° 27.5° 35° 10

  11. CANTILEVER EFFECT Cantilever Effect 0.15 5deg 0.1 25deg Surface Potential [V] 45deg 0.05 FP 0 0 5 10 15 -15 -10 -5 -0.05 -0.1 -0.15 Position [um] +10V Cantilever Effect 0.25 GRD 0.2 5deg 0.15 Surface Potential [V] 0.1 25deg 0.05 45deg 0 0 5 10 15 Glass -15 -10 -5 -0.05 -0.1 -0.15 -0.2 -10V -0.25 Position [um] 11

  12. CLEARANCE EFFECTS ON SURFACE POTENTIAL 5º Cone Angle KFM Scan 0.6 10nm Surface Potential [V] 0.5 43nm 77nm 0.4 110nm 0.3 144nm 0.2 177nm 210nm 0.1 244nm 0 -2.5 -2 -1.5 0 0.5 1 1.5 2 2.5 277nm -1 -0.5 310nm Glass Position [ µ m] +10V 35º Cone Angle KFM Scan GRD 0.45 10nm Surface Potential [V] 0.4 43nm 0.35 0.3 77nm 0.25 110nm 0.2 144nm 0.15 0.1 177nm 0.05 210nm 0 -2.5 -2 -1.5 0 0.5 1 1.5 2 2.5 244nm -1 -0.5 Position [ µm] 277nm 12

  13. CLEARANCE EFFECTS ON SURFACE POTENTIAL 5 º Cone Angle KFM Scan 2 1.8 Surface Potential [V] 1.6 1.4 1.2 1 0.8 10nm 0.6 20nm 0.4 0.2 0 -2 0 1 2 3 4 5 6 -6 -5 -4 -3 -1 Position [ µ m] GRD Glass +10V 35º Cone Angle KFM Scan 1.6 Surface Potential [V] 1.4 1.2 1 0.8 10nm 0.6 20nm 0.4 0.2 0 -2 0 1 2 3 4 5 6 -6 -5 -4 -3 -1 Position [ µm] 13

  14. DIFFERENTIAL VOLTAGE Ø 5 º Cone Angle Surface Potential of Rectangular Scan with Conical Tip 1.8 highest SP and most narrow width 1.6 Ø Coherent 1.4 results as Surface Potential [V] 1.2 5°(10nm) before 5°(20nm) 1 Ø Smaller lift 35°(20nm) 0.8 height, higher 35°(10nm) 0.6 SP 20°(20nm) 0.4 20°(10nm) 0.2 0 0 5 10 15 -15 -10 -5 Position [ µm] (20-10)nm Determining the Width of the Tip 0.005 0 Differential Voltage [dV] -15 -14 -13 -12 -11 -10 -9 -8 -2 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -7 -6 -5 -4 -3 -1 -0.005 -0.01 5° 35° 20° -0.015 -0.02 Position [ µm] 14

  15. DIFFERENT SIZE RATIOS Lateral Scan of 2:1 Eccentric Cone Short side 1.8 1.6 1.4 Long side Surface Potential [V] 1.2 1 10nm longside 0.8 10nm shortside 0.6 0.4 0.2 0 1.6 -2 0 1 2 3 4 5 6 -6 -5 -4 -3 -1 Position [ µ m] Lateral Scan of 5:1 Eccentric Cone 1.4 Ø Noticeable gap 1.2 1 Surface Potential [V] 0.8 Ø Indicates the longside 0.6 shortside direction of scan 0.4 0.2 0 -2 Position [ µ m] 0 1 2 3 4 5 6 -6 -5 -4 -3 -1 15

  16. SUMMARY AND OUTLOOK Ø Extract: Ø Base shape Ø Tip angle Ø Height Ø Future work: Ø Compare 16

  17. THANK YOU! Any Questions? References How AFM Works: Scanning Kelvin Probe Microscopy (SKPM) , Web. • (http://www.parkafm.com/index.php/medias/nano-academy/how-afm- works#prettyPhoto). Khaled Kaja . Development of nano-probe techniques for work function • assessment and application to materials for microelectronics. Physics. Universite Joseph-Fourier - Grenoble I, 2010. English. <tel-00515370> http://semimd.com/insights-from-leading-edge/2010/10/02/iftle-18- • the-3d-ic-forum-at-2010-semicon-taiwan/ 17

  18. CONCLUSIONS Ø COMSOL’s ability to simulate SKFM Ø Effect of Tip on the Surface Potential Measurement Ø Seen through development of many DUTs Ø IF SLOPE DETERMINED INSERT HERE Ø Various lift heights affect Surface Potential Ø Differential Voltage Produced Ø V 18

  19. GOALS • 3D COMSOL Simulation of Scanning Kelvin Force Microscopy (SKFM) • SKFM à Electric field measurements • Determine the field distribution to design Electrical Tip Shape Profiler Reference Material • Cone Angle • Base • Height 19

  20. THEORY OF SURFACE POTENTIAL Image from HyperPhysics Coulomb’s Law – Electric force between charges Image from HyperPhysics Electric Potential – work per unit charge to move a point charge Gauss’s Law – Used to determine the Electric field of a Gaussian surface http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elewor.html#c2 Image from HyperPhysics 20

  21. VAN DER WAAL’S FORCES Image by http://www.eng.usf.edu/~tvestgaa/ThinFilm/ 21

  22. http://mathworld.wolfram.com/FullWidthatHalfMaximum.html 22

Recommend


More recommend