ECE 606 Lecture 12: High Field, Mobility, Hall Effect, Diffusion

By Gerhard Klimeck

Electrical and Computer Engineering, Purdue University, West Lafayette, IN

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  • Gerhard Klimeck (2012), "ECE 606 Lecture 12: High Field, Mobility, Hall Effect, Diffusion," http://nanohub.org/resources/15394.

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CIVL 2104, Purdue University, West Lafayette, IN

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ECE 606 Lecture 12: High Field, Mobility, Hall Effect, Diffusion
  • Lecture 12 High Field, Mobility Hall Effect, Diffusion 1. Lecture 12 High Field, Mobilit… 0
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  • Outline 2. Outline 31.9
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  • Mobility at High Fields? 3. Mobility at High Fields? 58.06666666666667
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  • Velocity Saturation in Si/Ge 4. Velocity Saturation in Si/Ge 194.23333333333332
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  • Velocity Overshoot & Inter-valley Transfer 5. Velocity Overshoot & Inter-val… 419.46666666666664
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  • Outline 6. Outline 864.5
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  • Problem of mobility measurement – unknown doping concentration 7. Problem of mobility measuremen… 871.2
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  • Problem of mobility measurement – unknown doping concentration 8. Problem of mobility measuremen… 1025.4333333333334
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  • Outline 9. Outline 1209.6
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  • Trivia - FYI 10. Trivia - FYI 1216.4
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  • Set up for Hall Measurement 11. Set up for Hall Measurement 1257.9333333333334
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  • Drude Model for electrons * 12. Drude Model for electrons * 1428.3666666666666
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  • Drude Model & Hall Effect … 13. Drude Model & Hall Effect … 1667.2
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  • Hall Resistance 14. Hall Resistance 1735.7
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  • Hall Resistance 15. Hall Resistance 1842.8
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  • Hall Resistance 16. Hall Resistance 1880.7333333333334
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  • Temperature-dependent Concentration 17. Temperature-dependent Concentr… 1885.1666666666667
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  • Outline 18. Outline 1913.7666666666667
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  • Now the Diffusion term… 19. Now the Diffusion term… 1924.9666666666667
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  • Diffusion Flux … 20. Diffusion Flux … 2066.9
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  • Diffusion Flux … 21. Diffusion Flux … 2351.8666666666668
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  • Einstein Relationship … 22. Einstein Relationship … 2408.0666666666666
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  • Einstein Relationship … 23. Einstein Relationship … 2468.8
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  • An alternate derivation 24. An alternate derivation 2507.5666666666666
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  • Derivation for electron diffusion current 25. Derivation for electron diffus… 2547.1
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  • Derivation continued 26. Derivation continued 2576.9666666666667
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  • For holes, we repeat the derivation and find… 27. For holes, we repeat the deriv… 2638.1333333333332
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  • For thermally distributed carriers… 28. For thermally distributed carr… 2660.7
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  • Alternate way to obtain the diffusion constants 29. Alternate way to obtain the di… 2691.3333333333335
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  • An alternate derivation of Einstein’s relationship 30. An alternate derivation of Ein… 2770.6333333333332
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  • Conclusion 31. Conclusion 3047.5666666666666
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  • ECE606: Solid State Devices Continuity Equations 32. ECE606: Solid State Devices Co… 3128.9333333333334
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  • Outline 33. Outline 3134.0666666666666
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  • Now the Continuity Equations … 34. Now the Continuity Equations … 3134.5333333333333
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  • Some critical remarks about these equations 35. Some critical remarks about th… 3310.7
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  • Continuity Equation prequel: A Good Analogy 36. Continuity Equation prequel: A… 3489.2333333333331
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  • Now the Continuity Equations for electrons… 37. Now the Continuity Equations f… 3602.6666666666665
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  • Now the Continuity Equations … 38. Now the Continuity Equations … 3693.4
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  • Let’s just write the equations down… 39. Let’s just write the equatio… 3746.8333333333335
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  • Continuity Equations for Electron/Holes 40. Continuity Equations for Elect… 3814.1
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  • Equations in place, learning to solve them… 41. Equations in place, learning t… 3885.6
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  • Analytical Solutions 42. Analytical Solutions 3922.5
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  • Outline 43. Outline 3947.5
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