ECE 656 Lecture 3: Density of States

By Mark Lundstrom

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

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Abstract

Outline:
  1. Density of states
  2. Example: graphene
  3. Discussion
  4. Summary

Cite this work

Researchers should cite this work as follows:

  • Mark Lundstrom (2011), "ECE 656 Lecture 3: Density of States," https://nanohub.org/resources/11932.

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Time

Location

EE 115, Purdue University, West Lafayette, IN

Tags

  1. band structure
  2. bulk bandstructure
  3. Charge Transport
  4. course lecture
  5. density of modes
  6. density of states
  7. DOS
  8. graphene
  9. nanoelectronics
  10. nanotransistors
ECE 656 Lecture 3: Density of States
  • ECE-656: Fall 2011 Lecture 3: Density of States Professor Mark Lundstrom Electrical and Computer Engineering Purdue University, West Lafayette, IN USA 1. ECE-656: Fall 2011 Lecture 3:… 0
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  • k-space vs. energy-space 2. k-space vs. energy-space 25.066666666666666
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  • about the limits of the integrals 3. about the limits of the integr… 98.966666666666669
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  • outline 4. outline 293.76666666666665
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  • example: 1D DOS 5. example: 1D DOS 302.96666666666664
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  • example: 1D DOS for parabolic bands 6. example: 1D DOS for parabolic… 483.66666666666669
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  • density of states in a nanowire 7. density of states in a nanowir… 528
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  • 2D density of states 8. 2D density of states 765.16666666666663
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  • density of states in a film 9. density of states in a film 915.76666666666665
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  • effective mass vs. tight binding 10. effective mass vs. tight bindi… 1067.1
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  • effective mass vs. tight binding 11. effective mass vs. tight bindi… 1118.8333333333333
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  • exercise 12. exercise 1182.0333333333333
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  • how does non-parabolicity affect DOS(E)? 13. how does non-parabolicity affe… 1263.9666666666667
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  • alternative approach 14. alternative approach 1309.3333333333333
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  • proof 15. proof 1346.5
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  • interpretation 16. interpretation 1439.8333333333333
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  • outline 17. outline 1582.3666666666666
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  • graphene 18. graphene 1589.9333333333334
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  • graphene 19. graphene 1624.3
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  • simplified bandstructure near E = 0 20. simplified bandstructure near … 1725.6
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  • DOS for graphene: method 2 21. DOS for graphene: method 2 1890.9666666666667
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  • DOS for graphene: method 1 22. DOS for graphene: method 1 2024.5666666666666
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  • DOS for graphene: method 1 23. DOS for graphene: method 1 2061.0666666666666
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  • outline 24. outline 2076.5
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  • density of states 25. density of states 2082.2666666666669
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  • density of states for bulk silicon 26. density of states for bulk sil… 2145.4666666666667
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  • computing the density of states 27. computing the density of state… 2246.8666666666668
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  • density of states for bulk silicon (near the band edge) 28. density of states for bulk sil… 2404.7666666666669
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  • outline 29. outline 2586.6666666666665
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  • summary 30. summary 2590.3333333333335
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  • questions 31. questions 2644.2333333333331
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  • density of states for bulk silicon (near the band edge) 32. density of states for bulk sil… 2661.1666666666665
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  • interpretation 33. interpretation 2804.6
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  • density of states in a nanowire 34. density of states in a nanowir… 2832.5333333333333
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  • computing the density of states 35. computing the density of state… 2882.1333333333332
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