Lecture 2: General Model for Transport

By Mark Lundstrom

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

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Abstract

Datta's model of a nanodevice (a version of the Landauer approach) is introduced as a general way of describing nanodevices as well as bulk metals and semiconductors.

Outline:

  1. The model device
  2. The mathematical model
  3. Modes
  4. Transmission
  5. Near-equilibrium (linear) transport
  6. Transport in the bulk
  7. Summary
  8. References

Sponsored by

“Electronics from the Bottom Up” is an educational initiative designed to bring a new perspective to the field of nano device engineering. It is co-sponsored by the Intel Foundation and the Network for Computational Nanotechnology.

Cite this work

Researchers should cite this work as follows:

  • Mark Lundstrom (2011), "Lecture 2: General Model for Transport," https://nanohub.org/resources/11745.

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Time

Location

Burton Morgan 121, Purdue University, West Lafayette, IN

Tags

  1. bottom up approach
  2. bulk materials
  3. bulk semiconductors
  4. Landauer's formula
  5. nanoelectronics
  6. near equilibrium transport
  7. Summer School
Lecture 2: General Model for Transport
  • NCN Summer School: July 2011 Near-equilibrium Transport: Fundamentals and Applications Lecture 2: General model for transport Mark Lundstrom 1. NCN Summer School: July 2011 … 0
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  • copyright 2011 2. copyright 2011 37.466666666666669
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  • outline 3. outline 38.5
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  • Landauer-Datta model for a nano-device 4. Landauer-Datta model for a nan… 47.166666666666664
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  • questions 5. questions 288.86666666666667
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  • assumptions 6. assumptions 315.3
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  • outline 7. outline 498.06666666666666
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  • filling states from the left contact 8. filling states from the left c… 510.83333333333331
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  • filling states from the right contact 9. filling states from the right … 649.73333333333335
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  • steady-state 10. steady-state 684.0333333333333
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  • steady-state electron number, N(E) 11. steady-state electron number, … 815.1
    00:00/00:00
  • steady-state electron number, N 12. steady-state electron number, … 917.6
    00:00/00:00
  • questions 13. questions 1005.9
    00:00/00:00
  • steady-state current, I 14. steady-state current, I 1018.3666666666667
    00:00/00:00
  • steady-state current, I 15. steady-state current, I 1104.3666666666666
    00:00/00:00
  • questions 16. questions 1148.6666666666667
    00:00/00:00
  • outline 17. outline 1218.9666666666667
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  • modes or conducting channels 18. modes or conducting channels 1240.9333333333334
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  • a 2D ballistic channel 19. a 2D ballistic channel 1297.4333333333334
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  • the “experiment” 20. the “experiment” 1378.4
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  • transit time 21. transit time 1467
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  • modes (conducting channels) in 2D 22. modes (conducting channels) in… 1579.5
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  • a 2D ballistic channel 23. a 2D ballistic channel 1674.8666666666666
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  • modes in 2D 24. modes in 2D 1684.6333333333334
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  • interpretation 25. interpretation 1761.2333333333334
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  • waveguide modes 26. waveguide modes 1834.5
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  • waveguide modes 27. waveguide modes 1880.6666666666667
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  • density of states (for parabolic energy bands) 28. density of states (for parabol… 1952.8666666666666
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  • number of modes (for parabolic energy bands) 29. number of modes (for parabolic… 1982.5
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  • summary 30. summary 2017.5
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  • outline 31. outline 2080.9333333333334
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  • ballistic transport in 2D 32. ballistic transport in 2D 2099.4
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  • diffusive transport in 2D 33. diffusive transport in 2D 2146.7666666666669
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  • ballistic vs. diffusive transport 34. ballistic vs. diffusive transp… 2260.1
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  • diffusive transport 35. diffusive transport 2280.2
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  • transit time 36. transit time 2320.3333333333335
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  • diffusive transport 37. diffusive transport 2444.6
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  • transmission 38. transmission 2651.9
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  • outline 39. outline 2826.6333333333332
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  • Landauer expression for current 40. Landauer expression for curren… 2835.6666666666665
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  • linear response 41. linear response 2879
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  • outline 42. outline 3003.5333333333333
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  • near-equilibrium, bulk transport 43. near-equilibrium, bulk transpo… 3012.8
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  • near-equilibrium, bulk transport 44. near-equilibrium, bulk transpo… 3157.7333333333331
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  • the drift-diffusion equation 45. the drift-diffusion equation 3329.1333333333332
    00:00/00:00
  • what about holes? 46. what about holes? 3470.9666666666667
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  • what about holes? 47. what about holes? 3553.5
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  • outline 48. outline 3665.8
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  • current flows when the Fermi-levels are different 49. current flows when the Fermi-l… 3670.1666666666665
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  • near equilibrium 50. near equilibrium 3711.2333333333331
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  • transport in the bulk 51. transport in the bulk 3731.5666666666666
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  • outline 52. outline 3747.1333333333332
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  • for more information 53. for more information 3748.9666666666667
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  • for even more information 54. for even more information 3783.1333333333332
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  • questions 55. questions 3799.3333333333335
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