Lecture 2: General Model for Transport

By Mark Lundstrom

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

Published on

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," http://nanohub.org/resources/11745.

    BibTex | EndNote

Time

Location

Burton Morgan 121, Purdue University, West Lafayette, IN

Tags

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
    00:00/00:00
  • 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
    00:00/00:00
  • modes or conducting channels 18. modes or conducting channels 1240.9333333333334
    00:00/00:00
  • a 2D ballistic channel 19. a 2D ballistic channel 1297.4333333333334
    00:00/00:00
  • the “experiment” 20. the “experiment” 1378.4
    00:00/00:00
  • transit time 21. transit time 1467
    00:00/00:00
  • modes (conducting channels) in 2D 22. modes (conducting channels) in… 1579.5
    00:00/00:00
  • a 2D ballistic channel 23. a 2D ballistic channel 1674.8666666666666
    00:00/00:00
  • modes in 2D 24. modes in 2D 1684.6333333333334
    00:00/00:00
  • interpretation 25. interpretation 1761.2333333333334
    00:00/00:00
  • waveguide modes 26. waveguide modes 1834.5
    00:00/00:00
  • waveguide modes 27. waveguide modes 1880.6666666666667
    00:00/00:00
  • density of states (for parabolic energy bands) 28. density of states (for parabol… 1952.8666666666666
    00:00/00:00
  • 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
    00:00/00:00
  • ballistic transport in 2D 32. ballistic transport in 2D 2099.4
    00:00/00:00
  • diffusive transport in 2D 33. diffusive transport in 2D 2146.7666666666669
    00:00/00:00
  • 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
    00:00/00:00
  • diffusive transport 37. diffusive transport 2444.6
    00:00/00:00
  • transmission 38. transmission 2651.9
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  • outline 39. outline 2826.6333333333332
    00:00/00:00
  • Landauer expression for current 40. Landauer expression for curren… 2835.6666666666665
    00:00/00:00
  • linear response 41. linear response 2879
    00:00/00:00
  • outline 42. outline 3003.5333333333333
    00:00/00:00
  • near-equilibrium, bulk transport 43. near-equilibrium, bulk transpo… 3012.8
    00:00/00:00
  • near-equilibrium, bulk transport 44. near-equilibrium, bulk transpo… 3157.7333333333331
    00:00/00:00
  • the drift-diffusion equation 45. the drift-diffusion equation 3329.1333333333332
    00:00/00:00
  • what about holes? 46. what about holes? 3470.9666666666667
    00:00/00:00
  • what about holes? 47. what about holes? 3553.5
    00:00/00:00
  • outline 48. outline 3665.8
    00:00/00:00
  • 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
    00:00/00:00
  • transport in the bulk 51. transport in the bulk 3731.5666666666666
    00:00/00:00
  • outline 52. outline 3747.1333333333332
    00:00/00:00
  • for more information 53. for more information 3748.9666666666667
    00:00/00:00
  • for even more information 54. for even more information 3783.1333333333332
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  • questions 55. questions 3799.3333333333335
    00:00/00:00