中国物理B ›› 2007, Vol. 16 ›› Issue (2): 511-516.doi: 10.1088/1009-1963/16/2/037

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A resistance formula for coherent multi-barrier structures

张致琛, 杨建红   

  1. Institute of Microelectronics, Lanzhou University, Lanzhou 730000, China
  • 收稿日期:2006-06-06 修回日期:2006-08-17 出版日期:2007-02-20 发布日期:2007-02-20

A resistance formula for coherent multi-barrier structures

Zhang Zhi-Chen(张致琛) and Yang Jian-Hong(杨建红)†   

  1. Institute of Microelectronics, Lanzhou University, Lanzhou 730000, China
  • Received:2006-06-06 Revised:2006-08-17 Online:2007-02-20 Published:2007-02-20

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摘要： Using the Landauer formula and the quantum S-matrix scattering theory, we derive a resistance formula for multi-barrier structure under phase coherent transmission condition. This formula shows that when the transport is coherent, the potential wells of the structure are just like conductors contributing to the overall resistance. And because the resistance formula is derived based on the scattering theory, the barrier resistance will change with the number of scattering centres (i.e. the number of barriers) in the structure.

关键词: resistance, phase coherent transmission, multi-barrier structure

Abstract: Using the Landauer formula and the quantum S-matrix scattering theory, we derive a resistance formula for multi-barrier structure under phase coherent transmission condition. This formula shows that when the transport is coherent, the potential wells of the structure are just like conductors contributing to the overall resistance. And because the resistance formula is derived based on the scattering theory, the barrier resistance will change with the number of scattering centres (i.e. the number of barriers) in the structure.

Key words: resistance, phase coherent transmission, multi-barrier structure

中图分类号:  (Theory of electronic transport; scattering mechanisms)

  • 72.10.-d