中国物理B ›› 2018, Vol. 27 ›› Issue (1): 17303-017303.doi: 10.1088/1674-1056/27/1/017303

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Closed-form internal impedance model and characterization of mixed carbon nanotube bundles for three-dimensional integrated circuits

Qijun Lu(卢启军), Zhangming Zhu(朱樟明), Yintang Yang(杨银堂), Ruixue Ding(丁瑞雪), Yuejin Li(李跃进)   

  1. School of Microelectronics, Xidian University, Xi'an 710071, China
  • 收稿日期:2017-08-06 修回日期:2017-10-03 出版日期:2018-01-05 发布日期:2018-01-05
  • 通讯作者: Qijun Lu E-mail:luqijun2000@126.com,qjlu@xidian.edu.cn
  • 基金资助:
    Project supported by the National Science and Technology Major Project of China (Grant No. 2015ZX03001004) and the National Natural Science Foundation of China (Grant Nos. 61604113, 61625403, 61334003, 61376039, 61574104, and 61474088).

Closed-form internal impedance model and characterization of mixed carbon nanotube bundles for three-dimensional integrated circuits

Qijun Lu(卢启军), Zhangming Zhu(朱樟明), Yintang Yang(杨银堂), Ruixue Ding(丁瑞雪), Yuejin Li(李跃进)   

  1. School of Microelectronics, Xidian University, Xi'an 710071, China
  • Received:2017-08-06 Revised:2017-10-03 Online:2018-01-05 Published:2018-01-05
  • Contact: Qijun Lu E-mail:luqijun2000@126.com,qjlu@xidian.edu.cn
  • Supported by:
    Project supported by the National Science and Technology Major Project of China (Grant No. 2015ZX03001004) and the National Natural Science Foundation of China (Grant Nos. 61604113, 61625403, 61334003, 61376039, 61574104, and 61474088).

摘要: Based on the complex effective conductivity method, a closed-form expression for the internal impedance of mixed carbon nanotube (CNT) bundles, in which the number of CNTs for a given diameter follows a Gaussian distribution, is proposed in this paper. It can appropriately capture the skin effect as well as the temperature effect of mixed CNT bundles. The results of the closed-form expression and the numerical calculation are compared with various mean diameters, standard deviations, and temperatures. It is shown that the proposed model has very high accuracy in the whole frequency range considered, with maximum errors of 1% and 2.3% for the resistance and the internal inductance, respectively. Moreover, by using the proposed model, the high-frequency electrical characteristics of mixed CNT bundles are deeply analyzed to provide helpful design guidelines for their application in future high-performance three-dimensional integrated circuits.

关键词: mixed carbon nanotube (CNT) bundle, internal impedance, closed-form expression, complex effective conductivity method

Abstract: Based on the complex effective conductivity method, a closed-form expression for the internal impedance of mixed carbon nanotube (CNT) bundles, in which the number of CNTs for a given diameter follows a Gaussian distribution, is proposed in this paper. It can appropriately capture the skin effect as well as the temperature effect of mixed CNT bundles. The results of the closed-form expression and the numerical calculation are compared with various mean diameters, standard deviations, and temperatures. It is shown that the proposed model has very high accuracy in the whole frequency range considered, with maximum errors of 1% and 2.3% for the resistance and the internal inductance, respectively. Moreover, by using the proposed model, the high-frequency electrical characteristics of mixed CNT bundles are deeply analyzed to provide helpful design guidelines for their application in future high-performance three-dimensional integrated circuits.

Key words: mixed carbon nanotube (CNT) bundle, internal impedance, closed-form expression, complex effective conductivity method

中图分类号:  (Electronic transport in nanoscale materials and structures)

  • 73.63.-b
81.07.De (Nanotubes) 85.35.Kt (Nanotube devices)