Abstract

Multi-walled carbon nanotube (MWCNT) bundles have potentially provided attractive solutions in current nanoscale VLSI interconnects. From fabrication point of view, it is difficult to control the growth of a densely packed bundle having MWCNTs with similar diameters. A realistic bundle is combination of MWCNTs with different number of shells. Thus, this research work focuses on the analytical model of a bundle having the MWCNTs with different number of shells or in turn different diameters (mixed MWCNT bundle (MMB)). Based on the multi-conductor transmission line theory, an equivalent single conductor (ESC) model is employed for the proposed MMB arrangements. The ESC model of MMB is used to compare the dynamic crosstalk delay with conventionally arranged bundle containing MWCNTs with similar diameters (MWCNT bundle (MB)) under different input transition time and spacing conditions. It is observed that a realistic MMB correctly estimates the crosstalk delay for the different transition time that overestimates the delay of a conventionally arranged MB by 1.35 times. Moreover, the MMB arrangement reduces the overall crosstalk delay by 47.26% compared with the conventional MB arrangements for an inter-bundle spacing ranging from 5 to 30 nm.

Highlights

  • During the recent past, researchers have considered carbon nanotubes (CNTs) as a potential interconnect material in high-speed electronics because of their unique physical [1], mechanical [2], electrical [3], chemical and thermal properties [4]

  • Multi-walled carbon nanotube (MWCNT) consists of several coaxial cylindrical shells with different chirality that primarily depends on the rolled up direction of graphene sheets

  • The mixed bundle follows the arrangements of MWCNTs with a higher number of shells at the periphery, whereas the MWCNTs of smaller diameters are placed at centre of the bundle

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Summary

Introduction

Researchers have considered carbon nanotubes (CNTs) as a potential interconnect material in high-speed electronics because of their unique physical [1], mechanical [2], electrical [3], chemical and thermal properties [4]. In the current research scenario, it is preferred to fabricate and model the bundles where the MWCNTs of different diameters can be taken care of to achieve a densely packed bundle. To meet such requirements, this research paper presents two different types of CNT bundles: (i) bundles having MWCNTs with equal diameters [MWCNT bundle (MB)] and (2) bundles having MWCNTs with different diameters [mixed MWCNT bundle (MMB)]. This research paper presents an equivalent single conductor (ESC) model of MWCNT bundle by correctly modelling the diameter dependent mfp and number of conducting channels.

Geometry and ESC model
ESC model
Capacitively coupled interconnect lines
Crosstalk analysis
Crosstalk delay for different transition times
Crosstalk delay for different spacings
Findings
Conclusion
Full Text
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