Carbon Nanotube Interconnects with Air-Gaps: Effect on Thermal Stability, Delay and Area

2017 ◽  
Vol 48 ◽  
pp. 29-37 ◽  
Author(s):  
P. Uma Sathyakam ◽  
Partha S. Mallick

This paper presents single walled carbon nanotube (SWCNT) interconnects with air as dielectric medium. We treat CNT interconnects as a discrete (fractal) media for the first time where continuum based differential equations fail to capture the physics at nanoscale and hence, we use discrete partial differential equations in this work. We have analyzed the effect of air gaps (AG) on performance factors like temperature dependent resistance R(T) of CNTs and hence the R(T)C delay of the interconnects. We have first calculated the temperature coefficient of resistance (TCR) of CNTs and analyzed the trend of changing resistance at different ambient temperatures. The R(T)C delay shows that CNT/AG interconnects can operate satisfactorily up to 500K. We then compare the R(T)C delay with ITRS predictions from 17nm to 8nm technology nodes. We have also calculated the chip area used by CNT/air-gap interconnects and found that they take up to 83% lesser area than the conventional Cu/low-k interconnects.

Author(s):  
P. Soltani ◽  
J. Saberian ◽  
R. Bahramian

In this paper, nonlinear vibration of a single-walled carbon nanotube (SWCNT) with simply supported ends is investigated based on von Karman's geometric nonlinearity and nonlocal shell theory. The SWCNT is designated as an individual shell, and the Donnell's formulations of a cylindrical shell are used to obtain the governing equations. The Galerkin's procedure is used to discretized partial differential equations (PDEs) into the ordinary differential equations (ODEs) of motion, and the method of averaging is applied to obtain an analytical solution of the nonlinear vibration of (10,0), (20,0), and (30,0) zigzag SWCNTs. The effects of the nonlocal parameters, nonlinear parameters, different aspect ratios, and different circumferential wave numbers are investigated. The results of the classical and the nonlocal models are compared with different nonlocal elasticity constants (e0a). It is shown that the nonlocal parameter predicts different resonant frequencies in comparison to the local models. The softening and/or hardening nonlinear behaviors of the CNTs may change against the nonlocal parameters. Hence, considering the geometrical nonlinearity and the nonlocal elasticity effects, the dynamical models of the SWCNTs predict their vibration behaviors accurately and should not be ignored during theoretical modeling.


This paper presents the impact of process variations in carbon nanotube based advanced bus interconnects such as single walled carbon nanotube (SWCNT), multi walled carbon nanotube (MWCNT) and mixed carbon nanotube bundle (MCB). The impact of temperature variations on paracitics of interconnects for variable interconnects at different technology nodes is analyzed. From the analysis, it reveal that the mixed bundle carbon nanotube offering the lower paracitics even higher temperatures compared to SWCNT and MWCNT which leads to lower delay and crosstalk effect when it is used in bus interconnects. Further we have also done delay analysis by changing the bundle area, number of shells and metallic ratio of three interconnect structures with the insertion of obtained parasitics using empirical formulas. It is proven that the mixed CNT (MCB) interconnect structures offered a lesser delay compared to other CNT interconnect structures. All the analysis has been done using MATLAB at 22nm and 32nm technology nodes.


AIP Advances ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 045306
Author(s):  
Georg Daniel Förster ◽  
Thomas D. Swinburne ◽  
Hua Jiang ◽  
Esko Kauppinen ◽  
Christophe Bichara

2021 ◽  
Vol 129 (1) ◽  
pp. 014309
Author(s):  
Kasidet Jing Trerayapiwat ◽  
Sven Lohmann ◽  
Xuedan Ma ◽  
Sahar Sharifzadeh

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