Stability analysis in multiwall carbon nanotube bundle interconnects

Based on the transmission line model (TLM), we present an exact and general transfer function formula, useful for both single multiwall carbon nanotube (MWCNT) and MWCNT bundle interconnects. Using the standard parameters for 22-nm technology node we perform the Nyquist stability analysis, to investigate the dependence of the degree of relative stability for both single and bundle interconnects on the number of walls in each MWCNT its geometry and also on the bundle geometry. The numerical results, for 1to 30-μm long interconnects composed of 3to 7-wall-CNTs, show that by increasing the length or the outer shell diameter, both single and bundle interconnects become more stable. On the other hand, an increase in the number of walls, keeping the outer shell diameter constant, increases the relative stability of the single MWCNT and decreases that of the bundle interconnects.