Proposal and analysis of relative stability in mixed CNT bundle for sub-threshold interconnects

Abstract

We introduce a Nyquist stability analysis of coupled mixed CNT bundle (MCB) for sub-threshold interconnects. In this analysis, the dependence of relative stability of sub-threshold MCBs with specific and probabilistic distribution of CNTs, on the geometry and probability of metallic CNTs, has been obtained. Using the proposed ABCD model and Nyquist stability criterion for sub-threshold MCBs, we show that, by increasing the diameter of each individual CNT and the length of MCB, the sub-threshold MCB interconnect system becomes more stable, while a densely packed MCB reduces the relative stability. Moreover, the crosstalk impact results in the greater stability of sub-threshold MCB system in comparison to a single interconnect. The crosstalk delay of MCB and composite Cu-MWCNT interconnects is also compared at various lengths. This is, so far, the first instance that such an analysis has been presented for coupled sub-threshold MCB interconnects.