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due to which each shell exhibits different physical and electrical properties.
MWCNTs having diameter greater than 20nm are conductive in nature as they
exhibits band gap lesser than the thermal energy at room temperature ( E G < k BT
0.0258eV) [2]. The number of conducting channels and mean free path increases for
higher diameters of MWCNTs [8] that exhibits an improved performance as
compared to the SWCNTs. MWCNT bundle can be preferred over single MWCNT or
bundled SWCNT as it provides more number of conducting channels. Specific
arrangements of MWCNT bundles can be obtained by using a technique known as
atomic force microscopy (AFM) [8].
Advancement in current technology results in shrinking device dimensions that
requires more sophisticated technological tools. There is always a certainity in
achieving these small device dimensions. In this research paper, these certainties are
considered for process induced bundle width and height variations. Variation in
bundle width and height offers more deviation in outputs as compared to any other
process or parameter variations. The research paper is organized in four different
sections: Section 1 introduces a recent research scenario and briefs about the works
carried out. Using the geometry and bundle arrangements, section 2 presents an
analytical model of bundled MWCNT. A detailed analysis of Monte Carlo
simulations by using capacitively coupled interconnect lines is presented in section 3.
The impact of bundle height and width on average crosstalk deviation is analyzed in
section 4. Finally, section 5 draws a brief summary of this paper.
2
Interconnect Model
This section presents an analytical model of MWCNT bundle that depends on the
arrangements of MWCNTs. Initially, an equivalent RLC model of single MWCNT is
presented by considering the effects of shell diameter and conducting channels.
Finally, this model extends to describe a distributed RLC network that provides a
detailed analysis for different interconnect parasitics of bundled MWCNT.
(a) (b)
Fig. 1. Geometry and arrangements of (a) single and (b) bundled MWCNT
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