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Table 3. Interconnect parasitics for a bundled MWCNT for process induced bundle widths at
100µm interconnect length
Parameters
5 shell
10 shell
15 shell
Min
Max
Min
Max
Min
Max
n CNT
162
219
45
55
18
25
N channel
384
519
302
369
235
326
R Q (Ω)
13
9.61
9.04
7.39
7.9
5.7
R S (Ω)
1299
961
904
740
795
573
L K ( nH)
2.1
1.54
2.96
2.42
3.61
2.59
L M (nH)
0.102
0.102
0.896
0.896
0.0821
0.0821
C Q (pF)
7.41
10.02
5.83
7.13
4.53
6.3
C E (fF)
9.78
13.035
6.205
7.446
4.07
5.423
C M (fF)
21.56
21.56
15.505
15.505
14.231
14.231
2.5
0.7
0.6
0.5
0.4
2.0
0.3
0.2
0.1
1.5
4 6 8 0 2 4 6
4 6 8 0 2 4 6
Number of Shells
Number of shells
(a)
(b)
Fig. 4. Average crosstalk deviation for Gaussian distributed bundle (a) height and (b) width
Figure 4(a) presents the average crosstalk deviation for Gaussian distribution of
MWCNTs in different bundle heights. It is observed that the average crosstalk
deviation reduces for the bundle having MWCNTs with higher number of shells. For
10% deviation in heights, there are lesser number of 15-shell MWCNTs that are
accommodated in comparison to the bundle having 10- and 5-shell MWCNTs as
presented in Table 2. It causes lesser effect of capacitive coupling between two
bundled MWCNTs (Table 2). Therefore, a bundle having MWCNTs with 15-shells
exhibits lower crosstalk deviation as compared to the bundles having MWCNTs with
10-shell and 5-shell respectively.
Figure 4(b) demonstrates the average crosstalk deviation for Gaussian distribution
of MWCNTs in different bundle widths. For the bundle dimension of (45nm × 91nm),
it is observed that the average crosstalk deviation increases for the bundle having
MWCNTs with 10-shells whereas reduces for the bundle having MWCNTs with 15-
shells. The primary reason behind this effect is the difference between minimum and
maximum number of conducting channels in a bundled MWCNT. For the bundle
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