Information Technology Reference
In-Depth Information
4
Performance Analysis
This section provides a detailed insight of crosstalk delay using Gaussian distributed
bundle widths and heights. Performance is analyzed for a bundle having MWCNTs
with different numbers of shells. To analyze the average crosstalk deviations, the
minimum and maximum dimensions of an MWCNT bundle are presented in Table 1.
The average crosstalk deviation is investigated for the bundles having MWCNTs with
5-, 10- and 15-shells.
Tables 2 and 3 summarizes the variation in interconnect parasitics for bundled
MWCNTs for different bundle heights and widths respectively. The different
interconnect parasitics includes the total number of MWCNTs in bundle, total number
of conducting channels, quantum resistance, scattering resistance, kinetic and
magnetic inductance, quantum capacitance, electrostatic capacitance and coupling
capacitance. It is observed that the total number of conducting channels increases for
maximum bundle width and height which is due to the higher number of MWCNTs in
bundle. The higher number of conducting channels significantly lowers the resistive
and inductive parasitics whereas capacitive parasitics are increased as directed from
expressions (7) to (9). Thus, a MWCNT bundle with minimum dimension exhibits
higher parasitic values as compared to the maximum dimension of the bundle.
Table 1.
Variation in bundle dimension
Parameters
Nominal value
Variation
Minimum
value (nm)
Maximum
value (nm)
Width (
W
)
45nm
10%
40.5
49.5
81nm
Height (
H
)
10%
72.9
89.1
Table 2.
Interconnect parasitics of a bundled MWCNT for process induced bundle heights at
100µm interconnect length
Parameters
5 shell
10 shell
15 shell
Min
Max
Min
Max
Min
Max
n
CNT
179
221
50
61
21
28
N
channel
424
524
336
410
274
365
R
Q
(Ω)
11.8
9.52
8.14
6.7
6.82
5.11
R
S
(Ω)
1175
952
814
667
682
511
L
K
(
nH)
1.88
1.53
2.66
2.18
3.1
2.32
L
M
(nH)
0.102
0.102
0.09
0.09
0.082
0.082
C
Q
(pF)
8.19
10.11
6.48
7.91
5.3
7.04
C
E
(fF)
11.95
11.95
7.45
7.45
5.423
5.423
C
M
(fF)
19.2
23.71
13.95
17.1
12.2
16.3
