Repeater Insertion for Multi-Walled Carbon Nanotube Interconnects

Abstract

Closed-form expressions for the optimized number and size of repeaters in multi-walled carbon nanotube (MWCNT) interconnects are presented. The contact resistance and inductive effects are taken into account. It is found that the propagation delay of MWCNT interconnects can be reduced effectively by inserting repeaters. However, the contact resistance has a significant influence on the optimized number and size of repeaters. Moreover, it is found that both the optimal number of repeaters and the minimum propagation delay are kept almost unchanged with the variation of carbon nanotube (CNT) kinetic inductance. The optimal number of repeaters in the MWCNT interconnect is much smaller than that in its Cu counterpart, thus saving chip area and power consumption.

RF and Crosstalk Analysis of Copper and MLGNR Interconnects Using Different Repeaters in Sub-10 nm Regime

“…The crosstalk induced delay is caused predominantly by capacitive coupling in global level chip interconnects. The capacitive coupling of Cu [24,35] and MLGNR [36] are estimated using analytical expressions (21)(22). In case of Cu, the coupling capacitance (CCCU) is approximated using semi-empirical approach in which the CCCU contemplates variations in electric flux with reference to geometrical parameters illustrated in Fig.…”

“…Different repeater insertion techniques for bundled SWCNT/MWCNT interconnects have been investigated in [19][20]. The impact of contact resistances on performance of interconnects among the CNTs and metallic electrodes for repeater insertions have been analysed in [21]. They authors of [21] and [22] introduced repeater insertion techniques for optimizing power for RC interconnect models.…”

Mini-Review: Modeling and Performance Analysis of Nanocarbon Interconnects

“…To resolve this issue, an analytical expression of the optimal repeater number was derived based on the Elmore delay equation in [86]. Furthermore, the influence of inductance on the repeater design in an MWCNT interconnect was considered [87]. Using the multivariable curve fitting technique, the closed-form expressions of optimal repeater size and the optimal number of segments can be obtained.…”

Optimal repeater insertion for horizontal and vertical graphene nanoribbon interconnects

“…To this end, the repeater insertion techniques with consideration of the power dissipation have been developed . Furthermore, the optimal repeater designs have been conducted for carbon nanotube interconnects, with the metal‐nanotube contact resistance treated appropriately . However, there are few reports on optimal repeater design for HGNR interconnects, not to mention VGNR interconnects.…”

“…14,15 Furthermore, the optimal repeater designs have been conducted for carbon nanotube interconnects, with the metalnanotube contact resistance treated appropriately. [16][17][18] However, there are few reports on optimal repeater design for HGNR interconnects, not to mention VGNR interconnects. An optimal repeater insertion algorithm was developed for HGNR interconnects, but the influence of kinetic inductance was not considered.…”