Optimal Homogeneous Transmission Line Model for Graphene Interconnects

The paper presents a novel technique to derive an equivalent homogeneous transmission line model of a lossy electrical interconnect embedding a graphene contact. The technique is based on the exploitation of the monotonicity property that holds for suitable matrices associated to the transmission line model. Starting from simulated or measured values of any of the terminal matrices describing the original line (e.g., impedance, admittance or scattering matrices), equivalent permittivity values are obtained by checking the behavior of an index related to such matrices. These values correspond to homogeneous transmission lines whose features (such as stored energy, propagation velocity, and characteristic impedance) provide lower and upper bound to the optimal performance. The technique is here applied to an interconnect embedding a graphene contact, which introduces a huge variability of the permittivity value.