Analysis of Electrostatically Induced Interconnect Structures in Single-Layer Graphene via a Conservative First-Principles Modeling Technique

Electrostatically induced interconnect structures in graphene are an alluring alternative for nanoribbons to be used in future integrated circuits (ICs) because of the avoidance of edge scattering. In this contribution, these structures are analyzed using a novel first-principles modeling approach, based on higher-order conservative partitioned Runge-Kutta time stepping for the (2+1)D Dirac equation. The validity […]

Analysis of Electronic Waveguide Bends in Graphene Subject to Dirac Point Fluctuations

Various optics-inspired electronic devices based on graphene have been proposed, owing to the linear dispersion relation of the charge carriers. In this contribution, the waveguide bend is examined by means of a higher-order time-domain method for the (2+1)D Dirac equation and it is demonstrated that, because of the peculiar properties of graphene, sharp waveguide bends […]

A conservative fourth-order real space method for the (2+1)D Dirac equation

Modelling the time-dependent (2+1)D Dirac equation has recently gained importance since this equation effectively describes multiple condensed matter systems. To avoid the large dispersion errors of second-order real space schemes, a highly accurate method is presented here instead. The method utilises a fourth-order central difference on a staggered grid and an explicit symplectic Partitioned Runge–Kutta […]