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 […]