We consider the nearest-neighbour tight binding model of honeycomb lattice in magnetic fields and discover surprizing new analytical results that fully explain fractal spectra experimentally observed asymmetries density states molecular graphene. describe a Cantor spectrum for irrational flux through honeycomb, establish existence zero energy Dirac cones each rational with explicit estimates on...

In this study, Polyaniline molecule (emeraldine base) is modeled as a molecular wire and the effects of the metal/molecule coupling strength and the molecule length on the current-voltage (I-V) characteristics are numerically investigated. Using a tight-binding Hamiltonian model, the methods based on Non-equilibrium Green’s function theory, Landauer formalism and Newns-Anderson model, our calcu...

we describe how to obtain electronic transport properties of disordered graphene, including the tight binding model and nearest neighbor hopping. we present a new method for computing, electronic transport wave function and greens function of the disordered graphene. in this method, based on the small rectangular approximation, break up the potential barriers in to small parts. then using the f...