Mohanty and Webb Reply

A Reply to the Comment by V. I. Fal\u27ko et al

On spectral properties of bilayer graphene: the effect of an sic substrate and infrared magneto-spectroscopy

Abstract We investigate the effect of asymmetry in bilayer graphene induced by a diatomic substrate (such as SiC) and its influence on the bilayer spectrum in zero and strong magnetic fields. We also determine selection rules for inter-Landau level transitions, taking into account all four π bands. The discovery of self-standing graphene-planes of carbon atoms arranged in a honeycomb lattice [1]-stimulated intense studies of monolayer and bilayer graphene structures (see Also, interest in optical properties of graphene resulted in several experimental magneto-optics studies of graphene in FIR, IR and the visible range In this paper, we investigate the combined effect of intralayer and interlayer asymmetries caused by a substrate on the electronic spectra of bilayer graphene, both with and without applied magnetic field. We show that intralayer asymmetry leads to the opening of an indirect gap with a 'Mexican hat'-type feature in one of the bands (whether conduction or valence depends on the sign of the asymmetry) and to an asymmetric density of states (DOS). This is different to the DOS in 'biased' bilayer graphene A schematic view of bilayer graphene (marked with the hopping integrals considered throughout this paper) and the Brillouin zone of bilayer graphene are shown in , 0) (where ξ ∈ {+, −} and a is the lattice constant). We restrict ourselves to nearest neighbour inplane and A1(2) ↔ B2(1) interactions in the tight-binding approximation of π orbitals ψ μi (μ ∈ {A, B}, i ∈ {1, 2}) and parametrize hopping integrals and on-site asymmetries according to the Slonczewski-Weiss-McClure mode

Hybrid k⋅p\mathbf{k\cdot p}-tight-binding model for intersubband optics in atomically thin InSe films

We propose atomic films of n-doped $\gamma$-InSe as a platform for intersubband optics in the infrared (IR) and far infrared (FIR) range, coupled to out-of-plane polarized light. Depending on the film thickness (number of layers) of the InSe film these transitions span from $\sim 0.7$ eV for bilayer to $\sim 0.05$ eV for 15-layer InSe. We use a hybrid $\mathbf{k} \cdot \mathbf{p}$ theory and tight-binding model, fully parametrized using density functional theory, to predict their oscillator strengths and thermal linewidths at room temperature

Snake states in graphene quantum dots in the presence of a p-n junction

We investigate the magnetic interface states of graphene quantum dots that contain p-n junctions. Within a tight-binding approach, we consider rectangular quantum dots in the presence of a perpendicular magnetic field containing p-n, as well as p-n-p and n-p-n junctions. The results show the interplay between the edge states associated with the zigzag terminations of the sample and the snake states that arise at the p-n junction, due to the overlap between electron and hole states at the potential interface. Remarkable localized states are found at the crossing of the p-n junction with the zigzag edge having a dumb-bell shaped electron distribution. The results are presented as function of the junction parameters and the applied magnetic flux.Comment: 13 pages, 23 figures, to be appeared in Phys. Rev.