Disorder-induced magnetooscillations in bilayer graphene at high bias

Energy spectrum of biased bilayer graphene near the bottom has a "Mexican-hat"-like shape. For the Fermi level within the Mexican hat we predict that, apart from conventional magnetooscillations which vanish with temperature, there are additional magnetooscillations which are weakly sensitive to temperature. These oscillations are also insensitive to a long-range disorder. Their period in magnetic field scales with bias, V, as V^2. The origin of these oscillations is the disorder-induced scattering between electron-like and hole-like Fermi-surfaces, specific for Mexican hat.Comment: 5 pages, 2 figure

Scattering of plasmons at the intersection of two metallic nanotubes: implications for tunneling

Journal ArticleWe study theoretically the plasmon scattering at the intersection of two metallic carbon nanotubes. We demonstrate that, for a small angle of crossing θ « 1, the transmission coefficient is an oscillatory function of λ / θ where λ is the interaction parameter of the Luttinger liquid in an individual nanotube.We calculate the tunnel density of states v(ω, x) as a function of energy ω and distance x from the intersection. In contrast with a single nanotube, we find that, in the geometry of crossed nanotubes, conventional ‘‘rapid'' oscillations in v(ω, x) due to the plasmon scattering acquire an aperiodic ‘‘slowbreathing'' envelope which has λ / θ nodes

Scattering of plasmons at the intersection of two metallic nanotubes: implications for tunneling

Journal ArticleWe study theoretically the plasmon scattering at the intersection of two metallic carbon nanotubes. We demonstrate that, for a small angle of crossing θ « 1, the transmission coefficient is an oscillatory function of θ / λ, where ω is the interaction parameter of the Luttinger liquid in an individual nanotube.We calculate the tunnel density of states v(ω,x) as a function of energy ω and distance x from the intersection. In contrast with a single nanotube, we find that, in the geometry of crossed nanotubes, conventional ‘‘rapid'' oscillations in v(ω,x) due to the plasmon scattering acquire an aperiodic ‘‘slow-breathing'' envelope which has λ / θ nodes