graphene

Spectral density in SGS junction

Calculates the spectral density as a function of the transverse momentum quantum number in a ballistic superconductor-graphene-superconductor junction.

Graphite

Graphite is a cheap 3D form of carbon. We had not perform many investigation on graphite yet, but we steadily use it (e.g. pencil).

From 3D to 2D

Experimentalist's wayTheoretician's way
In 2004 physicists from University of Manchester and Institute for Microelectronics Technology, Chernogolovka, Russia, found a way to isolate individual graphene planes by peeling them off from graphite with Scotch tape. They also measured electronic properties of the obtained flakes and showed their fantastic quality.

Adatoms on graphene

Carbon nanostructures such as fullerenes and carbon nanotubes have been at the forefront of materials science for over two decades. Graphene with its two-dimensional honeycomb structure and linear low-energy electron dispersion exhibits a host of interesting chemical and physical properties such as the quantum Hall effect and Klein tunneling, combined with a variety of possible applications ranging from single molecule sensing to high electron mobility transistors. The chemical modification of graphene through the addition of functional groups can lead to graphene

Zitterbewegung

The Zitterbewegung (ZB) was first regarded as a relativistic effect rooted in the Dirac equation and related to a ‘trembling’ or oscillatory motion of the center of a free wave packet. The ZB is caused by the interference between the positive and negative energy states in the wave packet; the characteristic frequency of this motion is determined by the gap between the two states.

Graphene

Graphene can be considered as an infinite diameter carbon nanotube, or as an infinitely large aromatic molecule, the limiting case of the family of flat polycyclic aromatic hydrocarbons (PAH) or perhaps a single sheet of graphite. For many years graphene was only considered as a hypothetical limit, the theoreticians' tool in determining physical properties of carbon nanotubes or other systems.

Spin-hedgehog found in graphene

The recent paper of the researchers of Helmholtz-Zentrum Berlin für Materialien und Energie confirmed the predictions of our group. The hedgehog and the anti-hedgehog had already been present in the previously realized graphene systems. However, they were inseparably superimposed. Only by breaking of the sublattice symmetry, the hedgehog could be separated from the anti-hedgehog.

Hex Lead Hamiltonians

Class to create the Hamiltonian of one unit cell in a ribbon made of hexagonal lattice structure, including graphene and silicene.

Minimal conductivity (MC) of graphene

Calculates the minimal conductivity of a single layer graphene ribbon as a function of the aspect ratio.