
Graphene is a single layer of carbon atoms arranged in a hexagonal lattice, exhibiting exceptional electrical, mechanical, and thermal properties.Graphene is a two-dimensional form of carbon, where atoms are bonded in hexagons, like a beehive honeycomb. Such a lattice makes it both stiff and flexible. Electrons in it behave like massless particles, providing exceptionally high mobility (over 200,000 cm²/V·s) and the ability to move without scattering over large distances.
Theoretical studies of graphite layers began with P.R. Wallace in 1947. The term 'graphene' was introduced in 1987. The breakthrough occurred in 2004, when Andre Geim and Konstantin Novoselov, using Scotch tape, exfoliated a monolayer of graphite, proving the stability of two-dimensional crystals. In 2010 they received the Nobel Prize in Physics. This discovery triggered a wave of studies of other two-dimensional materials.
The electronic properties of graphene are determined by the symmetry of its lattice and the tight-binding approximation. Near the vertices of the Brillouin zone, the dispersion is linear: E = ħ v_F |k|, where v_F is about 10⁶ m/s. The chirality of the carriers (pseudospin rigidly linked to the direction of motion) suppresses backscattering, ensuring ballistic transport. Mechanical strength is provided by the high energy of sp²-bonds. By applying a voltage, one can change the type of conductivity (electrons or holes), so graphene is an ambipolar semimetal. The gapless band structure hinders application in digital logic.
Flexible displays, ultrafast transistors, reinforced composites, high-capacity batteries.
A sheet of graphene the size of a football field would weigh less than a cat's whisker.



























