Collective electron phenomena in graphene

The Photoeffect on Graphene and Axion Detection by Graphene

“…If the wave function of the first triangle sublattice system is ϕ 1 and the wave function of the second triangle sublattice system is ϕ 2 , then the total wave function of the electron noving in the hexagonal system is superposition ψ = c 1 ϕ 1 + c 2 ϕ 2 , where c 1 and are c 2 appropriate functions of coordinate x and functions ϕ 1 , ϕ 2 are functions of wave vector k and coordinate x. The next crucial step in the graphene physics is the definition of the new spinor function discussed by Lozovik et al(2008).…”

The Cherenkov Effect in Graphene-Like Structures

“…If the wave function of the first triangle sublattice system is ϕ 1 and the wave function of the second triangle sublattice system is ϕ 2 , then the total wave function of the electron moving in the hexagonal system is superposition ψ = c 1 ϕ 1 + c 2 ϕ 2 , where c 1 and are c 2 appropriate functions of coordinate x and functions ϕ 1 , ϕ 2 are functions of wave vector k and coordinate x. The next crucial step is the new spinor function defined as [19].…”

Electron–electron and electron–hole pairing in graphene structures

“…Thereby, graphene offers a unique possibility to study effectively ultrarelativistic charged particles in condensed-matter phenomena (Katsnelson et al 2006;Katsnelson & Novoselov 2007) and particularly in collective phenomena (Lozovik et al 2008;Berman et al 2008a,b). Absence of mass for electrons make it possible to achieve new regimes of quantum many-particle system behaviour in graphene.…”