## Collective excitations of graphene excitons being in the Bose-Einstein condensate state    [PDF]

P. A. Andreev
Bose-Einstein condensation of the excitons in graphene is considered. We
suggested the model spinor equation for neutral particles with short range
interaction described the microscopic graphene excitons dynamic. Using this
equation we derived quantum hydrodynamic equations for description of
collective properties of excitons in graphene, particularly for the case when
excitons being in the Bose-Einstein condensate (BEC) state. The dispersion of
collective excitations in graphene excitons BEC is studied. We shown that
frequency of collective excitations is proportional to the square root of the
wave vector module: $\omega\sim \sqrt{k}$.
View original: http://arxiv.org/abs/1201.6553