Collective excitations of graphene excitons being in the Bose-Einstein condensate state

Details Collective excitations of graphene excitons being in the Bose-Einstein condensate state Collective excitations of graphene excitons being in the Bose-Einstein condensate state

2012-01-31

arxiv.org/abs/1201.6553v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

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: $\omega\sim \sqrt{k}$.

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