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

2012/01/31 by Pavel A. Andreev, P. A. Andreev, Andreev, P. A.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Electrodynamics and Casimir Effect #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Strong Light-Matter Interactions #cond-mat.mes-hall #cond-mat.quant-gas #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.48550/arxiv.1201.6553

4 pages

arxiv created 2012/01/31 · openalex publication_date 2012/01/31 · arxiv updated 2012/02/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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: ω∼ √(k).

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