2012/01/03 by Pavel A. Andreev, Andreev, Pavel A.
Materials Science · Physics and Astronomy · #Diamond and Carbon-based Materials Research #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Plasma Physics (physics.plasm-ph) #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #cond-mat.mes-hall #physics.plasm-ph #quant-ph
paper · pdf · doi:10.48550/arxiv.1201.0779
7 pages, 3 figures
openalex publication_date 2012/01/03 · arxiv created 2012/09/19 · arxiv updated 2012/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Collective excitations in graphene monolayer are studied. Equations describing collective properties of electrons in graphene are obtained. The basic ideas of the method of many-particle quantum hydrodynamics are used for the derivation. As starting point of the derivation we use the Dirac equation for massless electrons which is usually used for description of electrons in graphene [D. E. Sheehy and J. Schmalian, Phys. Rev. Lett. 99, 226803 (2007)], where the Coulomb interaction is taken into account. We study dispersion properties of collective excitations by means derived here graphene quantum hydrodynamics equations (GQHD). We consider graphene in the external magnetic field which directed at an angle to the graphene sample. We do it in a linear approximation of the GQHD equations. We observe that the magnetic field directed perpendicular to the graphene plane had no influence on dispersion of the collective excitations. For the magnetic field directed at an angle to the graphene we obtain dependence of wave dispersion on system parameters: strength of magnetic field, wave vector, direction of wave propagation relatively to the magnetic field.