Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-01-03
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
7 pages, 2 figures
Scientific paper
Monolayer graphene collective excitations are studied. The equations describing collective properties of electrons in graphene were obtained. For the derivation the basic ideas of the method of many-particle quantum hydrodynamics were used. As starting point of derivation we used the Dirac's like equation for massless electrons which usually using for description of electrons in graphene [D. E. Sheehy and J. Schmalian, Phys. Rev. Lett. 99, 226803 (2007)], where the Coulomb interaction taken into account. We studied the dispersion properties of collective excitations by means derived here quantum hydrodynamics equations for graphene (GQHD). We considered graphene in the external magnetic field which directed at an angle to the graphene sample in linear approximation for GQHD equations. We observe that the magnetic field directed perpendicular to the graphene plane had no influence on collective excitation dispersion. For the magnetic field directed at an angle to the graphene we receive dependence of wave dispersion on system parameters: strength of magnetic field, wave vector, direction of wave propagation relatively to the magnetic field.
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