Low Temperature Physics: 39, 18 (2013); https://doi.org/10.1063/1.4775356 (8 pages)
Mesoscopic states in graphene in magnetic field: collapse and revival of wave packets
V.Ya. Demikhovskii, A.V. Telezhnikov, E.V. Frolova, and N.A. Kravets
State University of Nizhni Novgorod 23/3 Prospekt Gagarina, 603950, Nizhni Novgorod, Russia
Received September 13, 2012
The effects of wave packet collapse and revival in monolayer and bilayer graphene at an external perpendicular magnetic field are described. The evolution of electron wave packets, which are a superposition of the states with quantum numbers n around that of some Landau level n0 was studied. The probability densities as well as average velocities of the packet center were calculated analytically and then visualized. The initial wave packet consisting only of positive energy decomposed into several subpackets at the moments t = (m/n)TR, where TR is the revival time and m, n are the mutually prime integers. Besides, it is shown that the behavior of a wave packet containing the states of both energy bands (with En > 0 and En < 0) is more complicated. Such packet splits into two parts, which rotate with a cyclotron frequency in the opposite directions, and then experience collapse and revival. The structure of multipole electromagnetic radiation of these packets is analyzed.
PACS: 73.22.Pr Electronic structure of graphene;
Key words: graphene, dynamics of the wave packets, mesoscopic states.