Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-08-13
New J. Phys., vol. 11, 093010 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
22 pages, 10 figures, 3 movies, to appear in New Journal of Physics
Scientific paper
10.1088/1367-2630/11/9/093010
We investigate the propagation of wave-packets on graphene in a perpendicular magnetic field and the appearance of collapses and revivals in the time-evolution of an initially localised wave-packet. The wave-packet evolution in graphene differs drastically from the one in an electron gas and shows a rich revival structure similar to the dynamics of highly excited Rydberg states. We present a novel numerical wave-packet propagation scheme in order to solve the effective single-particle Dirac-Hamiltonian of graphene and show how the collapse and revival dynamics is affected by the presence of disorder. Our effective numerical method is of general interest for the solution of the Dirac equation in the presence of potentials and magnetic fields.
Kramer Tobias
Krueckl Viktor
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