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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Revivals of quantum wave packets in graphene

Viktor Krueckl1,3 and Tobias Kramer1,2,3

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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 localized 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.


PACS

73.21.-b Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems

73.22.-f Electronic structure of nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals

61.48.-c Structure of fullerenes and related hollow molecular clusters

Subjects

Surfaces, interfaces and thin films

Condensed matter: structural, mechanical & thermal

Nanoscale science and low-D systems

Dates

Issue 9 (September 2009)

Received 3 July 2009

Published 14 September 2009



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