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Time dependent behavior of a localized electron at a heterojunction boundary of graphene
Author(s) -
Min Seok Jang,
Hyungjun Kim,
Harry A. Atwater,
William A. Goddard
Publication year - 2010
Publication title -
applied physics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.182
H-Index - 442
eISSN - 1077-3118
pISSN - 0003-6951
DOI - 10.1063/1.3454909
Subject(s) - graphene , quasiparticle , electron , wave packet , finite difference time domain method , condensed matter physics , heterojunction , boundary value problem , physics , materials science , optics , quantum mechanics , superconductivity
We develop a finite-difference time-domain(FDTD) method for simulating the dynamics of graphene electrons, denoted GraFDTD. We then use GraFDTD to study the temporal behavior of a single localized electron wave packet, showing that it exhibits optical-like dynamics including the Goos–Hanchen effect [F. Goos and H. Hanchen, Ann. Phys.436, 333 (1947)] at a heterojunction, but the behavior is quantitatively different than for electromagnetic waves. This suggests issues that must be addressed in designing graphene-based electronic devices analogous to optical devices. GraFDTD should be useful for studying such complex time-dependent behavior of a quasiparticle in graphene.

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