Time dependent behavior of a localized electron at a heterojunction boundary of graphene
Min Seok Jang, Hyungjun Kim, Harry A. Atwater, William A. Goddard III
2010Applied Physics Letters, 97(4), Art. No. 04350423cited
Abstract
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–Hänchen effect [ F. Goos and H. Hänchen, 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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Cite this publication
Jang, M. S., Kim, H., Atwater, H. A., & III, W. A. G. (2010). Time dependent behavior of a localized electron at a heterojunction boundary of graphene. *Applied Physics Letters*, *97*(4), Art. No. 043504. https://doi.org/10.1063/1.3454909