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Published July 26, 2010 | Published
Journal Article Open

Time dependent behavior of a localized electron at a heterojunction boundary of graphene


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.

Additional Information

© 2010 American Institute of Physics. Received 11 February 2010; accepted 25 May 2010; published online 29 July 2010. This work was supported by DOE LMI EFRC under Grant No. DE-SC0001293 (M.S.J. and H.A.A.) and the Functional Engineered Nano Architectronics (FENA) via the Microelectronics Advanced Research Corporation (MARCO) with the prime award (2009–NT-2048) at UCLA (PI Kang Wang). H.J. and W.A.G. also acknowledge support from the WCU programs through NRF of Korea funded by the MEST (Grant No. R31-2008-000-10055-0). Two of the authors (M.S.J. and H.K.) contributed equally to this work.

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Published - Jang2010p11281Appl_Phys_Lett.pdf


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