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Photon-assisted electron transport in graphene | | B. Trauzettel
; Ya. M. Blanter
; A. F. Morpurgo
; | | Date: |
20 Jun 2006 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | | Abstract: | Photon-assisted electron transport in ballistic graphene is analyzed using scattering theory. We show that the presence of an ac signal (applied to a gate electrode in a region of the system) has interesting consequences on electron transport in graphene, where the low energy dynamics is described by the Dirac equation. In particular, we discuss a feasible way to generate an electron wave function in graphene that contains solutions to the Dirac equation at different energies. Such a wave function is essential to see evidence of zitterbewegung of relativistic fermions. We show, however, that an oscillating current as a consequence of this wave function is not sufficient to prove the presence of zitterbewegung in graphene, because of its similarity to the corresponding transport problem based on the Schroedinger equation. In the dc limit of photon-assisted transport, zitterbewegung is certainly not directly observable. However, sharp steps appear in dG/dV (as a function of bias V), where G is the differential conductance. This is a distinct signature of ballistic transport of Dirac electrons and can be used as a spectrometer for finite frequency noise. | | Source: | arXiv, cond-mat/0606505 | | Services: | Forum | Review | PDF | Favorites | |
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