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Title: Photon-assisted electron transport in graphene: Scattering theory analysis

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, such a setup describes a feasible way to probe energy dependent transmission in graphene. This is of substantial interest because the energy dependence of transmission in mesoscopic graphene is the basis of many peculiar transport phenomena proposed in the recent literature. Furthermore, we discuss the relevance of our analysis of ac transport in graphene to the observability of zitterbewegung of electrons that behave as relativistic particles (but with a lower effective speed of light)

Authors:
 [1];  [2]; ;  [3]
  1. Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden (Netherlands)
  2. (Switzerland)
  3. Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft (Netherlands)
Publication Date:
OSTI Identifier:
20976657
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevB.75.035305; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CARBON; DIRAC EQUATION; ELECTRONS; ENERGY DEPENDENCE; PHOTONS; RELATIVISTIC RANGE; SCATTERING; TRANSMISSION; ZITTERBEWEGUNG

Citation Formats

Trauzettel, B., Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, 4056 Basel, Blanter, Ya. M., and Morpurgo, A. F. Photon-assisted electron transport in graphene: Scattering theory analysis. United States: N. p., 2007. Web. doi:10.1103/PHYSREVB.75.035305.
Trauzettel, B., Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, 4056 Basel, Blanter, Ya. M., & Morpurgo, A. F. Photon-assisted electron transport in graphene: Scattering theory analysis. United States. doi:10.1103/PHYSREVB.75.035305.
Trauzettel, B., Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, 4056 Basel, Blanter, Ya. M., and Morpurgo, A. F. 2007. "Photon-assisted electron transport in graphene: Scattering theory analysis". United States. doi:10.1103/PHYSREVB.75.035305.
@article{osti_20976657,
title = {Photon-assisted electron transport in graphene: Scattering theory analysis},
author = {Trauzettel, B. and Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, 4056 Basel and Blanter, Ya. M. and Morpurgo, A. F.},
abstractNote = {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, such a setup describes a feasible way to probe energy dependent transmission in graphene. This is of substantial interest because the energy dependence of transmission in mesoscopic graphene is the basis of many peculiar transport phenomena proposed in the recent literature. Furthermore, we discuss the relevance of our analysis of ac transport in graphene to the observability of zitterbewegung of electrons that behave as relativistic particles (but with a lower effective speed of light)},
doi = {10.1103/PHYSREVB.75.035305},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 3,
volume = 75,
place = {United States},
year = 2007,
month = 1
}
  • No abstract prepared.
  • By employing the invariant four-dimensional representation of the photon- electron interaction, obtained from lowest-order quantum electrodynamics, the Compton scattering kernel is easily found in any coondinate frame. This procedure provides a simple alternative to the usual Lorentz transformation of the scattering kernel (from electron rest frame to frame of interest) used in radiation-hydrodynamics computations and associated movingmedia problems in transpont theory. Furthermore, arbitrary distributions of electrons can be conveniently handled in this representation, and standard predictions for electrons initially at rest can be recovered easily. (1 figure) (auth)
  • Cited by 1
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