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Russian Physics Journal

, Volume 59, Issue 11, pp 1875–1880 | Cite as

Numerical Computation of Dynamical Schwinger-like Pair Production in Graphene

  • F. Fillion-Gourdeau
  • P. Blain
  • D. Gagnon
  • C. Lefebvre
  • S. Maclean
Article

The density of electron-hole pairs produced in a graphene sample immersed in a homogeneous time-dependent electric field is evaluated. Because low energy charge carriers in graphene are described by relativistic quantum mechanics, the calculation is performed within the strong field quantum electrodynamics formalism, requiring a solution of the Dirac equation in momentum space. The equation is solved using a split-operator numerical scheme on parallel computers, allowing for the investigation of several field configurations. The strength of the method is illustrated by computing the electron momentum density generated from a realistic laser pulse model. We observe quantum interference patterns reminiscent of Landau–Zener–Stückelberg interferometry.

Keywords

graphene pair production Dirac equation Schwinger mechanism 

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  • F. Fillion-Gourdeau
    • 1
    • 2
  • P. Blain
    • 1
  • D. Gagnon
    • 1
    • 2
  • C. Lefebvre
    • 1
    • 2
  • S. Maclean
    • 1
    • 2
  1. 1.Université du Québec, Inrs-Énergie, Matériaux et TélécommunicationsVarennesCanada
  2. 2.Institute for Quantum ComputingUniversity of WaterlooWaterlooCanada

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